Ques. The ratio of the two numbers is 3:4 and their HCF is 4. Their LCM is:

Op 1: 12

Op 2: 16

Op 3: 24

Op 4: 48

Correct Op: 4

Ques. What will be obtained if 8 is subtracted from the HCF of 168, 189, and 231?

Op 1: 15

Op 2: 10

Op 3: 21

Op 4: None of these

Correct Op: 4

Ques. The product of the two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

Op 1: 1

Op 2: 2

Op 3: 3

Op 4: 4

Correct Op: 2

Ques. There are four prime numbers written in ascending order of magnitude. The product of first

three

is 385 and that of the last three is 1001. Find the first number.

Op 1: 5

Op 2: 7

Op 3: 11

Op 4: 17

Correct Op: 1

Amcat-Q1: The probability that a student passes Subject A, B, or C is 98%. The probability

that he or she passes A is 41%, B is 59%. The probability that he or she passes A and C is

25% and B and C is 20%. The probability that he or she passes all the 3 subjects is 14%.

What is the probability that he or she passes subject C?

Ans. 29

Amcat-Q2: Ritu has 3 shirts in shades of red, 4 in yellow shades, and 5 in green shades.

Three shirts are picked at random. the probability that all of those are in red shades is :

Ans. 3c3/12c3

Amcat-Q3: Sangeeta invested rs.20,000 at 8 % per annual. if the interest is compounded

half-yearly, then the total interest earned by Sangeeta at the end of the year is:

Ans. 1632

Amcat-Q4: Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elam takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A: 8 hours

B: 7 hours 30 minutes

C: 8 hours 15 minutes

D: 8 hours 15 minutes

Correct: Option C

Amcat-Q5: Express 4.33333 in p/q form

Answer: 4.33333 can be written as

4+(1/3) since 1/3=.33333

so the answer is 13/3

Amcat-Q6: Two trains each 500 m long, are running in opposite directions on parallel tracks.

If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to

pass the driver of the faster one is

A. 50 sec

B. 58 sec

C. 24 sec

D. 22 sec

Answer: C

Amcat-Q7: How many seconds will a 500-meter long train move with a speed of 63 km/hr,

take to cross a man walking with a speed of 3 km/hr in the direction of the train?

A. 42

B. 50

C. 28

D. 30

Answer: D

Amcat-Q8: The cost price of Rs. 100 stock at 4 discount, when brokerage is 15% is

A. Rs. 96.25

B. Rs. 96.2

C. Rs. 97.25

D. Rs. 97.5

Answer: A

Amcat-Q9: A man invests some money partly in 12% stock at 105 and partly in 8% stock at 88. To obtain equal dividends from both, he must invest the money in the ratio:

A. 31: 44

B. 35: 44

C. 16: 15

D. 31: 27

Answer: B

Amcat-Q10: Which pair of rational numbers lie between 1/5 and 2/5 –

A) 262/1000, 275/1000

B) 362/1000, 562/1000

C) 451/1000, 552/1000

D) 121/1000,131/1000

Answer: A

Amcat-Q11: The market value of a 10.5% stock, in which an income of Rs. 756 is derived

by investing Rs. 9000, brokerage being 1⁄4 %, is:

A. Rs. 124.75

B. Rs. 108.25

C. Rs. 125.25

D. Rs. 112.20

Answer: A

Amcat-Q12: What is the value of 100P2?

A. 9801

B. 12000

C. 5600

D. 9900

Answer : D

Amcat-Q13: One pipe can fill a tank four times as fast as another pipe. If together the two

pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

A. 144 min

B. 180 min.

C. 126 min

D. 114 min

Answer : D

Amcat-Q14: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe

fills water at the rate of 4 liters a minute. When the tank is full, the inlet is opened and due to

the leak, the tank is empty in 24 hours. How many liters does the cistern hold?

A. 4010 liter

B. 2220 liter

C. 1920 liter

D. 2020 liter

Answer: C

Amcat-Q15: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap

in 8 hours. If both the taps are opened simultaneously, then after how much time will the

cistern get filled?

A. 4.8 hr

B. 2.4 hr

C. 3.6 hr

D. 1.8 hr

Answer: A

Amcat-Q16: Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both

the taps are open then due to a leakage, it took 40 minutes more to fill the tank. If the tank is

full, how long will it take for the leakage alone to empty the tank?

A. 22 hr

B. 16 hr

C. 28 hr

D. 32 hr

Answer : C

Amcat-Q17: Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to

fill the empty drum. How many turns it will take for both the buckets P and Q, having each

turn together to fill the empty drum?

A. 30

B. 45

C. 60

D. 80

Answer: C

Amcat-Q18: How many 3-letter words with or without meaning, can be formed out of the

letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

A. 720

B. 420

C. None of these

D. 5040

Answer: A

Amcat-Q19: In how many different ways can the letters of the word ‘LEADING’ be arranged

such that the vowels should always come together?

A. None of these

B. 720

C. 420

D. 122

Answer : B

Amcat-Q20: A coin is tossed 3 times. Find out the number of possible outcomes.

A. None of these

B. 1

C. 2

D. 8

Answer : D

Amcat-Q21: In how many different ways can the letters of the word ‘DETAIL’ be arranged

such that the vowels must occupy only the odd positions?

A. None of these

B. 64

C. 120

D. 36

Answer : D

Amcat-Q22: A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways

can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?

A. 64

B. 128

C. 32

D. None of these

Answer: A

Amcat-Q23: What is the HCF of 13, 23, and 14?

A. 2/3

B. 1/3

C. 1/4

D. 1/12

Answer : D

Amcat-Q24: Two trains, one from P to Q and the other from Q to P, start simultaneously.

After they meet, the trains reach their destinations after 9 hours and 16 hours respectively.

The ratio of their speeds is

A. 2 : 3

B. 2 :1

C. 4 : 3

D. 3: 2

Answer: C

Amcat-Q25: A train having a length of 1/4 mile, is traveling at a speed of 75 mph. It enters a

tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the

moment the front enters to the moment the rear emerges?

A. 3 min

B. 4.2 min

C. 3.4 min

D. 5.5 min

Answer: A

**Paper 2**

Amcat-Q1: A can do a particular work in 6 days. B can do the same work in 8 days. A and

B signed to do it for Rs. 3200. Did they complete the work in 3 days with the help of C. How

much is to be paid to C?

1) Rs. 380

2) Rs. 600

3) Rs. 420

4) Rs. 400

Answer: 4

Amcat-Q2: P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q

can finish the work in — days

1) 1

2) 2

3) 3

4) 4

Answer: 4

Amcat-Q3: A certain sum of money amounts to Rs. 2500 in a Span of 5 years and further to Rs. 3000 in a span of 7 years at simple interest. The sum is:

A: 1200

B: 1050

C: 1250

D: 1000

Answer: C

Amcat-Q4: Four different electronic devices make a beep after every 30 minutes, 1 hour, 3/2

an hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They

will again beep together at:

Op 1: 12 midnight

Op 2: 3 a.m.

Op 3: 6 a.m.

Op 4: 9 a.m.

Answer: Op 4

Amcat-Q5: An integer X is saved as an unsigned 8-bit number, 00001011.What is X?

Op 1: 22

Op 2: 11

Op 3: 10

Op 4: None of these

Answer: op 2

Amcat-Q6: What is the greatest number which on dividing 1223 and 2351 leaves

remainders 90 and 85 respectively?

A. 1133

B. 127

C. 42

D. 1100

Answer: A

Amcat-Q7: What is the least multiple of 7 which leaves a remainder of 4 when divided by 6,

9, 15, and 18?

A. 364

B. 350

C. 343

D. 371

Answer: A

Amcat-Q8:

Two trains, every 100 m long are moving in opposite directions. They cross each

other in 8 seconds. If one is moving twice as fast as the other, the speed of the faster train is

A. 75 km/hr

B. 60 km/hr

C. 35 km/hr

D. 70 km/hr

Answer: B

Amcat-Q9: Two stations P and Q are 110 km apart on a straight track. One train starts from P

at 7 a.m. and travels towards Q at 20 mph. Another train starts from Q at 8 a.m. and travels

towards P at a speed of 25 Kmph. At what time will they meet?

A. 10.30 a.m

B. 10 a.m.

C. 9.10 a.m.

D. 11 a.m.

Answer: B

Amcat-Q10: A train overtakes two persons who are walking in the same direction to that of

the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively.

What is the length of the train?

A. 62 m

B. 54 m

C. 50 m

D. 55 m

Answer: C

Amcat-Q11: A company needs to choose a team of 4 from a group of 3 content managers, 3

R&D engineers and 5 client engagement managers for the completion of a project. What is

the probability that exactly 3 of them are client engagement managers?

Answer: 2/11

Amcat-Q12: Three successive discounts of 6%,10%,15% is equal to a single discount of

a 25%

b 28.90%

c 30%

d 31%

e 28.09%

Answer: e

Amcat-Q13: Which of the following numbers is the smallest number?

A: 1/6

B: 1/3

C: 1/4

D: 1/12

Answer: 1/12

Amcat-Q14: if ab,c are GP then loga, logb, logc are in

a) ap

b) GP

c) hp

d) None

Answer: a

Amcat-Q15: In a purse, there are 30 coins, twenty-one-rupee, and the remaining 50-paise coins.

Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now

picked from the box, find the probability of it being a rupee coin?

Op 1: 4/7

Op 2: 1/2

Op 3: 2/3

Op 4: 5/6

Answer: op 3

Amcat-Q16: 47,322 bulb are to be packed several boxes. Each box should contain”s equal

Numbers of bulbs and no bulb should be unpacked a number of boxed used can be:

12

11

8

14

Answer: 2

Amcat-Q17: A, B, C, D, and E play the following game. Each person picks one card from

cards numbered 1 through 10. The person who picks the greatest numbered card loses and is

out of the game. Now the remaining four return their cards to the pack and draw again, and

Op 1: 3/14

Op 2: 4/17

Op 3: 1/5

Op 4: 5/24

Answer: op 3

Ques. There are four prime numbers written in ascending order of magnitude. The product of first

three

is 385 and that of the last three is 1001. Find the first number.

Op 1: 5

Op 2: 7

Op 3: 11

Op 4: 17

Op 5:

Correct Op : 1

Ques. A rectangular courtyard 3.78 meters long and 5.25 meters wide is to be paved exactly with

square

tiles ,all of the same size. What is the largest size of the tile which could be used for the

purpose?

Op 1: 14 cm

Op 2: 21 cm

Op 3: 42 cm

Op 4: None of these

Op 5:

Correct Op : 2

Ques. The largest four digit number which is a multiple of 8, 10,12 and 15 is:

Op 1: 120

Op 2: 9600

Op 3: 9840

Op 4: 9960

Op 5:

Correct Op : 4

Ques. Rajeev multiplies a number by 10, the log (to base 10) of this number will change in what

way?

Op 1: Increase by 10

Op 2: Increase by 1

Op 3: Multiplied by 10

Op 4: None of these

Op 5:

Correct Op : 2

Ques. The unit’s digit in the product (771 x 659 x 365) is

Op 1: 1

Op 2: 2

Op 3: 4

Op 4: 6

Op 5:

Correct Op : 3

Ques. 1.52 * 0.02251/2 = ?

Op 1: 0.0375

Op 2: 0.3375

Op 3: 3.275

Op 4: 32.75

Op 5:

Correct Op : 2

Ques. If x1/2 / 4411/2 = 0.02, the value of x is:

Op 1: 0.1764

Op 2: 1.764

Op 3: 1.64

Op 4: 2.64

Op 5:

Correct Op : 1

Ques. The value of 21/2 upto three places of decimal is

Op 1: 1.41

Op 2: 1.412

Op 3: 1.413

Op 4: 1.414

Op 5:

Correct Op : 4

Ques. The value of (8-25- 8-26) is:

Op 1: 7 x 8-25

Op 2: 7 x 8-26

Op 3: 8 x 8-26

Op 4: None of these

Op 5:

Correct Op : 2

Ques. If 22n-1 = (1 / 8n-3) then the value of n is:

Op 1: 3

Op 2: 2

Op 3: 0

Op 4: -2

Op 5:

Correct Op : 2

Ques. If 2x = 3y = 6-z, then (1/x + 1/y + 1/z)

is equal to:

Op 1: 0

Op 2: 1

Op 3: 3/2

Op 4: -0.5

Op 5:

Correct Op : 1

Ques. The roots of the equation 4x-3*2x+2+32=0 would includeOp 1: 2, 3 Op 2: 1, 2, 3 Op 3: 1, 2 Op 4: 4, 8 Op 5: Correct Op : 1 Ques. If ax =b, by=c and cz =a, then the value of xyz is: Op 1: 0 Op 2: 1 Op 3: 2 Op 4: 3 Op 5: Correct Op : 2 Ques. If x = 1+21/2 and y=1-21/2, then x2+y2 is – Op 1: 2 Op 2: 3 Op 3: 6 Op 4: 0 Op 5: Correct Op : 3 Ques. If 4x+3 = 2x+7, then the value of x is: Op 1: 3 Op 2: 2 Op 3: 1 Op 4: None of these Op 5: Correct Op : 2 Ques. 2x+y = 2*(2)1/2 and 2x-y = 21/2,the value of x is:

Op 1: 1

Op 2: 2

Op 3: 3

Op 4: 4

Op 5: None of these

Correct Op : 1

Ques. If x = 8, y = 27, the value of (x4/3+y2/3)1/2 is:

Op 1: 5

Op 2: 6

Op 3: 7

Op 4: 8

Op 5: None of these

Correct Op : 1

Ques. If xy = yx and x = 2y, the value of y is:

Op 1: 1

Op 2: 2

Op 3: 3

Op 4: 4

Op 5: None of these

Correct Op : 2

Ques. If 2x * 3y = 18 and 22x * 3y= 36, the value of x is:

Op 1: 0

Op 2: 1

Op 3: 2

Op 4: 3

Op 5: None of these

Correct Op : 2

Ques. What is the value of 500 ?

Op 1: 0

Op 2: 1

Op 3: 50

Op 4: None of these

Op 5:

Correct Op : 2

Ques. What is the value of 6-2 ?

Op 1: 1/36

Op 2: 36

Op 3: -36

Op 4: None of these

Op 5:

Correct Op : 1

Ques. What is the value of 0-10 ?

Op 1: 0

Op 2: 1

Op 3: -10

Op 4: None of these

Op 5:

Correct Op : 4

Ques. What is the value of 251.5 ?

Op 1: 325

Op 2: 32.5

Op 3: 125

Op 4: None of these

Op 5:

Correct Op : 3

Ques. What is the value of (0.027)1/3?

Op 1: 0.3

Op 2: 0.03

Op 3: 0.003

Op 4: None of these

Op 5:

Correct Op : 1

Ques. What is the value of (0.016)1/4?

Op 1: 0.2

Op 2: 0.02

Op 3: 0.002

Op 4: None of these

Op 5:

Correct Op : 4

Ques. What is the value of: x1.5 * x2 ?

Op 1: x3

Op 2: x3.5

Op 3: x0.75

Op 4: None of these

Op 5:

Correct Op : 2

Ques. What is the value of (3381220)/95?

Op 1: 0

Op 2: 3

Op 3: 1/3

Op 4: None of these

Op 5:

Correct Op: 2

Ques. What number should be divided by (0.81)1/2 to give the result as 81?

Op 1: 9

Op 2: 81

Op 3: 72.9

Op 4: 0.9

Op 5:

Correct Op : 3

Ques. If 6(x-3) = 36(x-5), then what is the value of x?

Op 1: 2

Op 2: No value will agree

Op 3: -1

Op 4: 7

Op 5:

Correct Op : 4

Ques. Which is the largest among 21/2, 51/3 and 41/4 ?

Op 1: (2)1/2

Op 2: 51/3

Op 3: 41/4

Op 4: None of these

Op 5:

Correct Op : 2

Ques. What is the value of 10009/1004?

Op 1: 1005

Op 2: 105

Op 3: 1019

Op 4: None of these

Op 5:

Correct Op : 3

Ques. Which of the following fractions is less than 7/8 and greater than 1/3 ?

Op 1: 1/4

Op 2: 23/24

Op 3: 11/12

Op 4: 11/24

Op 5:

Correct Op : 4

Ques. 892.7 – 573.07 – 95.007 = ?

Op 1: 224.623

Op 2: 224.777

Op 3: 233.523

Op 4: 414.637

Op 5:

Correct Op : 1

Ques. Which is the closest approximation to the product 0.3333 x 0.25 x 0.499 x 0.125 x 24 ?

Op 1: 1/8

Op 2: 3/4

Op 3: 3/8

Op 4: 2/5

Op 5:

Correct Op : 1

Ques. Find the value of X :

0.009/X = 0.01

Op 1: 0.0009

Op 2: 0.09

Op 3: 0.9

Op 4: 9

Op 5:

Correct Op : 3

Ques. The least among the following is:

Op 1: 0.2

Op 2: 1/0.2

Op 3: 0.22222222

Op 4: (0.2)2

Op 5:

Correct Op : 4

Ques. In the following expression, there are two missing digits: * and #. Find the value of *. 1*5#4 / 148 = 78

Op 1: 1

Op 2: 4

Op 3: 6

Op 4: 8

Op 5: None of these

Correct Op : 1

Ques. What is the value of (-5)(4)(2)(-1/2)(3/4) ?

Op 1: -30

Op 2: -15

Op 3: 15

Op 4: 30

Op 5:

Correct Op : 3

Ques. If x * y = x2 + y2 – xy, then the value of 9 * 11 is:

Op 1: 93

Op 2: 103

Op 3: 113

Op 4: 121

Op 5:

Correct Op : 2

Ques. If a = 0.1039, then the value of (4a2 – 4a + 1)1/2 + 3a is:

Op 1: 0.1039

Op 2: 0.2078

Op 3: 1.1039

Op 4: 2.1039

Op 5:

Correct Op : 3

Ques. If a, b, c, d, e are five consecutive odd numbers, their average is:

Op 1: 5 (a + 4)

Op 2: (abcde/5)

Op 3: 5 (a + b + c + d + e)

Op 4: None of these

Op 5:

Correct Op : 4

Ques. (x % of 932) + 30 = 309.6

Find x.

Op 1: 25

Op 2: 30

Op 3: 35

Op 4: 40

Op 5:

Correct Op : 2

Ques. Which of the following multipliers will cause a number to be increased by 29.7% ?

Op 1: 1.297

Op 2: 12.97

Op 3: 129.7

Op 4: 1297

Op 5:

Correct Op : 1

Ques. If 2A = 3B and 4B = 5C, then A: C is:

Op 1: 4 : 3

Op 2: 8 : 15

Op 3: 15 : 8

Op 4: 3 : 4

Op 5:

Correct Op : 3

Ques. 0.4777 . . . is the recurring decimal for the fraction:

Op 1: 4777/100000

Op 2: 477/100

Op 3: 437/1000

Op 4: 43/90

Op 5:

Correct Op : 4

Ques. 0.8888 ÷ 0.011 is equal to:

Op 1: 8.08

Op 2: 80.8

Op 3: 0.808

Op 4: None of these

Op 5:

Correct Op : 2

Ques. The ascending order of rational numbers -7/10, 5/-8, 2/-3 is:

Op 1: -7/10, 2/-3, 5/-8

Op 2: -7/10, 5/-8, 2/-3

Op 3: 5/-8, -7/10, 2/-3

Op 4: 2/-3, 5/-8, -7/10

Op 5:

Correct Op : 1

Ques. If A is real and 1 + A + A2 + A3 = 40, then A is equal to:

Op 1: -3

Op 2: -1

Op 3: 1

Op 4: 3

Op 5:

Correct Op : 4

Ques. (1 + 3 + 5 + … + 3983) / 1992 = ?

Op 1: 1988

Op 2: 1992

Op 3: 1990

Op 4: None of these

Op 5:

Correct Op : 2

Ques. Which one of the following should be added to 25p2 + 16q2, so that the resulting sum

becomes a

perfect square?

Op 1: 20pq

Op 2: 30pq

Op 3: 40pq

Op 4: 50p2q2

Op 5:

Correct Op : 3

Ques. (1.0816) 1/2= ?

Op 1: 0.14

Op 2: 1.4

Op 3: 1.004

Op 4: 1.04

Op 5:

Correct Op : 4

Ques. If the digit in the units place of a square natural number is 6, then the digit in the tens

place will

be:

Op 1: 1

Op 2: 3

Op 3: Even

Op 4: Odd

Op 5:

Correct Op : 4

Ques. (a+b)3-(a-b)3 can be factorized as:

Op 1: 2b(3a2+b2)

Op 2: 2a(3a2+b2)

Op 3: 2b(3b2+a2)

Op 4: 2a(a2+3b2)

Op 5:

Correct Op : 1

Ques. If 9×2+3px+6q when divide by 3x+1 leaves a remainder -3/4 and qx2+4px+7 is exactly

divisible by

x+1, then the values of p and q respectively will be:

Op 1: 0, 7/4

Op 2: -7/4, 0

Op 3: Same

Op 4: 7/4, 0

Op 5:

Correct Op : 4

Ques. The equations 2x+3y-7=0 and 10x+15y-35=0 are:

Op 1: Consistent and have unique solution

Op 2: Consistent and have infinitely many solutions

Op 3: inconsistent

Op 4: none of these

Op 5:

Correct Op : 2

Ques. The solution of the simultaneous equations (1/2)x + (1/3)y = 2 and x+y=1 is:

Op 1: x = 0, y = 1

Op 2: x = 1, y = 0

Op 3: x = 2/3, y = 3/2

Op 4: x = 10, y = -9

Op 5:

Correct Op : 4

Ques. If the equation x2-2(k+1)x+(9/2)k=0 has two identical roots then the values of k are:

Op 1: k=1, 2

Op 2: k=2 or 1/2

Op 3: k=3, 1/2

Op 4: none of these

Op 5:

Correct Op : 2

Ques. The number which should be subtracted from 5a2-3ab+7b2 to make it equal to a2+ab+b2,

is:

Op 1: 4a2-4ab+6b2

Op 2: 4a2-4ab+5b2

Op 3: 4a2+4ab+6b2

Op 4: 4a2-3ab+6b2

Op 5: None of these

Correct Op : 1

Ques. If x = (1/2) (2p+2q-r), y = (1/3) (-p-2q+3r) and z=(1/5) (3p-4r+5q), then the value of 2x-3y5z is:

Op 1: 0

Op 2: -q

Op 3: 2

Op 4: None of these

Op 5:

Correct Op : 2

Ques. The roots of the quadratic equation 6×2-5x+1=0 are:

Op 1: 2,3

Op 2: 1/2,1/3

Op 3: 3,4

Op 4: 1/3,1/4

Op 5: None of these

Correct Op : 2

Ques. If a = 16, b=25, the value of 1/(a-1/2 – b-1/2) is:

Op 1: 10

Op 2: 15

Op 3: 20

Op 4: 25

Op 5: 30

Correct Op : 3

Ques. 3a2 (ab+bc+ca) =

Op 1: 3a2+3a2bc+3a3c

Op 2: 3a3b+3a2bc+3c

Op 3: 3a3b+3a2bc+3a3c

Op 4: a3b+abc+a2c

Op 5: None of these

Correct Op : 3

Ques. x4y-xy4 =

Op 1: xy(x-y)(x2 + xy + y2)

Op 2: xy(x+y)(x2-xy+y4)

Op 3: x(xy-1)(x2-xy+y)

Op 4: (x3+y2)xy

Op 5: None of these

Correct Op : 1

Ques. Factors of 6a2-25a+4 are:

Op 1: (a+4) (a-6)

Op 2: (a-4) (6a+1)

Op 3: (a-4)(6a-1)

Op 4: (a-6) (a-4)

Op 5: None of these

Correct Op : 3

Ques. The correct relationship after eliminating x, y and z from x+y = a, y+z=b and z+x = c and

x+y+z = m,

is:

Op 1: m=x+y+z

Op 2: 2m=a+b+c

Op 3: m=x-y-z

Op 4: 2m=x-y-z

Op 5: None of these

Correct Op : 2

Ques. If r = at2 and s = 2at, the relation among s, r and a is:

Op 1: s2=4ar

Op 2: s=ar

Op 3: s=2ar

Op 4: s2=ar

Op 5: None of these

Correct Op : 1

Ques. If a+b=6, ab=5, the value of a-b is:

Op 1: 4

Op 2: 5

Op 3: 6

Op 4: 7

Op 5: 9

Correct Op : 1

Ques. |X – 5| + 4 > 0 and |X2| < 4. Then x can be:

Op 1: 4

Op 2: 2

Op 3: 0.5

Op 4: All of these

Op 5:

Correct Op : 3

Ques. If f(x) = sum of all the digits of x, where x is a natural number, then what is the value of

f(101)+f(102)+f(103)+ .. +f(200)?

Op 1: 1000

Op 2: 784

Op 3: 999

Op 4: 1001

Op 5:

Correct Op : 4

Ques. Pawan is a very confused person. Once he wrote 1+2+3+4+5+6+7+8+9+10 = 100. In how

many

places you need to change ‘+’ with ‘ * ‘ to make the equality hold good ?

Op 1: 2

Op 2: 4

Op 3: 3

Op 4: None of these

Op 5:

Correct Op : 3

Ques. What is the highest power of 82 contained in 83!-82! ?

Op 1: 3

Op 2: 2

Op 3: 164

Op 4: None of these

Op 5:

Correct Op : 1

Ques. If x = 0.75, then what is the value of the expression (1+x+x2) + x3/(1-x) ?

Op 1: 0.25

Op 2: 4

Op 3: 1.75

Op 4: 1

Op 5:

Correct Op : 2

Ques. If a lies between 2 and 3, both included, and b lies between 4 and 6, both included, then

what is

the ratio of minimum and maximum limits of a2-b2?

Op 1: -4

Op 2: 4

Op 3: 32/7

Op 4: – 28/6

Op 5:

Correct Op : 3

Ques. If a, b, c are roots of the equation 1×3-4×2+6.5x + 3.5 = 0, then what is the value of a2 +

b2 + c2?

Op 1: 1

Op 2: 64

Op 3: 169

Op 4: 3

Op 5:

Correct Op : 4

Ques. If |x| + |y| = 7, then what is the sum of minimum and maximum values of x + y?

Op 1: 3/2

Op 2: -7

Op 3: 7

Op 4: 0

Op 5:

Correct Op : 4

Ques. 832.58-242.31 =779.84- ?

Op 1: 179.57

Op 2: 199.57

Op 3: 295.05

Op 4: None of these

Op 5:

Correct Op : 4

Ques. Which is the closest approximation to the product 0.3333 * 0.25 * 0.499 * 0.125 * 24 ?

Op 1: 1/8

Op 2: 3/4

Op 3: 3/8

Op 4: 2/5

Op 5:

Correct Op : 1

Ques. The simplification of (0.2 * 0.2 + 0.02 * 0.02 – 0.4 * 0.02) / 0.36

Op 1: 0.009

Op 2: 0.09

Op 3: 0.9

Op 4: 9

Op 5:

Correct Op : 2

Ques. If 13 + 23+ 33+ ……….+ 93 = 2025 ,then the value of (0.11)3 + (0.22)3 + ….+ (0.99)3 is

close to:

Op 1: 0.2695

Op 2: 0.3695

Op 3: 2.695

Op 4: 3.695

Op 5:

Correct Op : 3

Ques. In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven

coins are

picked simultaneously at random and are placed in a box. If a coin is now picked from the box,

find the

probability of it being a rupee coin?

Op 1: 4/7

Op 2: 1/2

Op 3: 2/3

Op 4: 5/6

Op 5:

Correct Op : 3

Ques. Which among the following is greatest: 51/2, 111/3, 1231/6 ?

Op 1: 51/2

Op 2: 111/3

Op 3: 1231/6

Op 4: All are equal

Op 5:

Correct Op : 1

Ques. What are the unit’s digits of 369, 6864, 4725 respectively ?

Op 1: 9,6 and 6

Op 2: 6, 6 and 6

Op 3: 3,6 and 4

Op 4: None of these

Op 5:

Correct Op : 3

Ques. A = 11 * 22 * 33 * 44 * 55 * ……..1010. How many zeroes will be there at the end of A ?

Op 1: 6

Op 2: 15

Op 3: 10

Op 4: None of these

Op 5:

Correct Op : 2

Ques. If x = 3 + 31/2, then what is the value of x2 + 9/x2 ?

Op 1: 15 + 3 * 31/2

Op 2: 18 + 3 * 31/2

Op 3: 27 + 3 * 31/2

Op 4: None of these

Op 5:

Correct Op : 4

Ques. If x4 + 1/x4 = 47, then find the value of x3 + 1/x3

Op 1: 18

Op 2: 27

Op 3: 9

Op 4: 12

Op 5:

Correct Op : 1

Ques. An article was sold for Rs. 2770. Had it been sold for Rs. 3000 there would have been an

additional

gain of 10%. Cost Price of the article is:

Op 1: Rs. 2100

Op 2: Rs. 2200

Op 3: Rs. 2300

Op 4: Rs. 2400

Op 5: None of these

Correct Op : 3

Ques. Rakesh buys a scooter worth Rs. 10,000. He sells it to Mohan at a profit of 10%. If after

sometime

Mohan sells it back to Rakesh at a loss of 10%, then totally:

Op 1: Rakesh loses Rs. 100

Op 2: Rakesh loses Rs. 1100

Op 3: Rakesh gains Rs. 100

Op 4: Rakesh gains Rs. 1100

Op 5: None of these

Correct Op : 4

Ques. The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10%

are allowed,

its selling price will be:

Op 1: Rs. 229.50

Op 2: Rs.231.50

Op 3: Rs.232.50

Op 4: Rs. 234.50

Op 5: None of these

Correct Op : 1

Ques. The rate of compound interest at which a sum of Rs. 8000 amounts to Rs. 8820 in 2

years is:

Op 1: 5%

Op 2: 4%

Op 3: 6%

Op 4: 7%

Op 5: None of these

Correct Op: 1

Ques. Prabodh bought 30 kg of rice at the rate of Rs. 8.50 per kg and 20 kg of rice at the rate of

Rs. 9.00

per kg. He mixed the two. At what price (App.) per kg should he sell the mixture in order to get

20%

profit?

Op 1: Rs. 9.50

Op 2: Rs. 8.50

Op 3: Rs. 10.50

Op 4: Rs. 12.00

Op 5:

Correct Op : 3

Ques. The cash price of a television is Rs. 4022. A customer paid Rs. 1500 in cash and

promised to pay

the remaining money in 3 monthly equal instalments at the rate of 5% per annum compound

interest.

What is the value of each instalment?

Op 1: Rs. 926.10

Op 2: Rs. 903.33

Op 3: Rs. 928.30

Op 4: Rs. 940.50

Op 5:

Correct Op : 1

Ques. The population of a village decreases at the rate of 20% per annum. If its population 2

years ago

was 10000, what is its present population?

Op 1: 6000

Op 2: 10000/144

Op 3: 6400

Op 4: 7600

Op 5:

Correct Op : 3

Ques. A certain sum of money at simple interest becomes Rs. 1062 in 2 years and Rs. 1183.50

in 31⁄2

years. What is rate of interest per annum?

Op 1: 7%

Op 2: 6%

Op 3: 9%

Op 4: 5%

Op 5:

Correct Op : 3

Ques. If the simple interest on a sum at 4% per annum for 2 years is Rs. 80, then the compound

interest

on the same sum for the same period is:

Op 1: Rs. 86.80

Op 2: Rs. 86.10

Op 3: Rs. 88.65

Op 4: Rs. 81.60

Op 5:

Correct Op : 4

Ques. A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours

a day and

walks with speed 11⁄2 times of the previous in how many days will he cover 750 km?

Op 1: 30

Op 2: 31.25

Op 3: 31

Op 4: 33

Op 5:

Correct Op : 2

Ques. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At

what

price per dozen should he sell them to make a profit of 20% ?

Op 1: Rs 4

Op 2: Rs 5

Op 3: Rs 6

Op 4: Rs 7

Op 5:

Correct Op : 3

Ques. Padam purchased 30 kg of rice at the rate of 17.50 per kg and another 30 kg rice at a

certain rate.

He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20%

overall

profit. At what price per kg did he purchase the lot

Op 1: Rs.12.50

Op 2: Rs. 13.50

Op 3: Rs. 14.50

Op 4: Rs. 15.50

Op 5: None of these

Correct Op : 2

Ques. The manufacturer of a certain item can sell all he can produce at the selling price of Rs. 60

each. It

costs him Rs. 40 in materials and labour to produce each item and he has overhead expenses of

Rs. 3000

per week in order to operate the plant. The numb

Op 1: 200

Op 2: 250

Op 3: 300

Op 4: 400

Op 5:

Correct Op : 1

Ques. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225

for it, the

cost price of the bicycle for A is:

Op 1: Rs. 110

Op 2: Rs.120

Op 3: Rs. 125

Op 4: Rs. 150

Op 5:

Correct Op : 4

Ques. If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost

of the

article is:

Op 1: Rs. 50

Op 2: Rs. 160

Op 3: Rs. 200

Op 4: Rs. 225

Op 5:

Correct Op : 3

Ques. Consider the following statements : If a sum of money is lent at simple interest, then the

Money gets doubled in 5 years if the rate of interest is 50/3 %. Money gets doubled in 5 years if the rate of interest is 20%. Money becomes

Op 1: 1 and 3 are correct

Op 2: 2 alone is correct

Op 3: 3 alone is correct

Op 4: 2 and 3 are correct

Op 5:

Correct Op : 2

Ques. The difference between simple interest and compound interest on Rs.1200 for one year at

10%

per annum reckoned half-yearly is:

Op 1: Rs. 2.50

Op 2: Rs. 3

Op 3: Rs. 3.75

Op 4: Rs. 4

Op 5: None of these

Correct Op : 2

Ques. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.

482

more, if the interest was payable half-yearly than if it was payable annually. The sum is:

Op 1: Rs. 10,000

Op 2: Rs. 20,000

Op 3: Rs. 40,000

Op 4: Rs. 50,000

Op 5:

Correct Op : 2

Ques. The simple interest on Rs. 10 for 4 months at the rate of 3 paise per rupee per month is:

Op 1: Rs. 1.20

Op 2: Rs. 1.60

Op 3: Rs. 2.40

Op 4: Rs. 3.60

Op 5:

Correct Op : 1

Ques. If the compound interest on a sum for 2 years at 25/2 % per annum is Rs. 510, the simple

interest

on the same sum at the same rate for the same period of time is:

Op 1: Rs. 400

Op 2: Rs. 450

Op 3: Rs. 460

Op 4: Rs. 480

Op 5:

Correct Op : 4

Ques. I started on my bicycle at 7 a.m. to reach a certain place. After going a certain distance,

my bicycle

went out of order. Consequently, I rested for 35 minutes and came back to my house walking all

the

way. I reached my house at 1 p.m. If my cycling s

Op 1: 4.92 km

Op 2: 13.44 km

Op 3: 14.375 km

Op 4: 15.476 km

Op 5:

Correct Op : 1

Ques. A bag contains 10-paisa, 20-paisa and 25-paisa coins in the ratio 7:4:3. If the total value is

Rs. 90,

the number of 25-paisa coins in the bag is:

Op 1: 120

Op 2: 160

Op 3: 280

Op 4: 300

Op 5:

Correct Op : 1

Ques. In approximately how many years will a certain sum of money triple itself at 22% simple

interest?

Op 1: 10 years

Op 2: 11 years

Op 3: 9 years

Op 4: 12 years

Op 5:

Correct Op : 3

Ques. Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by

him to

cover that distance is:

Op 1: 1 hour

Op 2: 1 hr 12min

Op 3: 1 hr 15 min

Op 4: 1 hr 20 min

Op 5:

Correct Op : 2

Ques. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it

takes 4

hours to cover the same distance running downstream. What is the ratio between the speed of

the boat

and speed of the water current respectively ?

Op 1: 2 : 1

Op 2: 3 : 2

Op 3: 8 : 3

Op 4: Cannot be determined

Op 5: None of these

Correct Op : 3

Ques. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can

beat C by:

Op 1: 21 m

Op 2: 26 m

Op 3: 28 m

Op 4: 29 m

Op 5:

Correct Op : 3

Ques. In a family, the father took 1/5 of the cake and he had 4 times as much as others had, then

the

family members are:

Op 1: 16

Op 2: 17

Op 3: 18

Op 4: None of these

Op 5:

Correct Op : 2

Ques. The price of sugar is increased by 25%. In order not to increase the expenditure a lady

must

reduce her consumption by:

Op 1: 25%

Op 2: 20%

Op 3: 30%

Op 4: None of these

Op 5:

Correct Op : 2

Ques. I read 3/8 of a book on one day, and 4/5 of the remainder on another day. If now there

were 30

pages unread, the book contains:

Op 1: 240 pages

Op 2: 230 pages

Op 3: 340 pages

Op 4: 140 pages

Op 5: None of these

Correct Op : 1

Ques. A car is 250 metres behind the bus. The car and bus are moving with speed 60 km/hr and

35

km/hr respectively. The car will be ahead of bus by 250 metres in:

Op 1: 37 seconds

Op 2: 48 seconds

Op 3: 72 seconds

Op 4: 68 seconds

Op 5: None of these

Correct Op : 3

Ques. Mohan walks a certain distance and rides back in 6 hours and 15 minutes. If he walks both

ways he takes 7 hours and 45 minutes. If Mohan rides both ways the time which he will take will be:

Op 1: 4 hours

Op 2: 19/4 hours

Op 3: 9/2 hours

Op 4: 17/4 hours

Op 5: None of these

Correct Op : 2

Ques. A train leaves Delhi at 6.00 a.m. and reaches Agra at 10.00 a.m. Another train leaves Agra

at 8.00 a.m. and reaches Delhi at 11.30 a.m. At what time do the two trains cross each other if the

distance

between Delhi and Agra is 200 km?

Op 1: 8.45 a.m.

Op 2: 8.56 a.m.

Op 3: 9.20 a.m.

Op 4: 9.56 a.m.

Op 5:

Correct Op : 2

Ques. A ship is moving at a speed of 30 kmph. To know the depth of the ocean beneath it, it

sends a radiowave which travels at a speed 200 m/s. The ship receives back the signal after it has moved

500 m.

What is the depth of the ocean?

Op 1: 4 km

Op 2: 8 km

Op 3: 6 km

Op 4: 12 km

Op 5:

Correct Op : 3

Ques. A man rows a boat at a speed of 5 km/hr in still water. Find the speed of a river if it takes

him 1 hr

to row a boat to a place 2.4 km away and return back.

Op 1: 1 km/hr

Op 2: 6 km/hr

Op 3: 3 km/hr

Op 4: 4 km/hr

Op 5:

Correct Op : 1

Ques. A boat covers 40 km upstream and 90 km downstream in 5 hr. It can also cover 60 km

upstream

and 60 km downstream in 5 hr. The speed of the water current is

Op 1: 4 km/hr

Op 2: 5 km/hr

Op 3: 20 km/hr

Op 4: 25 km/hr

Op 5:

Correct Op : 2

Ques. Two champion swimmers start a two-length swimming race at the same time, but from

opposite ends of the pool. They swim at constant but different speeds. They first pass at a point 18.5 m

from the

deep end. Having completed one length, each swimmer take

Op 1: 90 m

Op 2: 45 m

Op 3: 26.5m

Op 4: Data insufficient

Op 5:

Correct Op : 2

Ques. A and B start together from the same point on a circular track and walk in the same

direction till they both again arrive together at the starting point. A completes one circle in 224 s and B in 364s. How many times will A have passed B?

Op 1: 4

Op 2: 5

Op 3: 6

Op 4: 7

Op 5:

Correct Op : 2

Ques. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete

the same work ?

Op 1: 12

Op 2: 18

Op 3: 22

Op 4: 24

Op 5: None of these

Correct Op : 4

Ques. A locomotive engine, without any wagons

attached to it, can go at a speed of 40 km/hr. Its speed is diminished by a quantity that varies

proportionally as the square root of the number of wagons attached. With 16 wagons, its speed is

28

km/hr. The

Op 1: 99

Op 2: 100

Op 3: 101

Op 4: 120

Op 5:

Correct Op : 2

Ques. Population of a village is eight thousand. If 6% men and 10% women are added,

population

becomes 8,600, then the number of men in the village was:

Op 1: 4800

Op 2: 5000

Op 3: 5060

Op 4: 6000

Op 5:

Correct Op : 2

Ques. If 15 oxen or 20 cows can eat the grass of a field in 80 days, then in how many days will 6 oxen

and 2 cows eat the same grass?

Op 1: 40

Op 2: 60

Op 3: 100

Op 4: 160

Op 5:

Correct Op : 4

Ques. At a certain party the ratio of gents and ladies was 1 : 2. But when 2 gents and 2 ladies left

the

party, the ratio became 1 : 3. How many people were initially present in the party?

Op 1: 12

Op 2: 15

Op 3: 18

Op 4: 24

Op 5:

Correct Op : 1

Ques. How many litres of a 90% solution of concentrated acid needs to be mixed with a 75%

solution of

concentrated acid to get a 30 L solution of 78% concentrated acid?

Op 1: 24 L

Op 2: 22.5 L

Op 3: 6 L

Op 4: 17.5 L

Op 5:

Correct Op : 3

Ques. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio

1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

Op 1: Rs. 169.50

Op 2: Rs. 170

Op 3: Rs. 175.50

Op 4: Rs. 180

Op 5:

Correct Op : 3

Ques. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture

are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was

contained by the can initially ?

Op 1: 10

Op 2: 20

Op 3: 21

Op 4: 25

Op 5:

Correct Op : 3

Ques. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30

persons,

working 6 hours a day, complete the work ?

Op 1: 10

Op 2: 13

Op 3: 14

Op 4: 15

Op 5:

Correct Op : 2

Ques. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?

Op 1: 1

Op 2: 7/2

Op 3: 7

Op 4: 49

Op 5:

Correct Op : 3

Ques. Some persons can do a piece of work in 12 days. Two times the number of such persons

will do

half of that work in:

Op 1: 6 days

Op 2: 4 days

Op 3: 3 days

Op 4: 12 days

Op 5:

Correct Op : 3

Ques. Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages

on a

computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working

together

on two different computers to type an assignment of 110 pages ?

Op 1: 7 hours 30 minutes

Op 2: 8 hours

Op 3: 8 hours 15 minutes

Op 4: 8 hours 25 minutes

Op 5:

Correct Op : 3

Ques. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C

work

together, they will complete the work in:

Op 1: 5 days

Op 2: 47/6 days

Op 3: 10 days

Op 4: 47/3 days

Op 5:

Correct Op : 3

Ques. A and B can do a job together in 7 days. A is 7/4 times as efficient as B. The same job can

be done

by A alone in:

Op 1: 28/3 days

Op 2: 11 days

Op 3: 49/4 days

Op 4: 49/3 days

Op 5:

Correct Op : 2

Ques. A and B can complete a work in 15 days and 10 days respectively. They started doing the

work

together but after 2 days B had to leave and A alone completed the remaining work. The whole

work

was completed in:

Op 1: 8 days

Op 2: 10 days

Op 3: 12 days

Op 4: 15 days

Op 5:

Correct Op : 3

Ques. A, B and C together can complete a piece of work in 10 days. All the three started working

at it

together and after 4 days A left. Then B and C together completed the work in 10 more days. A

alone

could complete the work in:

Op 1: 15 days

Op 2: 16 days

Op 3: 25 days

Op 4: 50 days

Op 5:

Correct Op : 3

Ques. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can

fill the

tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

Op 1: 81 min

Op 2: 108 min

Op 3: 144 min

Op 4: 192 min

Op 5:

Correct Op : 3

Ques. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes

respectively. How

many minutes will it take to fill the tanker from empty state if B is used for half the time and A and

B fill

it together for the other half ?

Op 1: 15 min

Op 2: 20 min

Op 3: 27.5 min

Op 4: 30 min

Op 5:

Correct Op : 4

Ques. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all

the time

and B and C are open for one hour each alternately, the tank will be full in:

Op 1: 6 hrs.

Op 2: 20/3 hrs

Op 3: 7 hrs

Op 4: 15/2 hrs

Op 5:

Correct Op : 3

Ques. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3

gallons

per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of

the tank

is:

Op 1: 60 gallons

Op 2: 100 gallons

Op 3: 120 gallons

Op 4: 180 gallons

Op 5:

Correct Op : 3

Ques. Ram and Shyam together do a work in 8 days. Both of them began to work. After 3 days

Ram fell

ill. Shyam completed the remaining work in 15 days. In how many days can Ram complete the

whole

work?

Op 1: 12

Op 2: 17

Op 3: 16

Op 4: 15

Op 5:

Correct Op : 1

Ques. Two workers A and B were employed for a work. A takes 8 hour more than the time taken

by A

and B together. If B takes 4.5 hours more than the time taken by A and B together, how long

would A

and B take together to complete the work?

Op 1: 7 hours

Op 2: 6 hours

Op 3: 5 hours

Op 4: 4 hours

Op 5:

Correct Op : 2

Ques. If 5 persons can do 5 times of a work in 5 days, then 10 persons can do 10 times of that

work in:

Op 1: 10 days

Op 2: 8 days

Op 3: 5 days

Op 4: 2 days

Op 5:

Correct Op : 3

Ques. Two taps can fill a cistern in 6 min. and 7 min. respectively. If these taps are opened

alternatively

for a minute, in what time will the cistern be filled?

Op 1: 5.67 min

Op 2: 6.25 min

Op 3: 5 min

Op 4: 45/7 min

Op 5:

Correct Op : 4

Ques. Two taps A and B can fill a cistern in 28 min. and 42 min. respectively. Third tap C can

empty it in

42 min. If all the three taps are opened, the time taken to fill the cistern is:

Op 1: 30 min

Op 2: 35 min

Op 3: 28 min

Op 4: 42 min

Op 5:

Correct Op : 3

Ques. 49 pumps can empty a reservoir in 61⁄2 days, working 8 hours a day. If 196 pumps are

used for 5

hours a day, then the same work will be completed in:

Op 1: 2.6 days

Op 2: 3 days

Op 3: 2.5 days

Op 4: 2 days

Op 5:

Correct Op : 1

Ques. 16 men complete one-fourth of a piece of work in 12 days. What is the additional number

of men

required to complete the work in 12 more days ?

Op 1: 48

Op 2: 36

Op 3: 30

Op 4: 16

Op 5:

Correct Op : 4

Ques. A takes thrice as long to do a piece of work, as B takes. A and B together can do a piece

of work in

7.5 days. A alone can do in:

Op 1: 30 days

Op 2: 40 days

Op 3: 50 days

Op 4: 60 days

Op 5: None of these

Correct Op : 1

Ques. If 33 untrained labourers can do a work in 15 days of 12 hr. each, how many trained

labourers can

do 50% more work in 11 days of 9 hr each ? (It may be assumed that it takes 2 trained labourers

to do

the work of 5 untrained labourers)

Op 1: 42

Op 2: 36

Op 3: 90

Op 4: 100

Op 5:

Correct Op : 2

Ques. If logx (0.1) = -1/3, then the value of x is:

Op 1: 10

Op 2: 100

Op 3: 1000

Op 4: 1/1000

Op 5:

Correct Op : 3

Ques. If ax = by, then:

Op 1: log(a/b) = x/y

Op 2: log(a) / log(b) = x/y

Op 3: log(a) / log(b) = y/x

Op 4: None of these

Op 5:

Correct Op : 3

Ques. If log8 x + log8 (1/6) = 1/3 then the value of x is:

Op 1: 12

Op 2: 16

Op 3: 18

Op 4: 24

Op 5:

Correct Op : 1

Ques. If log x + log y = log (x + y), then:

Op 1: x = y

Op 2: xy=1

Op 3: y = (x-1)/x

Op 4: y = x/(x-1)

Op 5:

Correct Op : 4

Ques. If log10 7 = a, then log10(1/70) is equal to:

Op 1: -(1 + a)

Op 2: (1 + a)-1

Op 3: a/10

Op 4: 1/10a

Op 5:

Correct Op : 1

Ques. If log{(a+b)/3} = 0.5(log a + log b), then the correct relation between a and b is:

Op 1: a2+b2 = 7ab

Op 2: a2-b2 = 7ab

Op 3: (a+b)2 = 2

Op 4: (a+b)/3 = (1/2)(a+b)

Op 5: None of these

Correct Op : 1

Ques. If log x = log 3 + 2 log 2- (3/4) log 16. The value of x is:

Op 1: 1/2

Op 2: 1

Op 3: 3/2

Op 4: 2

Op 5: None of these

Correct Op : 3

Ques. If log x =(1/2) log y = (1/5) log z, the value of x4y3z-2 is:

Op 1: 0

Op 2: 1

Op 3: 2

Op 4: 3

Op 5: None of these

Correct Op : 2

Ques. If log10000 x = -1/4, then x is given by:

Op 1: 1/100

Op 2: 1/10

Op 3: 1/20

Op 4: none of these

Op 5:

Correct Op : 2

Ques. The value of 3-1/2 log3(9) is:

Op 1: 3

Op 2: 1/3

Op 3: 2/3

Op 4: none of these

Op 5:

Correct Op : 2

Ques. loge xy – loge |x| equals to:

Op 1: loge x

Op 2: loge |x|

Op 3: – loge x

Op 4: none of these

Op 5:

Correct Op : 4

Ques. The value of (loga n) / (logab n) is given by:

Op 1: 1 + loga b

Op 2: 1 + logb a

Op 3: loga b

Op 4: logb a

Op 5:

Correct Op : 1

Ques. If (a4 – 2a2b2 + b4)x-1 = (a-b)2x (a+b)-2, then x equals to:

Op 1: (a – b) / (a + b)

Op 2: log (a2 – b2)

Op 3: log (a + b) / log (a – b)

Op 4: log (a – b) / log (a + b)

Op 5:

Correct Op : 4

Ques. If a, b, and c are in geometric progression then loga n, logb n and logc n are in:

Op 1: AP

Op 2: GP

Op 3: HP

Op 4: None of these

Op 5:

Correct Op : 3

Ques. What is the value of antilog10100?

Op 1: 2

Op 2: 10100

Op 3: 100

Op 4: 10

Op 5:

Correct Op : 2

Ques. If antilog x 5 = 30, what can you infer about x?

Op 1: x is a number between 1 and 2

Op 2: x is 305

Op 3: x is a number between 2 and 3

Op 4: None of these

Op 5:

Correct Op : 1

Ques. Every time x is increased by a given constant number, y doubles and z becomes three

times. How

will log(y) and log(z) behave as x is increased by the same constant number?

Op 1: Both will grow linearly with different slopes

Op 2: Both will grow linearly with same slopes

Op 3: y will grow linearly, while z will not

Op 4: z will grow linearly, while y will not

Op 5:

Correct Op : 1

Ques. x triples every second. How will log2x change every second?

Op 1: It will double every second

Op 2: It will triple every second

Op 3: It increases by a constant amount every second.

Op 4: None of these

Op 5:

Correct Op : 3

Ques. f(x) grows exponentially with x, how will f(log(x)) grow?

Op 1: Exponentially

Op 2: Linearly

Op 3: Quadratically

Op 4: None of these

Op 5:

Correct Op : 2

Ques. What is the value of log512 8?

Op 1: 3

Op 2: 1/3

Op 3: -3

Op 4: -1/3

Op 5:

Correct Op : 2

Ques. What is the value of log7 (1/49)?

Op 1: 2

Op 2: 1/2

Op 3: -1/2

Op 4: -2

Op 5:

Correct Op : 4

Ques. Given that log64 x = 2/6, what is the value of x?

Op 1: 2

Op 2: 4

Op 3: 6

Op 4: 8

Op 5:

Correct Op : 2

Ques. If 7x = 85, what is the value of x?

Op 1: log785

Op 2: log857

Op 3: log107

Op 4: log1085

Op 5:

Correct Op : 1

Ques. If log102 = 0.3010, what is the number of digits in 264

Op 1: 19

Op 2: 20

Op 3: 18

Op 4: None of these

Op 5:

Correct Op : 2

Ques. What is log110?

Op 1: 1

Op 2: 10

Op 3: 0

Op 4: Tends to infinity

Op 5:

Correct Op : 4

Ques. What is log100 ?

Op 1: 0

Op 2: 10

Op 3: 1

Op 4: Not defined

Op 5:

Correct Op : 4

Ques. What is the value of log3 (-9)?

Op 1: 3

Op 2: 1/3

Op 3: -3

Op 4: Not defined

Op 5:

Correct Op : 4

Ques. The logarithm of a very small positive number will tend to which of the following?

Op 1: 0

Op 2: negative infinity

Op 3: positive infinity

Op 4: 1

Op 5:

Correct Op : 2

Ques. If n numbers are in geometric progression, the logarithm of the number will be in which of

the

following?

Op 1: Geometric Progression

Op 2: Arithmetic Progression

Op 3: Harmonic Progression

Op 4: None of these

Op 5:

Correct Op : 2

Ques. Which of the following is equivalent to log(a + b) ?

Op 1: log a + log b

Op 2: log a * log b

Op 3: log a – log b

Op 4: None of these

Op 5:

Correct Op : 4

Ques. What is the value of log3 (1/9) + log 9 81 ?

Op 1: 2

Op 2: -2

Op 3: 0

Op 4: 4

Op 5:

Correct Op : 3

Ques. What is the value of log3 1.5 + log3 6 ?

Op 1: 2

Op 2: 2.7

Op 3: 1.8

Op 4: None of these

Op 5:

Correct Op : 1

Ques. Which of the following is log8 x equivalent to?

Op 1: log2 (x/3)

Op 2: log2 (3x)

Op 3: (log2x)/ 3

Op 4: None of these

Op 5:

Correct Op : 3

Ques. If n numbers are in arithmetic progression, the logarithm of the number will be in which of

the

following?

Op 1: Exponentially

Op 2: Linearly

Op 3: Quadratically

Op 4: None of these

Op 5:

Correct Op : 4

Ques. What is the value of log20 1 ?

Op 1: 0

Op 2: 1

Op 3: 20

Op 4: None of these

Op 5:

Correct Op : 1

Ques. In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the

vowels

always come together ?

Op 1: 120

Op 2: 720

Op 3: 4320

Op 4: 2160

Op 5: None of these

Correct Op : 2

Ques. In how many different ways can the letters of the word ‘CORPORATION’ be arranged so

that the

vowels always come together ?

Op 1: 810

Op 2: 1440

Op 3: 2880

Op 4: 50400

Op 5: 5760

Correct Op : 4

Ques. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are

divisible by

5 and none of the digits is repeated ?

Op 1: 5

Op 2: 10

Op 3: 15

Op 4: 20

Op 5:

Correct Op : 4

Ques. A committee is to be formed comprising 7 members such that there is a simple majority of

men

and at least 1 women. The shortlist consists of 9 men and 6 women. In how many ways can this

be

done?

Op 1: 3,724

Op 2: 3,630

Op 3: 4,914

Op 4: 5,670

Op 5:

Correct Op : 3

Ques. From a pack of 52 playing cards, 4 cards are removed at random. In how many ways can

the 1st

place and 3rd place cards be drawn out such that both are black ?

Op 1: 64,974

Op 2: 62,252

Op 3: 69,447

Op 4: 1,592,500

Op 5:

Correct Op : 4

Ques. In how many ways can the digits 2,3,5,7 and 9 be placed to form a three-digit number so

that the

higher order digit is always greater than the lower order digits? (Assume digits are all different).

Op 1: 8

Op 2: 9

Op 3: 10

Op 4: 15

Op 5:

Correct Op : 3

Ques. In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis

match?

Op 1: 72

Op 2: 108

Op 3: 36

Op 4: 84

Op 5:

Correct Op : 1

Ques. In CAT entrance examination paper there are 3 sections, each containing 5 questions. A

candidate

has to solve 5, choosing at least one from each section. The number of ways he can choose is

Op 1: 2,500

Op 2: 2,250

Op 3: 2,750

Op 4: 3,250

Op 5:

Correct Op : 2

Ques. A boy has 4 different boxes and 5 different marbles. In how many ways can he place the

marbles

in the boxes such that each box has at least one marble ?

Op 1: 560

Op 2: 240

Op 3: 420

Op 4: 36

Op 5:

Correct Op : 2

Ques. A teacher was trying to form the groups of students in such a way that every group has

equal

number of students and that number should be a prime number. She tried for first 5 prime

numbers, but

on each occasion exactly one student was left behind. If t

Op 1: 0

Op 2: 2

Op 3: 3

Op 4: 4

Op 5:

Correct Op : 4

Ques. Ram buys 7 novels from a book fair. Shyam buys 8 novels from the fair, none of which is

common

with those bought by Ram. They decide to exchange their books one for one. In how many ways

can

they exchange their books for the first time ?

Op 1: 7!x8!

Op 2: 7×8!

Op 3: 7!x8

Op 4: 56

Op 5:

Correct Op : 4

Ques. In an examination 10 questions are to be answered choosing at least 4 from each of part

A and

part B. If there are 6 questions in part A and 7 in part B, in how many ways can 10 questions be

answered ?

Op 1: 212

Op 2: 266

Op 3: 272

Op 4: 312

Op 5:

Correct Op : 2

Ques. A box contains 20 tickets of identical appearance, the tickets being numbered 1, 2, 3, …..,In

how many ways can 3 tickets be chosen such that the numbers on the drawn tickets are in

arithmetic

progression ?

Op 1: 18

Op 2: 33

Op 3: 56

Op 4: 90

Op 5:

Correct Op : 4

Ques. A company could advertise about its new product in 4 magazines, 3 newspapers and 2

television

channels. But in a later move it decided to give advertisements in only 2 of the magazines, one of

the

newspapers and one the TV channels. In how many ways can

Op 1: 30

Op 2: 36

Op 3: 44

Op 4: None of these

Op 5:

Correct Op : 2

Ques. In how many ways can the letters of the word ‘ERGONOMICS’ be rearranged such that

the vowels

always appear together?

Op 1: 6! /2!

Op 2: 6!*4!

Op 3: 7! /2!

Op 4: (7! * 4!)/2!

Op 5:

Correct Op : 4