# Mindtree Placement Papers with Solutions for Online Test | Mindtree Previous Year Question

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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

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

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

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

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

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

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

Amcat-Q12: What is the value of 100P2?
A. 9801
B. 12000
C. 5600
D. 9900

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

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

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

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

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

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

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

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

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

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

Amcat-Q23: What is the HCF of 13, 23, and 14?
A. 2/3
B. 1/3
C. 1/4
D. 1/12

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

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

## 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

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

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

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.

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

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

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

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

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.

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

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?

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%

Amcat-Q13: Which of the following numbers is the smallest number?
A: 1/6
B: 1/3
C: 1/4
D: 1/12

Amcat-Q14: if ab,c are GP then loga, logb, logc are in
a) ap
b) GP
c) hp
d) None

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

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

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

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-32x+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 . 15#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
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
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 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 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
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