AMCAT Questions Quants Past year Papers 7

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AMCAT Quants All Questions List




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. A cistern can be filled by two pipes A and B in 10 and 15 hours respectively and is then emptied by a tap in 8 hours. If all the taps are opened, the cistern will be fill in:
Op 1: 21 hours
Op 2: 22 hours
Op 3: 23 hours
Op 4: 24 hours
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. 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. 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 9x2+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 of2x-3y-5z 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 6x2-5x+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 1x3-4x2+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. A, B and C are three students who attend the same tutorial classes. If the probability that on a particular day exactly one out of A and B attends the class is 7/10; exactly one out of B and C attends is 4/10; exactly one out of C and A attends is 7/10. I
Op 1: 46/100
Op 2: 63/100
Op 3: 74/100
Op 4: 99/100
Op 5:
Correct Op : 4
Ques. A box contains 10 balls numbered 1 through 10. Anuj, Anisha and Amit pick a ball each, one after the other, each time replacing the ball. What is the probability that Anuj picks a ball numbered less than that picked by Anisha, who in turn picks a lesser n
Op 1: 3/25
Op 2: 1/6
Op 3: 4/25
Op 4: 81/400
Op 5:
Correct Op : 1
Ques. A biased die has a probability of 1/4 of showing a 5, while the probability of any of 1, 2, 3, 4, or 6 turning up is the same . If three such dice are rolled, what is the probability of getting a sum of atleast 14 without getting a 6 on any die ?
Op 1: 5/24
Op 2: 9/160
Op 3: 1/30
Op 4: 7/160
Op 5:
Correct Op : 4
Ques. 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
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. The product of 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
Op 5:
Correct Op : 2

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