# AMCAT Quants Questions with Answers – 9

### AMCAT Quantitative Aptitude Previous Years Question answers with Solutions 9

Ques 241 : Choose the correct answer.
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)
Option 1 : 42
Option 2 : 36
Option 3 : 90
Option 4 : 100
Ques 242 : Choose the correct answer.
Which of the following fractions is less than 7/8 and greater than 1/3 ?
Option 1 : 1/4
Option 2 : 23/24
Option 3 : 11/12
Option 4 : 11/24
Ques 243 : Choose the correct answer.
892.7 – 573.07 – 95.007 = ?
Option 1 : 224.623
Option 2 : 224.777
Option 3 : 233.523
Option 4 : 414.637
Ques 244 : Choose the correct answer.
Which is the closest approximation to the product 0.3333 x 0.25 x 0.499 x 0.125 x 24 ?
Option 1 : 1/8
Option 2 : 3/4
Option 3 : 3/8
Option 4 : 2/5
Ques 245 : Choose the correct answer.
Find the value of X :
0.009/X = 0.01
Option 1 : 0.0009
Option 2 : 0.09
Option 3 : 0.9
Option 4 : 9
Ques 246 : Choose the correct answer.
The least among the following is:
Option 1 : 0.2
Option 2 : 1/0.2
Option 3 : 0.22222222
Option 4 : (0.2)2
Ques 247 : Choose the correct answer.
In the following expression, there are two missing digits: * and #. Find the value of *.
1*5#4 / 148 = 78
Option 1 : 1
Option 2 : 4
Option 3 : 6
Option 4 : 8
Option 5 : None of these
Ques 248 : Choose the correct answer.
What is the value of (-5)(4)(2)(-1/2)(3/4) ?
Option 1 : -30
Option 2 : -15
Option 3 : 15
Option 4 : 30
Ques 249 : Choose the correct answer.
If x * y = x2 + y2 – xy, then the value of 9 * 11 is:
Option 1 : 93
Option 2 : 103
Option 3 : 113
Option 4 : 121
Ques 250 : Choose the correct answer.
If a = 0.1039, then the value of (4a2 – 4a + 1)1/2 + 3a is:
Option 1 : 0.1039
Option 2 : 0.2078
Option 3 : 1.1039
Option 4 : 2.1039
Ques 251 : Choose the correct answer.
If a, b, c, d, e are five consecutive odd numbers, their average is:
Option 1 : 5 (a + 4)
Option 2 : (abcde/5)
Option 3 : 5 (a + b + c + d + e)
Option 4 : None of these
Ques 252 : Choose the correct answer.
(x % of 932) + 30 = 309.6
Find x.
Option 1 : 25
Option 2 : 30
Option 3 : 35
Option 4 : 40
Ques 253 : Choose the correct answer.
Which of the following multipliers will cause a number to be increased by 29.7% ?
Option 1 : 1.297
Option 2 : 12.97
Option 3 : 129.7
Option 4 : 1297
Ques 254 : Choose the correct answer.
If 2A = 3B and 4B = 5C, then A: C is:
Option 1 : 4 : 3
Option 2 : 8 : 15
Option 3 : 15 : 8
Option 4 : 3 : 4
Ques 255 : Choose the correct answer.
0.4777 . . . is the recurring decimal for the fraction:
Option 1 : 4777/100000
Option 2 : 477/100
Option 3 : 437/1000
Option 4 : 43/90
Ques 256 : Choose the correct answer.
0.8888 ÷ 0.011 is equal to:
Option 1 : 8.08
Option 2 : 80.8
Option 3 : 0.808
Option 4 : None of these
Ques 257 : Choose the correct answer.
The ascending order of rational numbers -7/10, 5/-8, 2/-3 is:
Option 1 : -7/10, 2/-3, 5/-8
Option 2 : -7/10, 5/-8, 2/-3
Option 3 : 5/-8, -7/10, 2/-3
Option 4 : 2/-3, 5/-8, -7/10
Ques 258 : Choose the correct answer.
If A is real and 1 + A + A2 + A3 = 40, then A is equal to:
Option 1 : -3
Option 2 : -1
Option 3 : 1
Option 4 : 3
Ques 259 : Choose the correct answer.
(1 + 3 + 5 + … + 3983) / 1992 = ?
Option 1 : 1988
Option 2 : 1992
Option 3 : 1990
Option 4 : None of these
Ques 260 : Choose the correct answer.
Which one of the following should be added to 25p2 + 16q2, so that the resulting sum becomes a perfect square?
Option 1 : 20pq
Option 2 : 30pq
Option 3 : 40pq
Option 4 : 50p2q2
Ques 261 : Choose the correct answer.
(1.0816) 1/2= ?
Option 1 : 0.14
Option 2 : 1.4
Option 3 : 1.004
Option 4 : 1.04
Ques 262 : Choose the correct answer.
If the digit in the units place of a square natural number is 6, then the digit in the tens place will be:
Option 1 : 1
Option 2 : 3
Option 3 : Even
Option 4 : Odd
Ques 263 : Choose the correct answer.
(a+b)3-(a-b)3 can be factorized as:
Option 1 : 2b(3a2+b2)
Option 2 : 2a(3a2+b2)
Option 3 : 2b(3b2+a2)
Option 4 : 2a(a2+3b2)
Ques 264 : Choose the correct answer.
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:
Option 1 : 0, 7/4
Option 2 : -7/4, 0
Option 3 : Same
Option 4 : 7/4, 0
Ques 265 : Choose the correct answer.
The equations 2x+3y-7=0 and 10x+15y-35=0 are:
Option 1 : Consistent and have unique solution
Option 2 : Consistent and have infinitely many solutions
Option 3 : inconsistent
Option 4 : none of these
Ques 266 : Choose the correct answer.
The solution of the simultaneous equations (1/2)x + (1/3)y = 2 and x+y=1 is:
Option 1 : x = 0, y = 1
Option 2 : x = 1, y = 0
Option 3 : x = 2/3, y = 3/2
Option 4 : x = 10, y = -9
Ques 267 : Choose the correct answer.
If the equation x2-2(k+1)x+(9/2)k=0 has two identical roots then the values of k are:
Option 1 : k=1, 2
Option 2 : k=2 or 1/2
Option 3 : k=3, 1/2
Option 4 : none of these
Ques 268 : Choose the correct answer.
The number which should be subtracted from 5a2-3ab+7b2 to make it equal to a2+ab+b2, is:
Option 1 : 4a2-4ab+6b2
Option 2 : 4a2-4ab+5b2
Option 3 : 4a2+4ab+6b2
Option 4 : 4a2-3ab+6b2
Option 5 : None of these
Ques 269 : Choose the correct answer.
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-3y-5z is:
Option 1 : 0
Option 2 : -q
Option 3 : 2
Option 4 : None of these
Ques 270 : Choose the correct answer.
The roots of the quadratic equation 6×2-5x+1=0 are:
Option 1 : 2,3
Option 2 : 1/2,1/3
Option 3 : 3,4
Option 4 : 1/3,1/4
Option 5 : None of these