# AMCAT Sample Questions Quants Solutions 261 - 270

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 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:
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 6x2-5x+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