# AMCAT Sample Questions Quants Solutions 271 – 280

Ques 271 : Choose the correct answer.
If a = 16, b=25, the value of 1/(a-1/2 – b-1/2) is:
Option 1 : 10
Option 2 : 15
Option 3 : 20
Option 4 : 25
Option 5 : 30
Ques 272 : Choose the correct answer.
3a2 (ab+bc+ca) =
Option 1 : 3a2+3a2bc+3a3c
Option 2 : 3a3b+3a2bc+3c
Option 3 : 3a3b+3a2bc+3a3c
Option 4 : a3b+abc+a2c
Option 5 : None of these
Ques 273 : Choose the correct answer.
x4y-xy4 =
Option 1 : xy(x-y)(x2 + xy + y2)
Option 2 : xy(x+y)(x2-xy+y4)
Option 3 : x(xy-1)(x2-xy+y)
Option 4 : (x3+y2)xy
Option 5 : None of these
Ques 274 : Choose the correct answer.
Factors of 6a2-25a+4 are:
Option 1 : (a+4) (a-6)
Option 2 : (a-4) (6a+1)
Option 3 : (a-4)(6a-1)
Option 4 : (a-6) (a-4)
Option 5 : None of these
Ques 275 : Choose the correct answer.
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:
Option 1 : m=x+y+z
Option 2 : 2m=a+b+c
Option 3 : m=x-y-z
Option 4 : 2m=x-y-z
Option 5 : None of these
Ques 276 : Choose the correct answer.
If r = at2 and s = 2at, the relation among s, r and a is:
Option 1 : s2=4ar
Option 2 : s=ar
Option 3 : s=2ar
Option 4 : s2=ar
Option 5 : None of these
Ques 277 : Choose the correct answer.
If a+b=6, ab=5, the value of a-b is:
Option 1 : 4
Option 2 : 5
Option 3 : 6
Option 4 : 7
Option 5 : 9
Ques 278 : Choose the correct answer.
|X – 5| + 4 > 0 and |X2| < 4. Then x can be:
Option 1 : 4
Option 2 : 2
Option 3 : 0.5
Option 4 : All of these
Ques 279 : Choose the correct answer.
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)?
Option 1 : 1000
Option 2 : 784
Option 3 : 999
Option 4 : 1001
Ques 280 : Choose the correct answer.
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 ?
Option 1 : 2
Option 2 : 4
Option 3 : 3
Option 4 : None of these