# AMCAT Sample Questions Quants Solutions 281 – 290

Ques 281 : Choose the correct answer.
What is the highest power of 82 contained in 83!-82! ?
Option 1 : 3
Option 2 : 2
Option 3 : 164
Option 4 : None of these
Ques 282 : Choose the correct answer.
If x = 0.75, then what is the value of the expression (1+x+x2) + x3/(1-x) ?
Option 1 : 0.25
Option 2 : 4
Option 3 : 1.75
Option 4 : 1
Ques 283 : Choose the correct answer.
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?
Option 1 : -4
Option 2 : 4
Option 3 : 32/7
Option 4 : – 28/6
Ques 284 : Choose the correct answer.
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?
Option 1 : 1
Option 2 : 64
Option 3 : 169
Option 4 : 3
Ques 285 : Choose the correct answer.
If |x| + |y| = 7, then what is the sum of minimum and maximum values of x + y?
Option 1 : 3/2
Option 2 : -7
Option 3 : 7
Option 4 : 0
Ques 286 : Choose the correct answer.
832.58-242.31 =779.84- ?
Option 1 : 179.57
Option 2 : 199.57
Option 3 : 295.05
Option 4 : None of these
Ques 287 : Choose the correct answer.
Which is the closest approximation to the product 0.3333 * 0.25 * 0.499 * 0.125 * 24 ?
Option 1 : 1/8
Option 2 : 3/4
Option 3 : 3/8
Option 4 : 2/5
Ques 288 : Choose the correct answer.
The simplification of (0.2 * 0.2 + 0.02 * 0.02 – 0.4 * 0.02) / 0.36
Option 1 : 0.009
Option 2 : 0.09
Option 3 : 0.9
Option 4 : 9
Ques 289 : Choose the correct answer.
If 13 + 23+ 33+ ……….+ 93 = 2025 ,then the value of (0.11)3 + (0.22)3 + ….+ (0.99)3 is close to:
Option 1 : 0.2695
Option 2 : 0.3695
Option 3 : 2.695
Option 4 : 3.695
Ques 290 : Choose the correct answer.
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?
Option 1 : 4/7
Option 2 : 1/2
Option 3 : 2/3
Option 4 : 5/6