# AMCAT Sample Questions Quants Solutions 291 - 300

Ques 291 : Choose the correct answer.
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
Option 1 : 46/100
Option 2 : 63/100
Option 3 : 74/100
Option 4 : 99/100

Ques 292 : Choose the correct answer.
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
Option 1 : 3/25
Option 2 : 1/6
Option 3 : 4/25
Option 4 : 81/400

Ques 293 : Choose the correct answer.
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 ?
Option 1 : 5/24
Option 2 : 9/160
Option 3 : 1/30
Option 4 : 7/160

Ques 294 : Choose the correct answer.
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
Option 1 : 3/14
Option 2 : 4/17
Option 3 : 1/5
Option 4 : 5/24

Ques 295 : Choose the correct answer.
Which among the following is greatest: 51/2, 111/3, 1231/6 ?
Option 1 : 51/2
Option 2 : 111/3
Option 3 : 1231/6
Option 4 : All are equal

Ques 296 : Choose the correct answer.
What are the unit’s digits of 369, 6864, 4725 respectively ?
Option 1 : 9,6 and 6
Option 2 : 6, 6 and 6
Option 3 : 3,6 and 4
Option 4 : None of these

Ques 297 : Choose the correct answer.
A = 11 * 22 * 33 * 44 * 55 * ……..1010. How many zeroes will be there at the end of A ?
Option 1 : 6
Option 2 : 15
Option 3 : 10
Option 4 : None of these

Ques 298 : Choose the correct answer.
If x = 3 + 31/2, then what is the value of x2 + 9/x2 ?
Option 1 : 15 + 3 * 31/2
Option 2 : 18 + 3 * 31/2
Option 3 : 27 + 3 * 31/2
Option 4 : None of these

Ques 299 : Choose the correct answer.
If x4 + 1/x4 = 47, then find the value of x3 + 1/x3
Option 1 : 18
Option 2 : 27
Option 3 : 9
Option 4 : 12

Ques 300 : Choose the correct answer.
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Option 1 : 1
Option 2 : 2
Option 3 : 3
Option 4 : 4