Aptitude Interview Questions and Answers Pdf - 10
Question: 6
The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
(A) 1008
(B) 1015
(C) 1022
(D) 1032
Ans: B
Required number = (L.C.M. of 12, 16, 18, 21, 28) + 7
= 1008 + 7 = 1015.
Question: 7
Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?
(A) 2 minutes 20 seconds
(B) 2 minutes 24 seconds
(C) 3 minutes 36 seconds
(D) 4 minutes 12 seconds
Ans: B
L.C.M. of 24, 36, 48 = 144.
So, the three girls will meet at one point in 144 seconds i.e., 2 min 24 sec.
Question: 8
What is the greatest number which divides 852, 1065 and 1491 exactly?
(A) 183
(B) 193
(C) 213
(D) 223
Ans: C
H.C.F. of 852 and 1065 is 213.
H.C.F. of 213 and 1491 is 213.
Question: 9
The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds, respectively. If they all change simultaneously at 8:20:00 hours; then they will again change simultaneously at
(A) 8:27:48 hours
(B) 8:27:36 hours
(C) 8:27: 24 hours
(D) 8:27:12 hours
Ans: D
Interval of change = (L.C.M. of 48, 72, 108) seconds = 432.
So, the lights will change after every 432 seconds, i.e. 7 minutes and 12 seconds.
So, the next simultaneous change will take place at 8:27:12 hours.
Question: 10
Find the least number which when divided by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders, respectively, but when divided by 7 leaves no remainder.
(A) 119
(B) 126
(C) 154
(D) 210
Ans: A
L.C.M. of 2, 3, 4, 5, 6, is 60.
One of the numbers satisfying the first condition is 60 -1 = 59.
60 + 59 = 119, etc.
But 119 is also divisible by 7.
Comments
Post a Comment