number system Model Questions & Answers, Practice Test for ibps clerk prelims
The difference between a number and one fifth of it is 84. What is the number?
Answer: (a)
Three girls start jogging from the same point around a circular track and they complete one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?
Answer: (a)
Required time
= L.C.M of 24, 36 and 48
= 144 seconds
= 2 minutes 24 seconds
Each person's performance compared with all other persons is to be done to rank them subjectively. How many comparisons are needed in total, if there are 11 persons ?
Answer: (c)
lst person is to be compared with the other 10 persons i.e 10 comparison.
2nd person is to be compared with the remaining 9 persons
and so on.
Hence, total no. of comparison
= 10 + 9 + ...... + 1
= ${10(10 + 1)}/2 = 55$
Find the remainder when $6^{6^{6^{6^{6…66}}}}$ (100 times) when divided by 10?
Answer: (c)
$6^n$ (where n is a natural number) will always leaves the remainder 6 when divide by 10.
The product of two consecutive odd numbers is 19043. Which is the smaller number?
Answer: (c)
Out of the given alternatives,
137 × 139 = 19043
∴ Required smaller number = 137
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