HCF & LCM · Basic Numeracy · UPSC Civil Service
MCQ (Single Correct Answer)
1
How many consecutive zeros are there at the end of the integer obtained in the product $1^2 \times 2^4 \times 3^6 \times 4^8 \times \ldots \times 25^{50}$?
UPSC Civil Service Prelims Paper II 2024 (CSAT)
2
421 and 427, when divided by the same number, leave the same remainder 1. How many numbers can be used as the divisor in order to get the same remainder 1?
UPSC Civil Service Prelims Paper II 2024 (CSAT)
3
A can X contains 399 litres of petrol and a can Y contains 532 litres of diesel. They are to be bottled in bottles of equal size so that whole of petrol and diesel would be separately bottled. The bottle capacity in terms of litres is an integer. How many different bottle sizes are possible?
UPSC Civil Service Prelims Paper II 2024 (CSAT)
4
For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by:
UPSC Civil Service Prelims Paper II 2023 (CSAT)
5
How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
6
There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are same. At 2∶00 p.m, they together turn green. At what time will they change to green next, simultaneously?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
7
A person X wants to distribute some pens among six children A, B, C, D, E, and F. Suppose A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
8
What is the smallest number greater than 1000 that when divided by any one of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
9
Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?
UPSC Civil Service Prelims Paper II 2021 (CSAT)