Posted inUPSC CSAT
What is the remainder when 91×92×93×94×95×96×97×98×99 is divided by 1261 ?
(UPSC CSAT - 2022) 3 2 1 0 Solution: (d) Prime Factorization of the…
Posted inUPSC CSAT
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 CSAT - 2022) a) 1063 b) 1073 c) 1083 d) 1183 Solution: Ans.(c)…
Posted inUPSC CSAT
Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If p×q = 2430, then what is the difference between p and q ?
(UPS CSAT 2022) a) 45 b) 27 c) 18 d) 9 Solution: Ans.(d) p ×…
Posted inUPSC CSAT
Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number :
p×q can be an odd number. q÷p can be a prime number. p+q can be…
Posted inUPSC CSAT
If 15 × 14 × 13 ×…………× 3 × 2 × 1 = 3^m × n, where m and n are positive integers, then what is the maximum value of m?
(UPSC CSAT - 2022) 7 6 5 4 Solution: Ans.(b) Power of 3 in 15!…
Posted inUPSC CSAT
The sum of three consecutive integers is equal to their product. How many such possibilities are there?
(UPSC CSAT - 2022) Only one Only two Only three No such possibility is there…
Posted inUPSC CSAT
What is the number of numbers of the form 0.XY, where X and Y are distinct nonzero digits?
(UPSC CSAT - 2022) 72 81 90 100 Solution: Ans.(a) X,Y ϵ {1, 2, 3,…
Posted inUPSC CSAT
Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.
Consider the following statements : The 4-digit least value of x is 1332. The 3-digit…
Posted inUPSC CSAT
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 CSAT - 2023) 4:00 p.m. 4:10 p.m. 4:20 p.m. 4:30 p.m. Solution: Ans.(2) Time…
Posted inUPSC CSAT
Let pp, qq and rr be 2-digit numbers where p < q < r. If pp + qq + rr = tt0, where tt0 is a 3-digit number ending with zero, consider the following statements:
1. The number of possible values of p is 5. 2. The number of possible…