QOTD Collection

📅 Question of the Day: June 24

"What is the smallest positive integer that satisfies both 3x ≡ 1 (mod 7) and 5x ≡ 2 (mod 11)?"
Answer : 40

📅 Question of the Day: June 25
"Which greatest two digit number has 5 factors"
Answer : 81

📅 Question of the Day: June 26
"In how many ways can a group of 11  distinct toffees be made from 15 available distinct toffees? "
Answer : 1365

📅 Question of the Day: 27 June
"(32)^50 mod 9 is ?"
Answer : 7  

📅 Question of the Day: 28 June
"Let x be a 3 digit no such that the sum of digits equals 21. If the digits of x are reversed, the number thus formed exceeds x by 495. Find x "
Answer : 489

📅 Question of the Day: 29 June
" How many 3 digit even numbers are possible ? "
Answer : 450

📅 Question of the Day: 30 June
" How many 5 digit passwords exist with striclty descending digits ? " Answer : 252

📅 Question of the Day: 1 July 2025
" The sum of first p terms of a sequence is p(p+1)(p+2). The 10 th term of the sequence is "

Answer : 330

📅 Question of the Day: 2 July 2025
" Find the last two digits of (7^1005) - 1? "

Answer : 06

📅 Question of the Day: 3 July 2025
" Find the remainder when (88888888888)^2 - (7777777777)^2 is divided by 11."

📅 Question of the Day: 4 July 2025
" Find the remainder when 5^119 is divided by 59"

📅 Question of the Day: 7 July 2025
"If the number of divisors of n^2 is 5 then find the number of divisors of n. "

📅 Question of the Day: 8 July 2025
" Find the maximum value of the ratio of 4 digit number to the sum of its digits."

📅 Question of the Day: 9 July 2025
" Find the maximum value of the ratio of 3 digit number to the sum of its digits."

📅 Question of the Day: 10 July 2025
" PQRS is a rectangle with PR = 2; PQ = 4. A is on PQ such that PA: AQ = 2:1, RB ⊥ SA at B. Find RB."

Answer : 2.4

📅 Question of the Day: 11 July 2025
" Find all positive integer solutions to the equation 12x + 5y = 125 "

Answer : 2

📅 Question of the Day: 12 July 2025
" In how many ways 6 boys and 6 girls can sit around a round table if no two girls are together "

Answer : 86400

📅 Question of the Day: 13 July 2025
" How many of the four digit numbers are there whose at least one digit is odd? "

Answer : 8500

📅 Question of the Day: 14 July 2025
" In how many ways 4 red balls and 4 blue balls can be arranged in a row such that no two blue balls are together ? "

📅 Question of the Day: 15 July 2025
" How many 4 digit numbers exist whose sum is divisble inby 6 ? "

📅 Question of the Day: 16 July 2025
" Given 5 labeled baskets, each meant for a specific mango , in how many ways can the items be randomly placed such that no item ends up in its intended basket? "

📅 Question of the Day: 17 July 2025
" A number is between 200 and 300.

• When divided by 6, the remainder is 3.

• When divided by 9, the remainder is 4.

• When divided by 11, the remainder is 5.

What is the number? "