Topic / 17 questions
Problems on Numbers MCQs are aptitude questions where you find unknown numbers from clues about their sums, differences, products, squares or digits. They help candidates for staff selection, banking, recruitment and admission tests. Every question shows its correct answer instantly, so you can check your equations and shortcuts as you practise.
Correct answer B. II alone sufficient while I alone not sufficient to answer
Correct answer B. II alone sufficient while I alone not sufficient to answer
Correct answer C. 42
Correct answer B. 114
Correct answer B. 253
Correct answer B. 23
Correct answer C. 400
Correct answer A. 3
Correct answer A. 24
Correct answer D. 11
Correct answer A. 20
Correct answer D. Cannot be determined
Correct answer B. 24
Correct answer B. 8
Correct answer B. 4
Correct answer D. 15
Correct answer D. 54
These questions turn word statements into simple equations. Examples on this page include two numbers whose product is 120 and whose squares add to 289, a pair with a known sum and difference, and a number where one third of one fourth equals 15. Two-digit number problems are common: a number is written as 10a + b, and reversing the digits gives 10b + a. Some items are data sufficiency questions. Useful identities include (a + b) squared equals a squared plus b squared plus 2ab, which solves many sum and product problems quickly.
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Use the identity (a + b) squared equals a squared plus b squared plus 2ab. If the product is 120 and the sum of squares is 289, then (a + b) squared is 289 + 240, which is 529, so the sum is 23. The numbers are 15 and 8.
Write a two-digit number with tens digit a and units digit b as 10a + b. Reversing the digits gives 10b + a. Adding the number and its reverse always gives 11(a + b), and subtracting gives 9 times the difference of the digits, which helps check answers quickly.
MCQs360 has 17 Problems on Numbers MCQs, free to practise with no sign-up. Each question shows its answer instantly, helping you build speed with equations and number identities for aptitude sections. Writing the equation before looking at the options saves time.
Last reviewed October 2026
