The sum of two numbers is 14 and their product is 48. What is the sum of their reciprocals?
Correct answer A. 7/24
Topic / 47 questions
Problems on Numbers MCQs
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.
- Numbers 104
- Percentage 103
- Age Questions 95
- Profit and Loss 82
- Ratio and Proportion 80
- Time and Work 73
- Alligation or Mixture 73
- Fraction and Decimal 72
- Compound Interest 71
- Simple Interest 69
- Area 64
- Volume and Surface Area 64
- Equations and Inequalities 64
- Time and Distance 64
- Simplification 60
- Permutation and Combination 59
- Average 59
- Basic Algebra 58
- Pipes and Cistern 57
- Partnership 56
- Square Root and Cube Root 51
- Problems on Numbers 47
- Probability 45
- Problems on Trains 44
- Odd Man Out and Series 43
- Surds and Indices 43
- Clock 39
- Races and Games 38
- Height and Distance 37
- True Discount 36
- Stocks and Shares 34
- Boats and Streams 34
- Banker's Discount 32
- Counting 32
- Logarithm 30
- Problems on H.C.F and L.C.M 30
- Calendar 30
- Road Problems 26
- Word Problems 25
- Men and Food 24
The sum of a two-digit number and the number formed by reversing its digits is 132, and its digits differ by 4. If the number is greater than its reverse, what is the number?
Correct answer B. 84
The sum of the digits of a two-digit number is 9, and the number is six times the sum of its digits. What is the number?
Correct answer B. 54
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The numerator of a fraction is 3 less than its denominator. If 2 is added to both the numerator and the denominator, the fraction becomes 4/5. What is the original fraction?
Correct answer D. 10/13
Two numbers differ by 5 and their product is 336. What is their sum?
Correct answer B. 37
Twice a number exceeds half of the same number by 45. What is the number?
Correct answer B. 30
Three positive numbers are in the ratio 2 : 3 : 5 and the sum of their squares is 1368. What is the largest number?
Correct answer C. 30
When the digits of a two-digit number are reversed, the number increases by 63. If the sum of its digits is 11, what is the number?
Correct answer C. 29
The sum of the squares of three consecutive natural numbers is 434. What is the sum of the three numbers?
Correct answer B. 36
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A student was asked to divide a number by 7 but multiplied it by 7 instead, and his answer exceeded the correct one by 384. What was the number?
Correct answer C. 56
A student was asked to find 5/8 of a number but found 5/6 of it instead, getting an answer 25 more than the correct one. What was the number?
Correct answer A. 120
A three-digit number has its digits in increasing consecutive order from left to right, and the sum of its digits is 18. What is the number?
Correct answer B. 567
The sum of a two-digit number and the number formed by reversing its digits is 99, and its digits differ by 5. If the tens digit is smaller than the units digit, what is the number?
Correct answer B. 27
The number 90 is divided into two parts such that one-fourth of one part equals one-fifth of the other. What is the larger part?
Correct answer A. 50
One-fifth of a number exceeds one-seventh of the same number by 8. What is the number?
Correct answer B. 140
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The average of five consecutive odd numbers is 41. What is the product of the smallest and the largest of them?
Correct answer D. 1665
The sum of three consecutive multiples of 7 is 357. What is the largest of these multiples?
Correct answer B. 126
When a number is divided by 6, the result is the same as when 35 is subtracted from it. What is the number?
Correct answer D. 42
The product of the digits of a two-digit number is 24. When 45 is added to the number, its digits are reversed. What is the number?
Correct answer D. 38
The digits of a three-digit number add up to 14, and its middle digit equals the sum of the other two digits. If the digits are reversed, the number decreases by 297. What is the number?
Correct answer A. 572
About Problems on Numbers MCQs
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.
Exams that include Problems on Numbers MCQs
Pakistan
- NTS
- PPSC
- FPSC
- ISSB
- GAT
India
- SSC CGL
- SSC CHSL
- IBPS PO
- RRB NTPC
- Campus placements
Bangladesh
- Bank job exams
- BCS
- Government job tests
Frequently asked questions
How do you solve sum and product of two numbers questions?
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.
How are two-digit number problems set up?
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.
Last reviewed October 2026