InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A certain number when sucessively divided by 2, 3 and 5 leave remaindery 1, 2 and 3 respectively. Then what is the complete remainder? a) 20 b) 21 c) 22 d) 23 |
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Answer» Correct option: (d) 23 Explanation: d1 = 2 d2 = 3 d3= 5 r1 = 1 r2 = 2 r3= 3 Complete remainder = d1 d2 r3 + d1 r2 + r1 = 2 x 3 x 3 + 2 x 2 + 1 = 18 + 4 + 1 = 23 |
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| 2. |
What is the sum of all the numbers between 300 and 1,000 which are divisible by 179? a) 2,517 b) 2,527 c) 2,607 d) 2,506 |
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Answer» Correct option: (d) 2506 Explanation: ⇒ 179 x 2 + 179 x 3 + 179 x 4 + 179 x 5 ⇒ 179 (2 + 3 + 4 + 5) ⇒ 179 x 14 = 2506 |
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| 3. |
A certain number 'X' when divided by 51 leaves a remainder 26 what is the remainder if the number X is divided by 17? a) 6 b) 7 c) 8 d) 9 |
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Answer» Correct option: (d) 9 Explanation: X = 51Q + 26 X = 3 x 17Q + 17 + 9 X = 17 (3Q + 1) + 9 Remainder = 9 |
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| 4. |
When "N" is divided by "4" the remainder is '3' what is the remainder when "2N" is divided by 4? a) 1 b) 2 c) 3 d) 4 |
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Answer» Correct option: (b) 2 Explanation: Q = Quotient N = 4Q + r ⇒ N = 4Q + 3 When '2N' is divided by 4.. 2N = 2 (4q + 3) ⇒ 2N = 8q + 6 2N = 4 (2q + 1) + 2 Remainder = 2 |
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| 5. |
A certain umber when divided by 39 leaves a remainder 20, what is the remainder when the same number be divided by 13? a) 7 b) 11 c) 0 d) 5 |
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Answer» Correct option: (a) 7 Explanation: Let the number = x Divisor (d) = 39 Remainder (r) = 20 X = (d x q) + r X = (39 x q) + 20 When divided by "13" X = 13 x 3 x q + 13 + 7 X =13 (3q + 1) + 7 Remainder = 7 |
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| 6. |
What least number must be added to 3,000 to a number exactly divisible by 19? a) 1 b) 2 c) 3 d) 4 |
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Answer» Correct option: (b) 2 Explanation: 3,000 19 ⇒ remainder = 17 Number to be added = (19 - 17) = 2 |
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| 7. |
A number when divided by 119 leaves 19 as remainder if the same number is divided by 17 the remainder obtained. a) 2 b) 3 c) 1 d) 5 |
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Answer» Correct option: (a) 2 Explanation: Let, the Number = x Quotient = q Divisor = (d) = 119 Remainder = (r) = 19 X = (d x q) + r X = (119 x q) +19 Same number when divided by "17" x = (17 x 7 x q) + 17 + 2 = 17 (7q + 1) + 2 Remainder is "2" |
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| 8. |
Find the number which is nearest to 3,105 and exactly divisible by 21. a) 3,106 b) 3,108 c) 3,110 d) 3,111 |
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Answer» Correct option: (b) 3,108 Explanation: On dividing 3,105 by 21, remainder obtained '18' Number to be added (21-18) = 3 Required number = (3105 + 3) = 3108 |
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| 9. |
A certain number when sucessively divided by 3 and 7 it leaves remainders 1 and 3 respectively. Find the complete remainder. a) 7 b) 8 c) 9 d) 10 |
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Answer» Correct option: (d) 10 Explanation: d1 = 3 d2 = 7 r1 = 1 r2 = 3 Complete remainder = d1 r2 + r1 = 3 x 3 + 1 = 10 |
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