Numbers-Data Intensity 1 Multiple Questions and Answers.
Exercise Questions ::
Numbers
31. | When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ? |
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| A. | 339 |
| B. | 349 |
| C. | 369 |
| D. | None of Above |
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| Answer: Option B |
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| Explanation: |
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x = 13p + 11 and x = 17q + 9
13p + 11 = 17q + 9
17q - 13p = 2
The least value of p for which q = |
2 + 13p |
is a whole number is p = 26 |
17 |
x = (13 x 26 + 11)
= (338 + 11)
= 349 |
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Published by:Michael Daani
| Answer: Option D |
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| Explanation: |
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Sn = (1 + 2 + 3 + ... + 50 + 51 + 52 + ... + 100) - (1 + 2 + 3 + ... + 50)
= |
100 |
x (1 + 100) - |
50 |
x (1 + 50) |
2 |
2 |
= (50 x 101) - (25 x 51)
= (5050 - 1275)
= 3775. |
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Published by:Michael Daani
| Answer: Option D |
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| Explanation: |
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Given Exp. = |
800 |
x |
1296 |
= 450 |
64 |
36 |
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Published by:Michael Daani
| Answer: Option A |
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| Explanation: |
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On dividing, we get
75) 8485 (113
75
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98
75
----
235
225
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10
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Required number = (8485 - 10) // Because 10 < (75 - 10)
= 8475. |
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Published by:Michael Daani
| Answer: Option C |
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| Explanation: |
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72 = 9 x8, where 9 and 8 are co-prime.
The minimum value of x for which 73x for which 73x is divisible by 8 is, x = 6.
Sum of digits in 425736 = (4 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 9.
Required value of * is 6. |
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Tutorial Link: |
Published by:Michael Daani
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