When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then the remainder is 9. What is the number?
- (a) 349
- (b) 339
- (c) Data inadequate
- (d) 369
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(51 + 52 + 53 + … + 100) = ?
- (a) 2525
- (b) 2975
- (c) 3225
- (d) 3775
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(800 – 64) * (1296 + 36) = ?
- (a) 420
- (b) 460
- (c) 500
- (d) 540
- (e) None of these
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Which natural number is nearest to 8485, which is completely divisible by 75?
- (a) 8475
- (b) 8500
- (c) 8550
- (d) 8525
- (e) None of these
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If the number 42573 * Â is exactly divisible by 72, then the minimum value of * is:
- (a) 4
- (b) 5
- (c) 6
- (d) 7
- (e) 8
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Which of the following numbers is divisible by each one of 3, 7, 9, and 11?
- (a) 639
- (b) 2079
- (c) 3791
- (d) 37911
- (e) None of these
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Which natural number is nearest to 9217 which is completely divisible by 88?
- (a) 9152
- (b) 9240
- (c) 9064
- (d) 9184
- (e) None of these
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(4300731 – ?s = 2535618
- (a) 1865113
- (b) 1775123
- (c) 1765113
- (d) 1675123
- (e) None of these
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*n* is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?
- (a) 3
- (b) 2
- (c) 1
- (d) 0
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(489 + 375)^2 – (489 – 375)^2 /div (489 * 375)
- (a) 144
- (b) 864
- (c) 2
- (d) 4
- (e) None of these
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397 * 397 + 104 * Â 104 + 2 * 397 * 104 = ?
- (a) 250001
- (b) 251001
- (c) 260101
- (d) 261001
- (e) None of these
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35423 + 7164 + 41720) – (317 * 89)) = ?
- (a) 28213
- (b) 84307
- (c) 50694
- (d) 56094
- (e) None of these
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* (x^n – a^n) * is completely divisible by (x-a), when *n* is:
- (a) any natural number
- (b) an even natural number
- (c) an odd natural number
- (d) prime
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Which one of the following numbers is completely divisible by 45?
- (a) 181560
- (b) 331145
- (c) 202860
- (d) 2033555
- (e) None of these
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Which of the following numbers will completely divide (325 + 326 + 327 + 328)?
- (a) 11
- (b) 16
- (c) 25
- (d) 30
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The difference of the squares of two consecutive even integers is divisible by which of the following integers?
- (a) 3
- (b) 4
- (c) 6
- (d) 7
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Which one of the following is a prime number?
- (a) 119
- (b) 187
- (c) 247
- (d) 551
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The sum of all even natural numbers between 1 and 31 is:
- (a) 16
- (b) 128
- (c) 240
- (d) 512
- (e) None of these
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The difference between the place value and the face value of 6 in the numeral 856973 is:
- (a) 973
- (b) 6973
- (c) 5994
- (d) None of these
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If *a* and *b* are odd numbers, then which of the following is even?
- (a) a + b
- (b) a + b + 1
- (c) ab
- (d) ab + 2
- (e) None of these
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