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Arithmetic Aptitude :: Numbers
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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 ?
Answer : Option B
Explanation :
x = 13p + 11 and x = 17q + 9
13p + 11 = 17q + 9
17q - 13p = 2
q =2+13p17
The least value of p for which q =2+13p17is a whole number is p = 26
x = (13 x 26 + 11)
= (338 + 11)
= 349
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(51 + 52 + 53 + ... + 100) = ?
Answer : Option D
Explanation :
Sn = (1 + 2 + 3 + ... + 50 + 51 + 52 + ... + 100) - (1 + 2 + 3 + ... + 50)
=1002x (1 + 100)-502∗ (1 + 50)
= (50 x 101) - (25 x 51)
= (5050 - 1275)
= 3775.
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(800 ÷ 64) x (1296 ÷ 36) = ?
Answer : Option E
Explanation :
Given Exp. =80064∗129636=450
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Which natural number is nearest to 8485, which is completely divisible by 75 ?
Answer : Option A
Explanation :
On dividing, we get
75) 8485 (113
75
---
98
75
----
235
225
---
10
---
Required number = (8485 - 10) // Because 10
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Which natural number is nearest to 8485, which is completely divisible by 75 ?
Answer : Option A
Explanation :
On dividing, we get
75) 8485 (113
75
---
98
75
----
235
225
---
10
---
Required number = (8485 - 10) // Because 10 less than(75 - 10)
= 8475.
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If the number 42573 * is exactly divisible by 72, then the minimum value of * is:
Answer : Option C
Explanation :
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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Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?
Answer : Option B
Explanation :
639 is not divisible by 7
2079 is divisible by each of 3, 7, 9, 11.
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Which natural number is nearest to 9217, which is completely divisible by 88 ?
Answer : Option B
Explanation :
On dividing we get,
88) 9217 (104
88
----
417
352
----
65
----
Therefore, Required number = 9217 + (88 - 65) // Because (88 - 65)
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Which natural number is nearest to 9217, which is completely divisible by 88 ?
Answer : Option B
Explanation :
On dividing we get,
88) 9217 (104
88
----
417
352
----
65
----
Therefore, Required number = 9217 + (88 - 65) // Because (88 - 65) less than 65.
= 9217 + 23
= 9240.
Answer : Option C
Explanation :
Let 4300731 - x = 2535618
Then x, = 4300731 - 2535618 = 1765113
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