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- Question
A number when divided by 296 leaves 75 as remainder.When the same number is divided by 37,the remainder will be:
Options- A. 1
- B. 3
- C. 5
- D. 2
- Correct Answer
- 1
ExplanationLet the Number be Y.
Then Y = 296 q + 75
= (37 x 8)q +( 37 x 2) + 1
= 37 (8q + 2) + 1
Thus, when the number is divided by 37, the remainder is 1
- 1. The difference between the place value and the face value of 7 in the numeral 967452 is
Options- A. 6393
- B. 5831
- C. 6993
- D. 6339 Discuss
- 2. The sum of all two digit numbers divisible by 5 is
Options- A. 945
- B. 678
- C. 439
- D. 568 Discuss
- 3. What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?
Options- A. 23
- B. 31
- C. 29
- D. 37 Discuss
- 4. If A = log321875 and B = log2432187 , then which one of the following is correct?
Options- A. A
- B. A=B
- C. A>B
- D. can't be determined Discuss
- 5. If 5x - 17 = -x + 7, then x = ?
Options- A. 4
- B. 5
- C. 7
- D. 9 Discuss
- 6. On dividing 2272 as well as 875 by 3-digit number N,we get the same remainder.The sum of the digits of N is:
Options- A. 13
- B. 12
- C. 11
- D. 10 Discuss
- 7. If the product 4864*9 P 2 is divisible by 12, the value of p:
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 8. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :
Options- A. 553681
- B. 555181
- C. 555681
- D. 556581 Discuss
- 9. The difference between the squares of two consecutive odd integers is always divisible by ?
Options- A. 8
- B. 2
- C. 6
- D. 4 Discuss
- 10. On dividing 4150 by a certain number , the quotient is 55 and the remainder is 25, the divisor is
Options- A. 68
- B. 65
- C. 70
- D. 75 Discuss
Numbers problems
Search Results
Correct Answer: 6993
Explanation:
(Place value of 7)-(face value of 7)
=7000-7=6993.
Correct Answer: 945
Explanation:
Required numbers are 10,15,20,25,...,95
This is an A.P. in which a=10,d=5 and l=95.
Let the number of terms in it be n.Then t=95
So a+(n-1)d=95.
10+(n-1)*5=95,then n=18.
Required sum=n/2(a+l)=18/2(10+95)=945.
Correct Answer: 29
Explanation:
87)13601(156
87
-----
490
435
-----
551
522
-----
29
-----
Required number is 29.
Correct Answer: A=B
Explanation:
Given
=> A
Therefore, A = B
Correct Answer: 4
Explanation:
Given equation 5x-17 = -x+7
Add 1x to each side of the equation
5x-17+x = -x+7+x
6x=24
x=4
Correct Answer: 10
Explanation:
(2272-875) = 1397, is exactly divisible by N.
Now , 1397 = 11 x 127
The required 3-digit number is 127,the sum of digits is 10.
Correct Answer: 1
Explanation:
Clearly 4864 is divisible by 4
So, 9 P 2 must be divisible by 3. So (9+P+2) must be divisible by 3.
So P=1.
Correct Answer: 555681
Explanation:
987 = 3 * 7 * 47.
So, the required number must be divisible by each one of 3, 7, 47
553681 => (Sum of digits = 28, not divisible by 3)
555181 => (Sum of digits = 25, not divisible by 3)
555681 is divisible by each one of 3, 7, 47.
Correct Answer: 8
Explanation:
Let the two consecutive odd integers be (2x + 1) and (2x + 3)
Then,
(2x + 3)2 - (2x + 1)2
= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)
= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8
Correct Answer: 75
Explanation:
Let Divisor be x. We know that Dividend = Remainder+Divisor×Quotient So Divisor = (Dividend - Remainder)/Quotient ⇒ x = (4150 - 25)/55 ⇒ x = 4125/55 ⇒ x = 75 Hence Divisor is 75.
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