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- Question
The difference between the squares of two consecutive odd integers is always divisible by ?
Options- A. 8
- B. 2
- C. 6
- D. 4
- Correct Answer
- 8
ExplanationLet 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 - 1. 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
- 2. The sum of all two digit numbers divisible by 5 is
Options- A. 945
- B. 678
- C. 439
- D. 568 Discuss
- 3. 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
- 4. (51+ 52 + 53 + ... + 100) =?
Options- A. 2525
- B. 2975
- C. 3225
- D. 3775 Discuss
- 5. 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
- 6. 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
- 7. Find the next number in the series 125, 80, 45, 20, ....
Options- A. 5
- B. 15
- C. -5
- D. 10 Discuss
- 8. The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
Options- A. 3⁄5
- B. 3⁄10
- C. 4⁄5
- D. 4⁄3 Discuss
- 9. If 60% of 35 of a number is 36, then the number is
Options- A. 86
- B. 94
- C. 100
- D. 115 Discuss
- 10. Find the next number in the series 14, 916, 2536,......
Options- A. 4981
- B. 6481
- C. 4964
- D. 6449 Discuss
Numbers problems
Search Results
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: 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: 6993
Explanation:
(Place value of 7)-(face value of 7)
=7000-7=6993.
Correct Answer: 3775
Explanation:
This is an A.P. in which a = 51, l = 100 and n = 50.
| ∴Sum = | n | (a + l) | = | 50 | x (51 + 100) = (25 x 151) = 3775. |
| 2 | 2 |
Correct Answer: A=B
Explanation:
Given
=> A
Therefore, A = B
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.
Correct Answer: 5
Explanation:
The pattern is -45, -35, -25, -15
The next number = 20-15= 5
Correct Answer: 4⁄5
Explanation:
| Let the required fraction be x. Then | 1 | - x = | 9 |
| x | 20 |
| ∴ | 1 - x2 | = | 9 |
| x | 20 |
⟹ 20 - 20x2 = 9x
⟹ 20x2 + 9x - 20 = 0
⟹ 20x2 + 25x - 16x - 20 = 0
⟹ 5x(4x + 5) - 4(4x + 5) = 0
⟹ (4x + 5)(5x - 4) = 0
| x = | 4 |
| 5 |
Correct Answer: 100
Explanation:
Let the number be x.Then
60% of of x=36.
=>
=> => x=
Required number is 100.
Correct Answer: 4964
Explanation:
The pattern is ,
The next number= = 4964
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