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- Question
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
- Correct Answer
- 4⁄5
ExplanationLet 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 - 1. Find the next number in the series 125, 80, 45, 20, ....
Options- A. 5
- B. 15
- C. -5
- D. 10 Discuss
- 2. 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
- 3. The difference between the squares of two consecutive odd integers is always divisible by ?
Options- A. 8
- B. 2
- C. 6
- D. 4 Discuss
- 4. 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
- 5. The sum of all two digit numbers divisible by 5 is
Options- A. 945
- B. 678
- C. 439
- D. 568 Discuss
- 6. If 60% of 35 of a number is 36, then the number is
Options- A. 86
- B. 94
- C. 100
- D. 115 Discuss
- 7. Find the next number in the series 14, 916, 2536,......
Options- A. 4981
- B. 6481
- C. 4964
- D. 6449 Discuss
- 8. 476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively:
Options- A. 6 and 2
- B. 8 and 2
- C. 6 and 5
- D. 8 and 5 Discuss
- 9. Which number will come in place of question mark 7, 16, 36, 78, 144, ?
Options- A. 168
- B. 196
- C. 222
- D. 256 Discuss
- 10. Which one of the following cannot be the square of a natural number?
Options- A. 32761
- B. 42437
- C. 81225
- D. 20164 Discuss
Numbers problems
Search Results
Correct Answer: 5
Explanation:
The pattern is -45, -35, -25, -15
The next number = 20-15= 5
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: 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: 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: 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
Correct Answer: 8 and 5
Explanation:
Let the number be 476ab0
476ab0 is divisible by 3
=> 4 + 7 + 6 + a + b + 0 is divisible by 3
=> 17 + a + b is divisible by 3 ------------------------(i)
476ab0 is divisible by 11
[(4 + 6 + b) -(7 + a + 0)] is 0 or divisible by 11
=> [3 + (b - a)] is 0 or divisible by 11 --------------(ii)
Substitute the values of a and b with the values given in the choices and select the values which satisfies both Equation 1 and Equation 2.
if a=6 and b=2,
17 + a + b = 17 + 6 + 2 = 25 which is not divisible by 3 --- Does not meet equation(i).Hence this is not the answer
if a=8 and b=2,
17 + a + b = 17 + 8 + 2 = 27 which is divisible by 3 --- Meet equation(i)
[3 + (b - a)] = [3 + (2 - 8)] = -3 which is neither 0 nor divisible by 11---Does not meet equation(ii).Hence this is not the answer
if a=6 and b=5,
17 + a + b = 17 + 6 + 5 = 28 which is not divisible by 3 --- Does not meet equation (i) .Hence this is not the answer
if a=8 and b=5,
17 + a + b = 17 + 8 + 5 = 30 which is divisible by 3 --- Meet equation 1
[3 + (b - a)] = [3 + (5 - 8)] = 0 ---Meet equation 2
Since these values satisfies both equation 1 and equation 2, this is the answer
Correct Answer: 222
Correct Answer: 42437
Explanation:
The square of a natural number never ends in 7.
42437 is not the square of a natural number
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