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- Question
- The positive number, when increased by 10 equals 200 times its reciprocal. What is the number?
Options- A. 100
- B. 10
- C. 20
- D. 200
- Correct Answer
- 10
ExplanationLet the positive number be N.
According to the question,
N + 10 = 200 / N
? N2 + 10N = 200
? N2 +10N - 200 =0
? (N - 10)(N + 20) = 0
? N = 10 & N= -20
But N not equal to -20 since N is a positive number
So, the required number is 10 - 1. If the three-four of a number is subtracted from the number, the value so obtained is 163.What is the number?
Options- A. 625
- B. 562
- C. 632
- D. 652 Discuss
- 2. If x/y =3/4, then the value of [6/7 + (y - x) / (y + x)] equals?
Options- A. 5/7
- B. 11/7
- C. 1
- D. 2 Discuss
- 3. 62976 ÷? = 123
Options- A. 412
- B. 502
- C. 512
- D. 522 Discuss
- 4. 4050/? ? = 450?
Options- A. 49
- B. 100
- C. 81
- D. 9 Discuss
- 5. What value should come in place of the question mark(?) in the following question?
√ ? /19 = 4?
Options- A. 76
- B. 5776
- C. 304
- D. 1296 Discuss
- 6. A man has given one -fourth part of his property to his daughter half part to his sons and one fifth part given as charity. How much part of his his property he has given?
Options- A. 1/20
- B. 19/20
- C. 1/10
- D. 9/10 Discuss
- 7. The sum of two number is 10 Their product is 20. Find the sum of the reciprocals of the two numbers.
Options- A. 1
- B. 3/5
- C. 1/2
- D. 11/6 Discuss
- 8. A chocolate has 12 equal to pieces Manju gave 1/4 th of it to anju 1/3 th of it to raj and 1/6 th of to fiza The number of pieces of chocolate left with manju is
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 9. How many factors does 120 contains?
Options- A. 3
- B. 10
- C. 12
- D. 16 Discuss
- 10. If n is any odd number greater than 1, then n( n 2 -1 ) is
Options- A. divisible by 96 always
- B. divisible by 48 always
- C. divisible by 24 always
- D. None of these Discuss
Number System problems
Search Results
Correct Answer: 652
Explanation:
Let the number be N.
According to the question,
N - (N x 3/4) =163
? N/4 =163
? N=652
Correct Answer: 1
Explanation:
Given Exp. = 6/7 + [(y - x)/(y + x)]
= 6/7 + [1 - (x/y) / 1 + (x/y)]
= 6/7 + [1 - (3/4)] / [1 + (3/4)]
= 6/7 + 1/7 =1.
Correct Answer: 512
Explanation:
Let 62976/N = 123
Then N = 62976 / 123 = 512.
Correct Answer: 81
Explanation:
Let 4050/?N = 450
Then ?N = 4050/450 = 9
? N = (9 x 9) = 81.
Correct Answer: 5776
Explanation:
Let √N/19 = 4
Then √N = 19 x 4 = 76
∴ N = 76 x 76 = 5776.
Correct Answer: 19/20
Explanation:
Total share given by the person = (1/4) + (1/2) + (1/5)
= (5 + 10 + 4) / 20
=19/20
Correct Answer: 1/2
Explanation:
Let the number be a and b Then
a + b = 10 ..........(i)
ab = 20 ........(ii)
Sum of reciprocal = 1/a + 1/b
= (a + b) / ab
= 10/20
= 1/2
Correct Answer: 3
Explanation:
the number of pieces of chocolate left with manju =1- [(1/4) + (1/3) + (1/6)]
= 1 - [ (3 + 4 + 2)/12)
= 1 - (9/12)
= 3/12
Hence number of piece of chocolate left with in manju is 3
Correct Answer: 16
Explanation:
Factors of composite number = (P1 +1)(P2+1)(P3+1)......(Pn+1).
Where P1,P2,P3... Pn are the powers of respective prime factors.
So,
120= 23 x 31 x 51
Factors=(3+1)(1+1)(1+1)=16.
Correct Answer: divisible by 24 always
Explanation:
Solving the question by taking two odd numbers greater than 1 i.e. 3 and 5,
for n =3, n( n2 -1 ) = 3( 9 - 1) = 24
for n = 5 n( n2 -1 ) = 5( 25 - 1) = 120
Using option we find that both the number are divisible by 24.
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