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- Question
- The sum of the digits of two-digit number is 14 and the difference between the two digits number is 2. What is the product of the two digits of the two-digit number?
Options- A. 56
- B. 48
- C. 45
- D. None of the above
- Correct Answer
- 48
ExplanationLet be the ten's digit be x and unit's digit be y.
So the two digit number = 10x + y ( where x > y )
According to question
x + y = 14 ....(i)
x - y = 2 ....(ii)
Solving Eqs. (i) and (ii), we get
x = 8 and y = 6
? Required product = 8 x 6 = 48
- 1. How many integers from 1 to 100 exist such that each is divisible by 5 and also has 5 as a digit?
Options- A. 10
- B. 11
- C. 12
- D. 20 Discuss
- 2. The number of prime numbers between 0 and 50 is
Options- A. 13
- B. 14
- C. 15
- D. 16 Discuss
- 3. In the year 2011, Shantanu gets a total of 3832.5 Rupee as his pocket allowence. Find his pocket allowence per day.
Options- A. 9.5 Rupees
- B. 10.5 Rupees
- C. 12.5 Rupees
- D. 11.5 Rupees Discuss
- 4. The sum of 4 consecutive even number is 284. What would be the smallest number?
Options- A. 72
- B. 74
- C. 68
- D. 66 Discuss
- 5. The product of two consecutive number odd number is 6723. What is the greater number?
Options- A. 89
- B. 85
- C. 91
- D. 83 Discuss
- 6. What number should be added to 231228 to make it exactly divisible by 33?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 7. How many rational numbers are there between 1 and 1000?
Options- A. 998
- B. 999
- C. 1000
- D. infinite Discuss
- 8. The sum of 5 consecutive even numbers A, B, C, D and E is 130. What is the product of A and E?
Options- A. 720
- B. 616
- C. 660
- D. 672 Discuss
- 9. The sum of 5 consecutive numbers is equal to 170. what is the product of largest and smallest numbers?
Options- A. 1512
- B. 1102
- C. 1152
- D. 1210 Discuss
- 10. Which of the following number always divides the difference between the square of two consecutive odd numbers?
Options- A. 7
- B. 3
- C. 8
- D. 6 Discuss
Number System problems
Search Results
Correct Answer: 11
Explanation:
5,15,25,35,40,50,55,65,75,85,95
So there are total 11 such type of numbers.
Correct Answer: 15
Explanation:
prime numbers between 0 and 50 are 2 3 5 7 11 13 17 19 23 29 31 37 41 43 and 47
? required number of prime number is 15
Correct Answer: 10.5 Rupees
Explanation:
Allowance per day = total allowance / number of days in year
= 3832.5 / 365
= 10.5 Rupees
Correct Answer: 68
Explanation:
Let four consecutive even numbers are x, x+2, x+4, x+6.
According to the question
? x + x+2 + x+4 + x+6 = 284
? 4x + 12 = 284
? 4x = 272
? x = 272 / 4 = 68
Correct Answer: 83
Explanation:
Let the two consecutive odd number be (x + 1) and (x + 3).
According to question (x + 1) (x + 3) = 6723
? x2 + 3x + x + 3 = 6723
? x2 + 4x + 3 = 6723
? x2 + 4x - 6720 = 0
? x2 + 84x - 80x - 6720 = 0
? ( x - 80 )( x + 84 )= 0
? x = 80, (x ? -84)
Hence, the greater number = 80 + 3 = 83
Correct Answer: 3
Explanation:
Correct Answer: infinite
Explanation:
There can be infinite number of rational numbers between 1 and 1000.
Correct Answer: 660
Explanation:
Let 5 consecutive even number be A = x, B = x+2, C = x+4, D = x + 6 and E = x + 8.
According to question
x + x +2 + x + 4 + x + 6 + x + 8 = 130
? 5x + 20 = 130
? x = 22
? A = 22, E = 22 + 8 = 30.
? Multiplication of A and E = 22 x 30
= 660
Correct Answer: 1152
Explanation:
Let smallest number = x.
Then, x + x + 1 + x + 2 + x + 3 + x + 4 = 170
? 5x + 10 = 170
? x = 160 / 5
? x = 32
? product of smallest and largest number = 32 x 36
= 1152
Correct Answer: 8
Explanation:
Let the two consecutive odd numbers be 2x+1 and 2x + 3 .
? Difference = ( 2x + 3 )2 - ( 2x + 1 )2
= ( 2x + 3 + 2x + 1 )( 2x + 3 - 2x - 1 )
=( 4x + 4 ) x 2
= 8 (x + 1)
whis is exactly divisible by 8.
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