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- Question
In a two-digit number, the digit in the unit's place is more than twice the digit in ten's place by 1. If the digits in the unit's place and the ten's place are interchanged,difference between the newly formed number and the oiginal number is less than the original number by 1. What is the original number ?
Options- A. 35
- B. 36
- C. 37
- D. 39
- Correct Answer
- 37
ExplanationLet the ten's digit be x. Then, unit's digit = 2x + 1.
[10x + (2x + 1)] - [{10 (2x + 1) + x} - {10x + (2x + 1)}] = 1
<=> (12x + 1) - (9x + 9) = 1 <=> 3x = 9, x = 3.
So, ten's digit = 3 and unit's digit = 7. Hence, original number = 37.
- 1. What is the place value of 6 in 64?
Options- A. 6
- B. 60
- C. 64
- D. 10 Discuss
- 2. The sum of present age of father and his son is 60 yrs. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?
Options- A. 45
- B. 25
- C. 20
- D. 33 Discuss
- 3. A man was 32 years of age when he had his first son. His wife was 35 years of age when his son attained the age of 7 years. The difference between the age of the father and the mother is _____
Options- A. 7 years
- B. 3 years
- C. 5 years
- D. 4 years Discuss
- 4. The average age of A and B is 18 years. After 3 years, C joins them and the average ages of A, B and C becomes 22 years. The age of C is ?
Options- A. 20 years
- B. 21 years
- C. 24 years
- D. 23 years Discuss
- 5. The average age of a class of 39 students is 15 years. If the age of the teacher is included, then the average increases by 3 months. Find the age of the teacher.
Options- A. 30
- B. 25
- C. 35
- D. 40 Discuss
- 6. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is :
Options- A. 12
- B. 137
- C. 14
- D. 15 Discuss
- 7. Three numbers are in the ratio 4 : 5 : 6 and their average is 25. The largest number is :
Options- A. 30
- B. 40
- C. 50
- D. 60 Discuss
- 8. The difference between the two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is?
Options- A. 280
- B. 270
- C. 370
- D. 170 Discuss
- 9. The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :
Options- A. 100
- B. 200
- C. 300
- D. 400 Discuss
- 10. In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :
Options- A. 12
- B. 24
- C. 36
- D. 48 Discuss
Problems on Numbers
Search Results
Correct Answer: 60
Explanation:
We know that,
? Each digit has a fixed position called its place.
? Each digit has a value depending on its place called the place value of the digit.
? The face value of a digit for any place in the given number is the value of the digit itself
? Place value of a digit = (face value of the digit) × (value of the place).
Hence, the place value of 6 in 64 = 6 x 10 = 60.
Correct Answer: 20
Correct Answer: 4 years
Correct Answer: 24 years
Correct Answer: 25
Correct Answer: 15
Explanation:
Let the three integers be x, x + 2 and x + 4. Then, 3x = 2 (x + 4) + 3 <=> x = 11.
Third integer = x + 4 = 15.
Correct Answer: 30
Explanation:
Let the numbers be 4x, 5x and 6x, Then, (4x + 5x + 6x ) / 3 = 25
=> 5x = 25
=> x = 5.
Largest number 6x = 30.
Correct Answer: 270
Explanation:
Let the numbers be x and 1365+x
Then 1365+x = 6x+15
=> x = 270
Correct Answer: 400
Explanation:
Let the numbers be x and y.
Then, xy = 9375 and x/y = 15.
=>
=> y = 25
=> x = 15y = 15 x 25 = 375.
Sum of the numbers = 375 + 25 = 400.
Correct Answer: 24
Explanation:
Let the ten's digit be x.
Then, unit's digit = x + 2.
Number = 10x + (x + 2) = 11x + 2
Sum of digits = x + (x + 2) = 2x + 2.
(11x + 2) (2x + 2) = 144
=> 22x^2+26x-140=0
=> (x - 2)(11x + 35) = 0
=> x = 2
Hence, Required Number = 11x + 2 = 24
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