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- Question
The denominator of a fraction is 3 more than the numerator. If the numerator as well as the denominator is increased by 4, the fraction becomes 4/5. What was the original fraction ?
Options- A. 7/11
- B. 8/11
- C. 9/11
- D. 10/11
- Correct Answer
- 8/11
ExplanationLet the numerator be x Then, denominator = x + 3.
Now. (x + 4)/(x + 3) +4 = 4/5 <=> 5 (x + 4) = 4(x + 7)
=> x = 8.
The fraction is 8/11.
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. What approximate value will come in place of the question mark(?) in the below question? (47% of 1442 - 36% of 1412) + 63 = ?
Options- A. 4
- B. 5
- C. 3
- D. 6 Discuss
- 7. There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first, and twice the second is 36. The larger of the two is :
Options- A. 3
- B. 6
- C. 9
- D. 12 Discuss
- 8. 12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?
Options- A. 7, 5
- B. 9, 3
- C. 8, 4
- D. 6, 6 Discuss
- 9. The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is :
Options- A. 12 sqrt(10)
- B. 24 sqrt(10)
- C. 120
- D. none of these Discuss
- 10. In the following question a number series is given which has only one wrong number. You have to find out the wrong number? 7.5 47.5 87.5 157.5 247.5 357.5 487.5
Options- A. 47.5
- B. 87.5
- C. 247.5
- D. 357.5 Discuss
Problems on Numbers
Search Results
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
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: 270
Explanation:
Let the numbers be x and 1365+x
Then 1365+x = 6x+15
=> x = 270
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: 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: 3
Correct Answer: 9
Explanation:
Let the numbers be x and y. Then, 2x + 3y = 39...(i)and 3x + 2y = 30 ...(ii)
On solving (i) and (ii), we get : x = 6 and y = 9.
larger number = 9
Correct Answer: 8, 4
Explanation:
Let the number of girls = x
=> x + x + 4 = 12
=> 2x = 8
=> x = 4
=> Number of girls = 4
=> Number of boys = 4 + 4 = 8
Correct Answer: 24 sqrt(10)
Explanation:
Let the numbers be x, x + 2 and X + 4.
Then, x(x + 2)(x +4) / 8 = 720 => x(x + 2)(x +4) = 5760.
?x * ?(x + 2) * ?(x +4) = ?x(x +2)(x + 4 ) = ?5760 = 24?10.
Correct Answer: 47.5
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