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- Question
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
- Correct Answer
- 8, 4
ExplanationLet the number of girls = x
=> x + x + 4 = 12
=> 2x = 8
=> x = 4
=> Number of girls = 4
=> Number of boys = 4 + 4 = 8
- 1. 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
- 2. 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
- 3. 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 Discuss
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. A fraction becomes 2/3 when 1 is added to both, its numerator and denominator. And, it becomes 1/2 when 1 is subtracted from both the numerator and denominator. What is the fraction?
Options- A. 1/3
- B. 4/5
- C. 3/5
- D. 2/5 Discuss
- 9. There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ?
Options- A. 17
- B. 19
- C. 13
- D. 11 Discuss
- 10. 54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Options- A. 24
- B. 34
- C. 44
- D. 54 Discuss
Problems on Numbers
Search Results
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: 3
Correct Answer: 8/11
Explanation:
Let 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.
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: 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
Correct Answer: 3/5
Explanation:
Let the required fraction be x/y. Then, x+1 / y+1 = 2 / 3 => 3x – 2y = - 1 …(i) and x – 1 / y – 1 = 1 / 2 2x – y = 1 …(ii) Solving (i) and (ii), x = 3 , y = 5 therefore, Required fraction= 3/5
Correct Answer: 13
Explanation:
(385/1001) = 5/13
First Number is 5
=> Fourth number is 13
Correct Answer: 34
Explanation:
Let the two parts be (54 - x) and x.
Then, 10 (54 - x) + 22x = 780
=> 12x = 240
=> x = 20.
Bigger part = (54 - x) = 34.
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