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- Question
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
- Correct Answer
- 13
Explanation(385/1001) = 5/13
First Number is 5
=> Fourth number is 13
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. Find the number which when multiplied by 15 is increased by 196.
Options- A. 10
- B. 12
- C. 14
- D. 16 Discuss
- 8. The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :
Options- A. 35 and 46
- B. 35 and 50
- C. 40 and 55
- D. 45 and 60 Discuss
- 9. A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number ?
Options- A. 7
- B. 23
- C. 9
- D. 21 Discuss
- 10. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ?
Options- A. 476190476
- B. 48617
- C. 47619
- D. 4587962 Discuss
Problems on Numbers
Search Results
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: 47.5
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: 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: 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: 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.
Correct Answer: 14
Explanation:
Let the number be x. Then, 15x - x = 196 <=> 14x = 196 => x = 14..
Correct Answer: 35 and 46
Explanation:
Let the numbers be x and y. Then,
x^2+y^2=3341......(1)
x^2-y^2=891......(2)
Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46
Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35
So, the numbers are 35 and 46
Correct Answer: 23
Explanation:
Let the greater and smaller number be p and q respectively.
4q = p + 5 ------ (I)
p = 3q+2 ------- (II)
From equation (I) and (II)
q = 7
p = 23
Correct Answer: 47619
Explanation:
By hit and trail, we find that
47619 x 7 = 333333.
7) 333333 (47619
333333
----------------
0
And 476190476 x 7 = 3333333333 but smallest number is 47619.
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