• 1. 
    Two years ago the ratio of the ages of Nishu and Risu was 5 : 7 respectively. Four years hence the ratio of their ages will be 7 : 9 respectively. What is the present age of Risu?

  • 16 years
  • 14 years
  • 12 years
  • 23 years
  • 2. 
    In an ornament the ratio of gold and copper is 3 : 2. The percentage of gold in the ornament is:

  • 60
  • 40
  • 30
  • 20
  • 3. 
    Six years ago, the ratio of the ages of kunal and Sagar was 6 : 5 .Four years hence, the ratio of their ages will be 11 : 10 what is Sagar’s age of present?

  • 16 years
  • 18 years
  • 20 years
  • 22 years
  • 4. 
    A grocer blends two varieties of sugar, one costing Rs. 40 per kg and the other Rs. 45 per kg in the ratio 3 : 2. If he sells the blended variety at Rs. 50.4 per kg then his gain percent is

  • 100/9
  • 10
  • 20
  • 50/3
  • 5. 
    What number must be added to each of 45, 13, 33 and 9 such that the resultant numbers are in proportion?

  • 4
  • 3
  • 13
  • 12
  • 6. 
    A, B, and C started a business. A and B invested money in the ratio 1 : 3. B and C invested in the ratio 2 : 5. The total money invested in the business is Rs. 21850. After 4 months B withdraws 1/6 of his investment. 5 months later she again invests the withdrawn money and 11/6 of the original investment. A remained in the business for 5 months. If the total profit at the end of the year is Rs. 8265. Find the profit share of B (in Rs.)

  • 3645
  • 2987
  • 3246
  • 2850
  • 7. 
    The mean proportional between (3 + √2) and (12 - √32) is

  • √7
  • 2√7
  • 6
  • \(\frac{{15 - 3\sqrt 2 }}{2}\)
  • 8. 
    If 5A = 13B = 7C; find the value of A : B : C.

  • 91 : 35 : 65
  • 65 : 35 : 91
  • 35 : 91 : 65
  • 7 : 13 : 5
  • 9. 
    If a ∶ b = 2 ∶ 3, b ∶ c = 4 ∶ 5 and c ∶ d = 6 ∶ 7, then a ∶ d = ?

  • 12 ∶ 35
  • 24 ∶ 35
  • 16 ∶ 35
  • 24 ∶ 25
  • 10. 
    What is the value of x, if it is 4% of the fourth proportional to 5, 8 and 25?

  • 1.23
  • 1.42
  • 1.6
  • 0.92
  • 11. 
    Find the mean proportional between 8 and 98.

  • 16
  • 53
  • 112
  • 28
  • 12. 
    At present, the ratio of the age of Ram and Sanjay is 2 : 3 and after 8 years from now, the ratio will get changed to 6 : 7. Find the Ram’s present age?

  • 2
  • 8
  • 6
  • 4
  • 13. 
    If P/Q = 5, then find the value of \(\frac{{{P^2} + {Q^2}}}{{{P^2} - {Q^2}}}\).

  • 22/21
  • 26/24
  • 65/63
  • 50/47
  • 14. 
    In an army selection process, the ratio of selected to unselected was 3 : 1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5 : 1. How many candidates initially had applied for the process?

  • 240
  • 480
  • 120
  • 720
  • 15. 
    If 30% of A = 0.25 of B = 1/5thof C, then A : B : C is equal to

  • 5 : 6 : 4
  • 5 : 24 : 5
  • 6 : 5 : 4
  • 10 : 12 : 15
  • 16. 
    Two numbers whose sum is 84 can not be in the ratio

  • 5 : 7
  • 13 : 8
  • 1 : 3
  • 3 : 2
  • 17. 
    In the first hall, there are 396 children who have 5 marbles each and 225 children who have 7 marbles each. 198 children with 5 marbles each and 225 children with 7 marbles each are taken to the second hall from the first hall. What will be the ratio of the number of marbles in the second hall to that in the first hall?

  • 17 : 12
  • 23 : 11
  • 47 : 19
  • 57 : 22
  • 18. 
    A bag contains coins of one rupee, two rupee & five rupees. The total money in the bag is Rs. 120. If the total number of one rupee and two rupee coins are 35 and in ratio of coins is 2 : 5. Find the probability of getting a 5 rupee coin if a coin is randomly picked from the bag?

  • 2/7
  • 5/7
  • 5/47
  • 12/47
  • 19. 
    Find the fourth proportional to the numbers 100 : 50 :: 40

  • 30
  • 20
  • 25
  • Cannot be determined
  • 20. 
    The ratio of father’s age to his son’s age is 8 : 5. The product of their age is 1440. The ratio of their ages after 6 years will be

  • 2 : 1
  • 3 : 2
  • 11 : 6
  • 13 : 9
  • 21. 
    An alloy is made up of zinc, copper and aluminium with their respected ratio 8 : 7 : 5. An another alloy contains zinc, aluminium and iron in the ratio of 6 : 4 : 2 and third alloy contains aluminium and zinc in the ratio of 2 : 3. If all the three alloys are melted together (taking same weight of each) find the ratio of zinc, copper, aluminium and iron in the new alloy.

  • 90 : 21 : 59 : 10
  • 90 : 27 : 59 : 10
  • 90 : 21 : 57 : 10
  • 90 : 21 : 59 : 9
  • 22. 
    The monthly salaries of A and B are in the ratio 5 : 6. If both of them get a salary increment of Rs. 2000, the new ratio becomes 11 : 13. What is the new monthly salary of A?

  • Rs. 20000
  • Rs. 24000
  • Rs. 26000
  • Rs. 22000
  • 23. 
    If the compound ratio of [(3a + 2b) : 3] and [1 : (3a + b)] is 1 : 2, find the ratio a : b.

  • 1 : 2
  • 1 : 3
  • 1 : 4
  • 1 : 6
  • 24. 
    If 78 is divided into three parts which are in the ratio \(1:\frac{1}{3}:\frac{1}{6}\), the middle part is

  • \(9\frac{1}{3}\)
  • 13
  • \(17\frac{1}{3}\)
  • \(18\frac{1}{3}\)
  • 25. 
    In a business partnership among A, B, C and D, the profit is shared as follows : \(\frac{{A's\ share}}{{B's\ share}} = \frac{{B's\ share}}{{C's\ share}} = \frac{{C's\ share}}{{D's\ share}} = \frac{1}{3}\) If the total profit is Rs. 4,00,000, the share of C is

  • Rs. 1,12,500
  • Rs. 1,37,500
  • Rs. 90,000
  • Rs. 2,70,000
  • 26. 
    If 2x – 4Y = x + 3Y , find the value of \(\frac{{2x + 4Y}}{{2x - 4Y}}\)

  • 9/5
  • 3/7
  • 16/9
  • 10/3
  • 27. 
    We are given that P : Q is 3 : 2. What will be the value of (6P2 + 5PQ + Q2)/( 6P2 - 5PQ + Q2)?

  • 17/8
  • 21/10
  • 22/7
  • 23/11
  • 28. 
    If first and second term of continued proportion are 7 and 28, third number is 112 then fourth term will be

  • 35
  • 56
  • 112
  • 448
  • 29. 
    If x : y = 4 : 5, then (3x + y) : (5x + 3y)

  • 3 : 5
  • 5 : 3
  • 17 : 35
  • 35 : 17
  • 30. 
    In a school, the ratio of boys to girls is 6 : 5 and the ratio of girls to teachers is 7 : 2. The ratio of students to teachers is:

  • 21 : 5
  • 14 : 15
  • 11 : 2
  • 77 : 10
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