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The MCQs below are drawn from the Mathematics subject category.
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7201
If the duplicate ratio of a:b is 9:25, then a:b is:
A. 3:5
B. 81:625
C. 9:25
D. 27:125
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Explanation
Duplicate ratio is a^2 : b^2 = 9:25. Therefore a:b is the square root of 9:25, which is 3:5.
7202
If A:B = 2:3, B:C = 4:5, C:D = 6:7, find A:B:C:D.
A. 16:24:30:35
B. 16:24:30:37
C. 15:24:30:35
D. 18:24:30:35
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Explanation
A:B = 8:12. B:C = 12:15. A:B:C = 8:12:15. C:D = 6:7. Multiply A:B:C by 2 and C:D by 5 to match C=30. A:B:C = 16:24:30. C:D = 30:35. So, 16:24:30:35.
7203
A sum is divided in the ratio 3:4. If the larger part is 120, what is the total sum?
A. 200
B. 210
C. 220
D. 240
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Explanation
Larger part is 4 parts. 4 parts = 120 => 1 part = 30. Total parts = 7. Total sum = 7 * 30 = 210.
7204
Two numbers are in the ratio 4:7. If their difference is 21, the sum of the numbers is:
A. 77
B. 88
C. 99
D. 110
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Explanation
Numbers 4x, 7x. Difference = 3x = 21 => x = 7. Sum = 11x = 11 * 7 = 77.
7205
A jar contains black and white marbles. If there are 15 black marbles and the ratio of black to white is 3:5, how many white marbles are there?
A. 20
B. 25
C. 30
D. 40
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Explanation
Black = 3x = 15 => x = 5. White marbles = 5x = 5 * 5 = 25.
7206
If p:q = 3:4 and q:r = 8:9, find p:r.
A. 1:2
B. 3:2
C. 2:3
D. 1:3
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Explanation
(p/q) * (q/r) = p/r. (3/4) * (8/9) = 24 / 36 = 2 / 3. So p:r = 2:3.
7207
The ratio of the sides of a triangle is 1/2 : 1/3 : 1/4. If the perimeter is 52 cm, the length of the smallest side is:
A. 9 cm
B. 10 cm
C. 11 cm
D. 12 cm
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Correct Option
Explanation
Ratio = 1/2 : 1/3 : 1/4. Multiply by LCM(2,3,4) = 12 to get 6:4:3. Sum of parts = 13. Value of 1 part = 52 / 13 = 4. Smallest side = 3 parts = 3 * 4 = 12 cm.
7208
Divide Rs. 680 among A, B, and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. C's share is:
A. Rs. 480
B. Rs. 510
C. Rs. 540
D. Rs. 600
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Explanation
A = (2/3)B, B = (1/4)C => C = 4B. A:B:C = (2/3)B : B : 4B = 2/3 : 1 : 4 = 2 : 3 : 12. Total parts = 17. C's share = (12/17) * 680 = 12 * 40 = Rs. 480.
7209
A ratio is 5:8. If the antecedent is 40, the consequent is:
A. 56
B. 64
C. 72
D. 80
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Explanation
Ratio = Antecedent / Consequent. 5/8 = 40/x. 5x = 320 => x = 64.
7210
If the ratio of the cost price to the selling price is 5:6, the profit percent is:
A. 16.66%
B. 20%
C. 25%
D. 30%
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Explanation
CP = 5x, SP = 6x. Profit = x. Profit % = (Profit/CP)*100 = (x/5x)*100 = 20%.
