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The MCQs below are drawn from the Mathematics subject category.
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7261
Find the mean proportional between 4 and 9.
A. 6
B. 6.5
C. 7
D. 7.5
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Correct Option
Explanation
Mean proportional = sqrt(4 * 9) = sqrt(36) = 6.
7262
Find a third proportional to 9 and 15.
A. 21
B. 25
C. 27
D. 30
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Correct Option
Explanation
9 : 15 :: 15 : x. 9x = 225. x = 25.
7263
Find a fourth proportional to 12, 21, 8.
A. 14
B. 16
C. 18
D. 20
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Correct Option
Explanation
12 : 21 :: 8 : x. 12x = 21 * 8 = 168. x = 168 / 12 = 14.
7264
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2:3. If there is Rs. 30 in all, how many 5 p coins are there?
A. 50
B. 100
C. 150
D. 200
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Correct Option
Explanation
Let number of coins be x, 2x, 3x. Value in paise: 25x + 10(2x) + 5(3x) = 25x + 20x + 15x = 60x. Total value = 3000 paise. 60x = 3000 => x = 50. Number of 5 p coins = 3x = 150.
7265
If 15% of x is the same as 20% of y, then x : y is:
A. 3 : 4
B. 4 : 3
C. 17 : 16
D. 16 : 17
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Correct Option
Explanation
15x = 20y, so x/y = 20/15 = 4/3. Thus, x:y = 4:3.
7266
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A. 2:5
B. 3:5
C. 4:5
D. 5:4
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Correct Option
Explanation
Let third number be 100. First number = 120, Second number = 150. Ratio = 120:150 = 4:5.
7267
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
A. Rs. 1000
B. Rs. 2000
C. Rs. 3000
D. Rs. 4000
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Correct Option
Explanation
Ratio is 5x, 2x, 4x, 3x. C - D = 4x - 3x = x. Given x = 1000. B's share is 2x = 2000.
7268
The ratio of present ages of A and B is 4:5. After 5 years, their ages will be in the ratio 5:6. What is the present age of A?
A. 10 years
B. 15 years
C. 20 years
D. 25 years
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Correct Option
Explanation
Let present ages be 4x and 5x. (4x + 5) / (5x + 5) = 5 / 6. 24x + 30 = 25x + 25 => x = 5. Present age of A = 4x = 20 years.
7269
If x/y = 3/4, then the value of (2x + 3y) / (3x - 2y) is:
A. 18 / 1
B. 18 / 5
C. 9 / 1
D. 15 / 2
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Correct Option
Explanation
Substitute x=3 and y=4 directly: (2(3) + 3(4)) / (3(3) - 2(4)) = (6 + 12) / (9 - 8) = 18 / 1.
7270
If a/b = 2/3 and b/c = 4/5, then (a + b) / (b + c) is equal to:
A. 20 / 27
B. 27 / 20
C. 6 / 8
D. 8 / 15
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Correct Option
Explanation
Make b common: a:b = 8:12, b:c = 12:15. a=8k, b=12k, c=15k. (a + b) / (b + c) = (8k + 12k) / (12k + 15k) = 20k / 27k = 20 / 27.
