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The MCQs below are drawn from the Mathematics subject category.
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7231
A, B, C started a business investing Rs. 20000, Rs. 25000, and Rs. 30000 respectively. Their profit ratio at the end of the year is:
A. 4:5:6
B. 2:5:3
C. 5:4:6
D. 6:5:4
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Correct Option
Explanation
Profit ratio corresponds to investment ratio (since time is equal). 20000 : 25000 : 30000 = 20 : 25 : 30. Dividing by 5 gives 4 : 5 : 6.
7232
The ratio of the angles of a quadrilateral is 1:2:3:4. The largest angle is:
A. 72 degrees
B. 108 degrees
C. 144 degrees
D. 180 degrees
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Correct Option
Explanation
Sum of angles of a quadrilateral is 360. Total parts = 1+2+3+4 = 10. 1 part = 36. Largest angle = 4 parts = 4 * 36 = 144 degrees.
7233
An amount is to be distributed among A, B, and C in the ratio 3:1:5. The difference between B's and C's share is Rs. 3600. What is the total amount?
A. Rs. 8100
B. Rs. 9000
C. Rs. 10800
D. Rs. 12600
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Correct Option
Explanation
Ratio is 3x, x, 5x. C - B = 5x - x = 4x. 4x = 3600 => x = 900. Total amount = 3x + x + 5x = 9x = 9 * 900 = Rs. 8100.
7234
Three numbers are in the ratio 1:2:3 and the sum of their squares is 504. The numbers are:
A. 6, 12, 18
B. 8, 16, 24
C. 4, 8, 12
D. 5, 10, 15
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Correct Option
Explanation
Let numbers be x, 2x, 3x. Sum of squares = x^2 + 4x^2 + 9x^2 = 14x^2 = 504. x^2 = 36 => x = 6. Numbers are 6, 12, 18.
7235
If 20% of A = 30% of B = 1/6 of C, then A : B : C is:
A. 2:3:16
B. 3:2:16
C. 10:15:18
D. 15:10:18
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Correct Option
Explanation
(1/5)A = (3/10)B = (1/6)C = k. A = 5k, B = 10k/3, C = 6k. Ratio A:B:C = 5 : 10/3 : 6. Multiply by 3 gives 15 : 10 : 18.
7236
The compound ratio of 2:3, 5:4, and 3:7 is:
A. 5:14
B. 10:21
C. 1:2
D. 5:7
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Correct Option
Explanation
Compound ratio = (2/3) * (5/4) * (3/7) = (2 * 5 * 3) / (3 * 4 * 7) = 30 / 84 = 5 / 14.
7237
The ratio of boys to girls in a class is 4:5. If there are 20 boys, how many girls are there?
A. 20
B. 25
C. 30
D. 35
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Correct Option
Explanation
Let the number of boys be 4x. 4x = 20 => x = 5. Number of girls is 5x = 5 * 5 = 25.
7238
A sum of money is divided among A, B and C in the ratio 2:3:5. If A gets Rs. 100, then the total sum is:
A. Rs. 300
B. Rs. 400
C. Rs. 500
D. Rs. 600
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Correct Option
Explanation
A's share is 2 parts. 2 parts = 100 => 1 part = 50. Total parts = 2+3+5 = 10. Total sum = 10 * 50 = Rs. 500.
7239
In a 729 liters mixture of milk and water, the ratio of milk to water is 7:2. To get a new mixture containing milk and water in the ratio 7:3, the amount of water to be added is:
A. 81 liters
B. 71 liters
C. 91 liters
D. 61 liters
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Correct Option
Explanation
Initial Milk = (7/9)*729 = 567 L. Initial Water = (2/9)*729 = 162 L. New ratio 7:3 implies water should be (3/7)*Milk = (3/7)*567 = 243 L. Amount to add = 243 - 162 = 81 liters.
7240
A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of 50 P coins.
A. 160
B. 200
C. 250
D. 300
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Correct Option
Explanation
Value in paise: 50(5x) + 25(9x) + 10(4x) = 250x + 225x + 40x = 515x. 515x = 20600 paise => x = 40. Number of 50 P coins = 5x = 200.
