Ratio & Proportion Mcqs

Q.  The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.

a. 30, 19
b. 21, 37
c. 15, 34
d. 15, 27


ANSWER: See Answer
 
Let the two numbers be 5x and 9x.
(5x-5)/(9x-5) = 5:11
(5x-5)*11 = (9x-5)*5
55x – 55 = 45x – 25
10x = 30
x = 3
Therefore, the numbers are 15 and 27.
MCQs:  Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
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MCQs:  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?
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MCQs:  Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?
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MCQs:  Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?
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MCQs:  A surn 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 ?
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MCQs:  The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?
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MCQs:  The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is :__________?
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MCQs:  6 of 5/8 / 5/8 – 1/8 = ______?
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MCQs:  (22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = _________?
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MCQs:  [(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = _________?
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MCQs:  [(523 + 27) * (187 – 35) / (424 + 16)] / [110/22 of (2 * 38)] = ______?
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MCQs:  (50 – ?/29)% of 4200 = 3√196
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MCQs:  7 + 5 – (3/2 * 1/4) of 2/7 + 7/2 * 1/6 equals ________.
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MCQs:  0.003 * ? * 0.0003 = 0.00000027
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MCQs:  [(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ______?
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MCQs:  6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = __________?
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MCQs:  9000 + 16 2/3 % of ? = 10500
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MCQs:  60 + 5 * 12 / (180/3) = _______?
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MCQs:  4 * 0.4 * 0.04 * 0.004 = _________?
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MCQs:  (0.456 * 0.456 – 0.228 * 0.228) / (0.456 + 0.228) = ________?
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