Ratio And Proportion(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

RATIO AND PROPORTION MCQs

Ratio & Proportion, Ratio, Proportion

Total Questions : 895 | Page 89 of 90 pages

Question 881. The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.

6:10
13:20
3:4
35:33

Discuss Question

Answer: Option B. -> 13:20
LET THE NUMBER OF SEATS BE 5X AND 8X. NEW RATIO
= (1.3*5X):(1.25*8X)
= 6.5X:10X
= 13:20

Question 882. The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.

Discuss Question

Answer: Option B. -> 55
LET THE NUMBERS BE A, B AND C. A+B+C = 172 A:B = 8:11 B:C = 5:7 11A = 8B A = 8B/11 7B = 5C C = 7B/5 (8B/11)+B+(7B/5) = 172 40B+55B+77B = 172*55 172B = 172*55 B=55

Question 883. Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.

Discuss Question

Answer: Option A. -> 38
LET Z = 4Y-1
WHEN X = 14, Y = 2, Z = (4*2) – 1 = 7
NOW, X VARIES DIRECTLY AS Z = 4Y-1
WHEN Y = 5, Z = (4*5) – 1 = 19
X 14 7
Y – 19
THEREFORE, X = (14*19)/7 = 38

Question 884. 4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.

Rs.18000
Rs.13000
Rs.15000
Rs.10000

Discuss Question

Answer: Option C. -> Rs.15000
4S+5D+3C=130000 3C=2D 3D=2S S=3D/2 [4*(3D/2)]+5D+2D = 130000 6D+5D+2D = 130000 13D = 130000 D = RS.10000 S=3D/2 = RS.15000

Question 885. The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

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Answer: Option A. -> 4
LET THE NUMBERS BE 2X AND 3X. (2X)³+(3X)³=280 8X³+27X³=280 35X³=280 X³=8 X=2 THE NUMBERS ARE 4 AND 6.

Question 886. If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?

9:19
19:9
15:28
28:15

Discuss Question

Answer: Option B. -> 19:9
LET A1 BE THE AREA OF FLAT AND A2 BE THAT OF THE COMMERCIAL SPACE
TOTAL COST = AREA * RATE
THEREFORE, COST OF FLAT = A1*4500 ; COST OF COMMERCIAL SPACE = A2*9500
BOTH THE ABOVE COSTS ARE SAME
A1*4500 = A2*9500
A1:A2 = 9500:4500 = 19:9

Question 887. Find the fourth proportion to 3, 7 and 9.

Discuss Question

Answer: Option C. -> 21
3:7::9:X 3X=7*9=63 X=21

Question 888. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?

2 : 5
3 : 7
5 : 3
7 : 3

Discuss Question

Answer: Option C. -> 5 : 3
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 889. 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 ?

2 : 3 : 4
6 : 7 : 8
6 : 8 : 9
None of these

Discuss Question

Answer: Option A. -> 2 : 3 : 4
5:7:8 = 50:70:80
50*140/100=70 ; 70*150/100=105 ; 80*175/100=140
70: 105: 140 OR
14: 21: 28 OR
2: 3: 4

Question 890. 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 :________?

Discuss Question

Answer: Option C. -> 49
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!