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Ratio and Proportion ( 11 to 15 ):
APTITUDE QUESTIONS (RATIO AND PROPORTION):
11. Two whole numbers whose sum is 72 cannot be in the ratio:
A) 5 : 7
B) 3 : 5
C) 3 : 4
D) 4 : 5
E) None of these
View Answer
Answer: option (C)
Explanation:
The sum of the ratio must divide 72. So, the ratio cannot be 3:4.
12. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
A) 2:5
B) 3:7
C) 5:3
D) 7:3
E) None of these
View Answer
Answer: option (C)
Explanation:
Let 40% of A = (2/3)B.
Then, 40A/100 = 2B/3 2A/5 = 2B/3 <=> A/B = (2/3 * 5/2) = 5/3
∴ A : B = 5 : 3
13. What least number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?
A) 0
B) 1
C) 2
D) 7
E) None of these
View Answer
Answer: option (C)
Explanation:
Let the required number be x. Then, (14 – x) : (17 – x) : : (34 – x) : (42 – x)
∴ (14-x/17-x) = (34-x/42-x) <=> (14 – x) (42 – x) = (17 – x) (34 – x)
<=> x2 – 56x + 588 = x2 – 51x + 578 5x = 10 x = 2
∴ required number = 2
14. The fourth proportional to 5, 8, 15 is:
A) 18
B) 24
C) 19
D) 20
E) None of these
View Answer
Answer: option (B)
Explanation:
Let us consider fourth proportional 5, 8, 15 be x.
Then, 5 : 8 : : 15 : x <=> 5x = (8 * 15) <=> x = 8 * 15/5 = 24
15. The prices of a scooter and a T.V. are in the ratio 7 : 5. If the scooter costs Rs.8000 more than T.V. set, then the price of a T.V. set is:
A) Rs. 20000
B) Rs. 24000
C) Rs. 28000
D) Rs. 32000
E) None of these
View Answer
Answer: option (C)
Explanation:
Let the prices of a scooter and a T.V. set be Rs. 7x and Rs. 5x respectively.
Then, 7x – 5x = 8000 <=> 2x = 8000 x = 4000
∴ Price of a T.V. set = Rs.(7 * 4000) = Rs.28000