Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 21
The price of a scooter and a television are in the ratio of 8 : 7. If a scooter costs ₹ 2000 more than television, then find out the price of television.

A
₹ 14000
B
₹ 28000
C
₹ 10000
D
₹ 18000
E
None of the above
Correct Answer: Option A

Let the price of scooter = 8k and price of television = 7k
According to the question,
8k - 7k = 2000
∴ k = 2000
∴ Price of television = 7k = 7 x 2000
= ₹ 14000

Question 22
If P2 + 4Q2 = 4PQ, then determine P : Q.

A
1 : 3
B
3 : 1
C
2 : 1
D
1 : 2
E
None of the above
Correct Answer: Option C

P2 + 4Q2 = 4PQ
⇒ P2 + 4Q2 - 4PQ = 0
⇒ (P - 2Q)2 = 0
⇒ P - 2Q = 0
⇒ P = 2Q
∴ P/Q = 2/1
∴ P : Q = 2 : 1

Question 23
Find the mean proportional between 9 and 64.

A
25
B
24
C
27
D
35
E
None of the above
Correct Answer: Option B

Required mean proportional = √9 x 64
= 3 x 8 = 24

Question 24
Calculate the 3rd proportional to 15 and 30.

A
55
B
15
C
65
D
60
E
None of above
Correct Answer: Option D

Let the 3rd proportional = k
Then, 15 : 30 : : 30 : k
⇒ 15/30 = 30/k
⇒ 15k = 30 x 30
∴ 15k = 30 x 30
∴ k = (30 x 30) / 15 = 60

Question 25
If P : Q : = 8 : 15 and Q : R = 3 : 2, then find P : Q : R

A
8 : 15 : 7
B
7 : 15 : 8
C
8 : 15 : 10
D
10 : 15 : 8
E
None of the above
Correct Answer: Option C

Given that, P : Q = 8 : 15, Q : R = 3 : 2
P : Q : R = (8 x 3) : (15 x 3) : (15 x 2) = 24 : 45 : 30

∴ P : Q : R = 8 : 15 : 10
Here, consequent of first ratio should be equal to the antecedent of second ratio.

Question 26
If P : Q = 8 : 15, Q : R = 5 : 8 and R : S = 4 : 5, then P : S is equal to

A
4 : 15
B
2 : 15
C
3 : 19
D
7 : 15
E
None of the above
Correct Answer: Option A

Given, P/Q = 8/15, Q/R = 5/8, R/S = 4/5
∴ P/S = (P/Q) x (Q/R) x (R/S)
⇒ P/S = (8/15) x (5/8) x (4/5) = 4/15
∴ P : S = 4 : 15

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