CRE 1 - Ratio | Arithmetic - Ratio, Proportion & Variation
A is twice of B and three times B is equal to four times C. The ratio among A, B and C is :
- A.
3 : 4 : 8
- B.
8 : 4 : 3
- C.
4 : 3 : 8
- D.
None of these
Answer: Option B
Explanation :
A = 2B, 3B = 4C ⇒ C = 3B/4
Then, A : B : C = 2B : B : 3B/4 = 2 ∶ 1 ∶ 3/4 = = 8 ∶ 4 ∶ 3.
Hence, option (b).
Workspace:
If A : B = 2 : 3, B : C = 4 : 3 and C : D = 2 : 5, then, A : B : C : D is?
- A.
16 : 24 : 18 : 45
- B.
16 : 24 : 20 : 50
- C.
30 : 45 : 14 : 35
- D.
None of these
Answer: Option A
Explanation :
The combined ratio:
A : B : C : D = 2 × 4 × 2 : 3 × 4 × 2 : 3 × 3 × 2 : 5 × 3 × 3
= 16 : 24 : 18 : 45
Hence, option (a).
Workspace:
Rs. 750 is distributed among A, B and C such that A’s share : B’s share = 2 : 3 and B’s share : C’s share = 6 : 5. The share of A is?
- A.
Rs. 150
- B.
Rs. 175
- C.
Rs. 200
- D.
Rs. 250
Answer: Option C
Explanation :
A/B = 2/3 = 4/6 and B/C = 6/5
∴ If A = 4, then B = 6 and C = 5.
⇒ A : B : C = 4 : 6 : 5.
∴ A’s share = × 750 = 200
Hence, option (c).
Workspace:
The speed of three cars is in the ratio 4 : 3 : 2. The ratio between the time taken by the cars to cover the same distance will be:
- A.
2 : 3 : 4
- B.
6 : 8 : 12
- C.
3 : 4 : 6
- D.
None of these
Answer: Option C
Explanation :
Remember speed = distance/time, since distance covered is the same, say d and if t1, t2, t3 be the time taken by the three cars, then,
or
To find t1 : t2 : t3, we must find inverse ratio of 4 : 3 : 2, i.e. 1/4 : 1/3 : 1/2 = = 3 ∶ 4 ∶ 6
Hence, option (c).
Workspace:
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