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- Question
A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water?
Options- A. 1 : 3
- B. 3 : 2
- C. 2 : 3
- D. 3 : 1
- Correct Answer
- 1 : 3
ExplanationLet the speed of the boat in still water is 'w'
Speed of the current is 'c'
Let the distance between two places is 'd'
According to the question, motorboat takes half time to cover a certain distance downstream than upstream.
=> 2w - 2c = w + c
=> w = 3c
=> c : w = 1 : 3
Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3
- 1. If a : b = 2 : 3 and 2 : a =1 : 2, then the value of 'b' is?
Options- A. 4
- B. 6
- C. 1 / 3
- D. 3 / 2 Discuss
- 2. 0.6 of a number equals 0.09 of another number. The ratio of the number is?
Options- A. 2 : 3
- B. 1 : 15
- C. 20 : 3
- D. 3 : 20 Discuss
- 3. If a/3 = b/8, then ( a + 3 ) : ( b + 8 ) is equal to?
Options- A. 3 : 8
- B. 8 : 3
- C. 5 : 8
- D. 3 : 5 Discuss
- 4. 4, 19, 49,?, 229
Options- A. 75
- B. 109
- C. 65
- D. 169 Discuss
- 5. 777777 / 11 =?
Options- A. 7077
- B. 70707
- C. 7707
- D. 7007 Discuss
- 6. Find the cardinal number of the following set {x: x is a natural number ? 30 and is divisible by 7 or 11}
Options- A. 4
- B. 8
- C. 6
- D. 2 Discuss
- 7. SBI lent ? 1331 lakh to the TATA group at compound interest and got ?1728 lakh after 3 yr. What is the rate of interest charged, if compounded annually?
Options- A. 11%
- B. 9.09%
- C. 12%
- D. 8.33% Discuss
- 8. The sum of two numbers is 10. Their product is 20. Find the sum of the reciprocals of the two numbers.
Options- A. 1
- B. 3/5
- C. 1/2
- D. 11//6 Discuss
- 9. 5 men and 6 women can earn ? 2160 in 4 days. 8 men and 10 women can earn ? 4400 in 5 days. In how many days can 4 men and 9 women earn ? 1800?
Options- A. 3
- B. 4
- C. 5
- D. 6 Discuss
- 10. A train 110 metres long travels at 60 km/hr. How long does it take to cross a telegraph post?
Options- A. 5 sec.
- B. 5.6 sec
- C. 6.6 sec
- D. 6.8 sec Discuss
More questions
Correct Answer: 6
Explanation:
? a / b = 2/3 and 2 / a = 1/2
? a/b x 2/a = 2/3 x 1/2
? 2/b = 1/3
? b = 6
Correct Answer: 3 : 20
Explanation:
0.6 x a = 0.09 x b
? a/b = 0.09 / 0.06 = 9 / 60 = 3 / 20 = 3 : 20
Correct Answer: 3 : 8
Explanation:
Let a/3 = b/8 = K
Then, a = 3K, b = 8K
? (a + 3) / (b + 8) = (3K + 3) / (8K + 8)
= [3( K + 1)] / [8(K+1)] = 3/8
? ( a + 3 ) : (b + 8) = 3 : 8
Correct Answer: 109
Explanation:
Series pattern +15, + 30, +60, +120
? Missing term = 49 + 60 = 109
Correct Answer: 70707
Explanation:
777777 / 11 = 70707.
Correct Answer: 6
Explanation:
NA
Correct Answer: 9.09%
Explanation:
According to the question,
1728 = 1331(1 + R/100)3
1728/1331 = (1 + R/100)3
? (12/11)3 = (1 + R/100)3
? 1 + R/100 = 12/11
? R/100 = (12/11) - 1 = 1/11
? R = 100/11= 9.09%
Correct Answer: 1/2
Explanation:
Here, M + N = 10 and MN = 20
According to the question,
(1/M) + (1/N) = (M + N) / MN = 10/20 = 1/2
Correct Answer: 3
Explanation:
Correct Answer: 6.6 sec
Explanation:
Time = distance / speed
=110 / {60 x 18/5} = 6.6 sec.
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