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- Question
Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?
Options- A. 15
- B. 3
- C. 9
- D. 6
- Correct Answer
- 15
ExplanationLet the required two numbers be a, b
From the given data,
2a + 3b = 36 .....(1)
3a + 2b = 39 .....(2)
Now, by solving 1 and 2 eqnts, we get
5a = 45
a = 9 ....(3)
Put (3) in (1), we get
2(9) + 3b = 36
=> 18 + 3b = 36
3b = 36 - 18
=> b = 18/3 = 6
Required, difference between the numbers = a + b = 9 + 6 = 15.
- 1. 64, 71, 80, 91, 104, 119, 135, 155
Options- A. 71
- B. 80
- C. 104
- D. 119
- E. 135 Discuss
- 2. 15, 16, 34, 105, 424, 2124, 12756
Options- A. 16
- B. 34
- C. 105
- D. 424
- E. 2124 Discuss
- 3. 196, 169, 144, 121, 100, 80, 64
Options- A. 169
- B. 144
- C. 121
- D. 100
- E. 80 Discuss
- 4. What time will be taken by a boat to cover a distance of 128 km along the stream, if speed of a boat in still water is 24 km/h and speed of stream is 8 km/h?
Options- A. 8 km/h
- B. 4 km/h
- C. 7 km/h
- D. 6 km/h Discuss
- 5. A boat goes 12 km in 1 h in still water. It takes thrice time in covering the same distance against the current. Find the speed of the current.?
Options- A. 8 km/h
- B. 12 km/h
- C. 6 km/h
- D. 7 km/h Discuss
- 6. A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9km/hr and the speed of the current is 3 km/hr the distance between A and B is?
Options- A. 4 km
- B. 6 km
- C. 8 km
- D. 12 km Discuss
- 7. If the first day of June is Saturday, them the date on which the last Saturday of that month falls, is?
Options- A. 22
- B. 28
- C. 29
- D. 30 Discuss
- 8. A boat goes 48 km downstream in 20 h. It takes 4 h more to cover the same distance against the stream. What is the speed of the boat in still water?
Options- A. 2.2 km/h
- B. 2 km/h
- C. 4 km/h
- D. 4.2 km/h Discuss
- 9. If the probability that A will live 15 yr is 7/8 and that B will live 15 yr is 9/10, then what is the probability that both will live after 15 yr?
Options- A. 1/20
- B. 63/80
- C. 1/5
- D. None of these Discuss
- 10. Keshav can row 60 km downstream and 36 km upstream, taking 10 h each time. What is the velocity of the current?
Options- A. 3 km/h
- B. 2. 2 km/h
- C. 4 km/h
- D. 1.2 km/h Discuss
More questions
Correct Answer: 135
Explanation:
So, 135 is wrong.
Correct Answer: 2124
Explanation:
3rd term = (2nd term) x 2 + 2 = 16 x 2 + 2 = 34.
4th term = (3th term) x 3 + 3 = 34 x 3 + 3 = 105.
5th term = (4th term) x 4 + 4 = 105 x 4 + 4 = 424
6th term = (5th term) x 5 + 5 = 424 x 5 + 5 = 2125
∴ 6th term should 2125 instead of 2124.
Correct Answer: 80
Explanation:
So, 80 is wrong.
Correct Answer: 8 km/h
Explanation:
Downstream speed of boat = Speed of boat in still water + Speed of stream
= 24 + 8 = 32 km/h
? Required time = Distance/Speed downstream
= 128/32 = 4 km/h
Correct Answer: 8 km/h
Explanation:
Speed of a boat in still water = distance / time = 12/1 = 12 km/h
Speed against the current = 12/3 km/h
Let the speed of the current = x km/h
According to the question,
12 - x = 4
? x = 8 km/h
Correct Answer: 12 km
Explanation:
Speed downstream = (9 + 3) km/hr = 12km/hr
Speed upstream = = (9 - 3) km/hr = 6km/hr
Let the distance AB = d km
Then, d/6 + d/12 = 3
? 2d + d = 36
? d = 12
? Distance AB = 12 km
Correct Answer: 29
Explanation:
If the first Saturday of June is in lst. Then, next Saturday will be on 8th, 15th , 22nd and 29th. So , last Saturday will be on 29th.
Correct Answer: 2.2 km/h
Explanation:
Speed downstream = 48/20 = 2.4 km/h
Speed upstream = 48/24 = 2 km/h
? Speed of boat in still water = (Speed downstream + Speed upstream)/2
= (2.4 + 2)/2 = 4.4/2 = 2.2 km/h
Correct Answer: 63/80
Explanation:
Required probability = P(A) x P(B)
= (7/8) x (9/10)
= 63/80
Correct Answer: 1.2 km/h
Explanation:
Speed upstream = Distance/Time = 60/10 = 6 km/h
Speed upstream = Distance/Time = 36/10 = 3.6 km/h
? Velocity of the current = (speed downstream - Speed upstream)/2
= (6 - 3.2)/2 = 1.2 km/h
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