CAT Practice Question and Answer
8Q: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ? 4947 05b5cc6dce4d2b4197774e9c4
5b5cc6dce4d2b4197774e9c4- 18 kmphfalse
- 26 kmphtrue
- 37.5 kmphfalse
- 45.5 kmphfalse
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Answer : 2. "6 kmph"
Explanation :
Answer: B) 6 kmph Explanation: Speed of the stream = 1Motor boat speed in still water be = x kmphDown Stream = x + 1 kmphUp Stream = x - 1 kmph[35/(x + 1)] + [35/(x - 1)] = 12x = 6 kmph
Q: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ? 4939 05b5cc6dae4d2b4197774e8d7
5b5cc6dae4d2b4197774e8d7- 13/17false
- 24/21false
- 32/21true
- 45/17false
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Answer : 3. "2/21"
Explanation :
Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35 Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21
Q: "Kargil Vijay Diwas" was observed on _____. 4928 05b5cc6cae4d2b4197774e054
5b5cc6cae4d2b4197774e054- 126 Julytrue
- 227 Julyfalse
- 325 Julyfalse
- 429 Julyfalse
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Answer : 1. "26 July"
Explanation :
Answer: A) 26 July Explanation:
Q: In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is: 4914 05b5cc6bde4d2b4197774d8fc
5b5cc6bde4d2b4197774d8fc- 19true
- 28false
- 37false
- 47.5false
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Answer : 1. "9"
Explanation :
Answer: A) 9 Explanation: Speed in still water = Average of Speed in Upstream and speed in Downstream = 1/2 (12 + 6) kmph = 9 kmph.
Q: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest) 4910 05b5cc6e7e4d2b4197774ed8d
5b5cc6e7e4d2b4197774ed8d- 119 yearsfalse
- 216 yearsfalse
- 318 yearsfalse
- 420 yearstrue
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Answer : 4. "20 years"
Explanation :
Answer: D) 20 years Explanation: Present total age of the members = 26(5) = 130 years. Present age of the youngest member = 10 years Present total age of the remaining four members = 130 -10 = 120 years Their average age at the time of the birth of the youngest member = 120-4×104 = 30 - 10 = 20 years.
Q: A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time he will be able to cover 8 km upstream ? 4907 05b5cc6e9e4d2b4197774ede3
5b5cc6e9e4d2b4197774ede3- 11.5 hrsfalse
- 21 hrsfalse
- 32.5 hrsfalse
- 42 hrstrue
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Answer : 4. "2 hrs"
Explanation :
Answer: D) 2 hrs Explanation: Speed in downstream = 96/8 = 12 kmph Speed of current = 4 km/hr Speed of the boatman in still water = 12 – 4 = 8 kmph Speed in upstream = 8 – 4 = 4 kmph Time taken to cover 8 km upstream = 8/4 = 2 hours.
Q: Find the missing number in the given series ? 15, 51, 216, 1100, ?, 46452 4892 05b5cc74ae4d2b4197774faa9
5b5cc74ae4d2b4197774faa9- 15660false
- 26560false
- 36750false
- 46630true
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Answer : 4. "6630"
Explanation :
Answer: D) 6630 Explanation: Let first no. be "k" and multiple be "l"...start value of y with 3then,[(k x y) + {l x (l-1)}]Thus, we get 15 x 3 + 3 x 2 = 5151 x 4 + 4 x 3 = 216216 x 5 + 5 x 4 = 11001100 x 6 + 6 x 5 = 66306630 x 7 + 7 x 6 = 46452 Therefore, the missing number is 6630.
Q: Bill : Law :: ? : Insect 4891 05b5cc6a6e4d2b4197774cd51
5b5cc6a6e4d2b4197774cd51- 1Pupafalse
- 2Stagefalse
- 3Larvatrue
- 4Birdfalse
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Answer : 3. "Larva"
Explanation :
Answer: C) Larva Explanation: A Bill becomes a Law; a Larva becomes an insect. (Or) A Bill turns into a law; a Larva turns into an Insect.

