CAT Practice Question and Answer
8Q: There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ? 1854 05b5cc6dce4d2b4197774e974
5b5cc6dce4d2b4197774e974- 117false
- 219false
- 313true
- 411false
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Answer : 3. "13"
Explanation :
Answer: C) 13 Explanation: (385/1001) = 5/13 First Number is 5 => Fourth number is 13
Q: Light from the sun reaches us in nearly 1854 05b5cc6a2e4d2b4197774cbc2
5b5cc6a2e4d2b4197774cbc2- 15 minfalse
- 24.30 hrsfalse
- 38 mintrue
- 45.30 hrsfalse
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Answer : 3. "8 min"
Explanation :
Answer: C) 8 min Explanation: The light from the sun takes about 8 minutes to reach the Earth after it has been emitted from the sun's surface. The time it takes for light to reach planets in our Solar System varies from about 3 minutes for Mercury to about 5.3 hours for Pluto.
Q: which of the following statements are correct 1853 05b5cc6b8e4d2b4197774d65f
5b5cc6b8e4d2b4197774d65f- 1Sir Richard Arkwright - Father of industrial revolutionfalse
- 2Michael Faraday - Discovered Benzene and invented Bunsen Burnerfalse
- 3Thomas Alva Edison - phonograph and motion picture camerafalse
- 4All the abovetrue
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Answer : 4. "All the above"
Explanation :
Answer: D) All the above Explanation: Inventors and their Inventions :: Sir Richard Arkwright - Father of industrial revolution. Michael Faraday - Discovered Benzene and invented Bunsen Burner. Thomas Alva Edison - Invented Phonograph and motion picture camera.
Q: A passenger train is moving at a speed of 120 km/hr. If the length of the train is 101 meters, how long will it take to cross a railway platform 154 meters long ? 1853 05b5cc6d3e4d2b4197774e540
5b5cc6d3e4d2b4197774e540- 16.24 secfalse
- 26.58 secfalse
- 37.325 secfalse
- 47.65 sectrue
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Answer : 4. "7.65 sec"
Explanation :
Answer: D) 7.65 sec Explanation: Here total distance = 154 + 101 = 255 mtsGiven speed = 120 kmph = 120x5/18 m/secHence, Time = d/s = 255x18/120x5 = 7.65 sec
Q: A, B and C started a company where their initial investments was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit of the company ? 1853 05b5cc6cce4d2b4197774e138
5b5cc6cce4d2b4197774e138- 1Rs. 9500true
- 2Rs. 10600false
- 3Rs. 7500false
- 4Rs. 8900false
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Answer : 1. "Rs. 9500"
Explanation :
Answer: A) Rs. 9500 Explanation: Given initial investments ratio = 2 : 3 : 4 At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment i.e, upto 6 months A's investment is 2 and after 6 months his invstment is 3 = B's investment Now, Ratio of investment for one year => A : B : C = (2×6 + 3×6) : (3×12) : (4×12) = 30 : 36 : 48 = 5 : 6 : 8 But given B's profit = 3000 => 6 ratio = 3000 For total => 19 ratio = Rs. 9500.
Q: A trader marked the price of the T.V. 30% above the cost price of the T.V. and gave the purchaser 10% discount on the marked price, thereby gaining Rs.340. Find the cost price of the T.V ? 1852 05b5cc6e0e4d2b4197774eb9d
5b5cc6e0e4d2b4197774eb9d- 1Rs. 2000true
- 2Rs. 1600false
- 3Rs. 2200false
- 4Rs. 2100false
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Answer : 1. "Rs. 2000"
Explanation :
Answer: A) Rs. 2000 Explanation: Let 'x' be the cost price.Now Marked price = x + 30x/100 = 13x/1010% discount = 10/100 x 13x/10 = 13x/100 Selling price = 13x/10 - 13x/100 = 117x/100Given gain = 340Here gain = 117x/100 - x = 17x/100 = 340 => x = Rs. 2000.
Q: What Room can Nobody Enter? 1852 05b5cc6abe4d2b4197774cfea
5b5cc6abe4d2b4197774cfea- 1War roomfalse
- 2Spare roomfalse
- 3Escape roomfalse
- 4Mushroomtrue
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Answer : 4. "Mushroom"
Explanation :
Answer: D) Mushroom Explanation: The Room can Nobody Enter is a Mushroom.
Q: The probability that a number selected at random from the first 100 natural numbers is a composite number is ? 1852 05b5cc6e3e4d2b4197774ec8e
5b5cc6e3e4d2b4197774ec8e- 13/2true
- 22/3false
- 31/2false
- 434/7false
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Answer : 1. "3/2"
Explanation :
Answer: A) 3/2 Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2.