CAT Practice Question and Answer
8Q: A fair six-sided die is rolled twice. What is the probability of getting 4 on the first roll and not getting 6 on the second roll ? 2346 05b5cc6d7e4d2b4197774e6c1
5b5cc6d7e4d2b4197774e6c1- 11/36false
- 25/36true
- 31/12false
- 41/9false
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Answer : 2. "5/36"
Explanation :
Answer: B) 5/36 Explanation: The two events mentioned are independent. The first roll of the die is independent of the second roll. Therefore the probabilities can be directly multiplied. P(getting first 4) = 1/6 P(no second 6) = 5/6 Therefore P(getting first 4 and no second 6) = 1/6 x 5/6 = 5/36
Q: Manoj and Satya are ranked seventh and eleventh respectively from the top in a class of 31 students. What will be their respective ranks from the bottom in the class ? 2345 05b5cc6f4e4d2b4197774efe1
5b5cc6f4e4d2b4197774efe1- 125th and 21sttrue
- 226th and 22ndfalse
- 320th and 24thfalse
- 424th and 20thfalse
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Answer : 1. "25th and 21st"
Explanation :
Answer: A) 25th and 21st Explanation: Number of students behind Manoj in rank = (31 - 7) = 24. So, Manoj is 25th from the bottom. Number of students behind Satya in rank = (31 - 11) = 20. So, Satya is 21st from the bottom.
Q: Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ? 2344 05b5cc701e4d2b4197774f170
5b5cc701e4d2b4197774f170- 1Rs. 1,24,000false
- 2Rs. 1,44,000true
- 3Rs. 1,32,000false
- 4Rs. 1,62,000false
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Answer : 2. "Rs. 1,44,000"
Explanation :
Answer: B) Rs. 1,44,000 Explanation: Value of Maruti Van, V1 = Rs. 1,96,000Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 yearsLet V2 is the value after depreciation. V2 = V11 - r100tV2 = 196001 - 10071002 V2 = 196000(6/7)(6/7) V2 = (196000x36)/49 = Rs. 1,44,000.
Q: 3 is what percent of 5? 2342 05b5cc64ae4d2b4197774bc0c
5b5cc64ae4d2b4197774bc0c- 145%false
- 260%true
- 372%false
- 480%false
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Answer : 2. "60%"
Explanation :
Answer: B) 60% Explanation: Here it is asked that 3 is what percent of 5 Let 3 is K percent of 5. => K x 5/100 = 3 => K = 300/5 = 60 Hence, 3 is 60% of 5.
Q: What is the distance around a shape called? 2341 05b5cc636e4d2b4197774ba2e
5b5cc636e4d2b4197774ba2e- 1Volumefalse
- 2Areafalse
- 3Massfalse
- 4Perimetertrue
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Answer : 4. "Perimeter"
Explanation :
Answer: D) Perimeter Explanation: The distance around a shape or figure I called Perimeter. A perimeter is a path that surrounds a two-dimensional shape.
Q: In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ? 2340 05b5cc767e4d2b4197774fe45
5b5cc767e4d2b4197774fe45- 161%true
- 275%false
- 355%false
- 481%false
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Answer : 1. "61%"
Explanation :
Answer: A) 61% Explanation: Let C.P.= Rs. 100. Then, Profit = Rs.220, S.P. = Rs.320. New C.P. = 125% of Rs. 100 = Rs. 125 New S.P. = Rs.320. Profit = Rs. (320 - 125) = Rs. 195 Required percentage = 195320×100== 60.9 =~ 61%
Q: Find out which pair of words can be filled up in the blanks in the sentence to make the sentence meaningfully complete. The policy on foreign direct investment in multi- brand retail may be _______ in a political impasse, but big retail chains are using India as sourcing base and making an _________ on local businesses. 2336 05b5cc6c5e4d2b4197774dd55
5b5cc6c5e4d2b4197774dd55- 1Caught, impacttrue
- 2Caught, effectfalse
- 3Fetched, affectfalse
- 4Fetching, impactfalse
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Answer : 1. "Caught, impact"
Explanation :
Answer: A) Caught, impact Explanation: Caught - according to the sentence given caught means to become involved in something, often without wanting to. Impasse - means a situation in which further development is impossible.
Q: The Gandhi Sagar Dam is built on which river in Madhya Pradesh? 2336 05b5cc6afe4d2b4197774d1bf
5b5cc6afe4d2b4197774d1bf- 1Taptifalse
- 2Chambaltrue
- 3Narmadafalse
- 4Nonefalse
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Answer : 2. "Chambal"
Explanation :
Answer: B) Chambal Explanation: The Gandhi Sagar Dam is built on Chambal river and is located in the Mandsaur & Neemuch district of Madhya Pradesh. The dam’s reservoir area is the second-largest in India (after the Hirakud Reservoir), and attracts a large number of migratory and non-migratory birds throughout the year. It is a masonry gravity dam, standing 62.17 metres (204.0 ft) high.