CAT Practice Question and Answer
8Q: If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ? 2169 05b5cc6c3e4d2b4197774dc31
5b5cc6c3e4d2b4197774dc31- 1Rs. 20true
- 2Rs. 24false
- 3Rs. 26false
- 4Rs. 29false
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Answer : 1. "Rs. 20"
Explanation :
Answer: A) Rs. 20 Explanation: Let the original price of rice be Rs. x Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs From given data, for Rs. 500 x ---- R kgs (x + 25x/100) ---- (R - 5) kgs => Rx = (R - 5)(x + 25x/100) => Rx = (R - 5)(125x/100) => 100Rx = 125Rx - 625x => R = 25 So at rate of Rs. x/kg, man get 25 kgs for Rs. 500 => x = 500/25 = Rs. 20
Q: Which of the following Valleys is known as "Paradise of Earth" ? 2168 05b5cc6d5e4d2b4197774e5ed
5b5cc6d5e4d2b4197774e5ed- 1Kullu Valleyfalse
- 2Doon Valleyfalse
- 3Kangra Valleyfalse
- 4Kashmir Valleytrue
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Answer : 4. "Kashmir Valley"
Explanation :
Answer: D) Kashmir Valley Explanation:
Q: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 2168 05b5cc720e4d2b4197774f5e0
5b5cc720e4d2b4197774f5e0- 1Rs. 13 and Rs. 17true
- 2Rs. 17 and Rs. 19false
- 3Rs. 23 and Rs. 17false
- 4Rs. 13 and Rs. 19false
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Answer : 1. "Rs. 13 and Rs. 17"
Explanation :
Answer: A) Rs. 13 and Rs. 17 Explanation: If fares for cities L and M from K are x and y respectively, then 2x + 3y = 77 or 6x + 9y = 231...(1)3x + 2y = 73 or 6x + 4y = 146...(2) subtracting 2 from 1, we get 5y = 85 y = Rs. 17 => x = Rs. 13
Q: Fill in the blank with an appropriate word from the following options. Usually the room tariff in this hotel is higher. At present, it is low because of the------- season. 2167 05b5cc74fe4d2b4197774faf9
5b5cc74fe4d2b4197774faf9- 1Peakfalse
- 2Offtrue
- 3Downfalse
- 4Slowfalse
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Answer : 2. "Off"
Explanation :
Answer: B) Off Explanation: Season can be either at peak or off.Presently it is low, that is because of OFF season.
Q: In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ? 2165 05b5cc72ce4d2b4197774f75a
5b5cc72ce4d2b4197774f75a- 1625false
- 2525true
- 3425false
- 4325false
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Answer : 2. "525"
Explanation :
Answer: B) 525 Explanation: Given 40% minimum passing marks for boys = 483 + 117 = 600=> 1% = 600/40 => 100% = 600 x 100/40 = 1500Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.
Q: In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B , and no two are parallel. Find the number of points of intersection of the straight lines. 2165 05b5cc7d1e4d2b41977751281
5b5cc7d1e4d2b41977751281- 1525false
- 2535true
- 3545false
- 4555false
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Answer : 2. "535"
Explanation :
Answer: B) 535 Explanation: The number of points of intersection of 37 lines is C237. But 13 straight lines out of the given 37 straight lines pass through the same point A. Therefore instead of getting C213 points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting C211 points, we get only one point B. Hence the number of intersection points of the lines is C237-C213-C211 +2 = 535
Q: A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ? 2164 05b5cc70ee4d2b4197774f34c
5b5cc70ee4d2b4197774f34c- 125true
- 224false
- 323false
- 421false
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Answer : 1. "25"
Explanation :
Answer: A) 25 Explanation: (A+B+C) do 1 work in 10 days. So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5 Remaining work=1-2/5=3/5 (B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50 Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25 A does 1/25 work in in 1 day Therefore 1 work in 25 days.
Q: The probability that a bowler bowled a ball from a point will hit by the batsman is ¼. Three such balls are bowled simultaneously towards the batsman from that very point. What is the probability that the batsman will hit the ball ? 2164 05b5cc6c6e4d2b4197774de31
5b5cc6c6e4d2b4197774de31- 137/64true
- 227/56false
- 311/13false
- 49/8false
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Answer : 1. "37/64"
Explanation :
Answer: A) 37/64 Explanation: Probability of not hitting the ball = 1- 1/4 =Then, the probability that the batsman will hit the ball =