CAT Practice Question and Answer
8Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3688 05b5cc709e4d2b4197774f267
5b5cc709e4d2b4197774f267- 163 and 49true
- 264 and 48false
- 362 and 46false
- 464 and 49false
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Answer : 1. "63 and 49"
Explanation :
Answer: A) 63 and 49 Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14=> x - y = 2 product of numbers = product of their hcf and lcm=> 7x * 7y = 441 * 7=> x * y = 63 Now, we havex * y = 63 , x - y = 2=> x = 9 , y = 7 The numbers are 7x and 7y=> 63 and 49
Q: In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.SCD, TEF, UGH, ____, WKL 3686 05b5cc720e4d2b4197774f609
5b5cc720e4d2b4197774f609- 1UJIfalse
- 2VIJtrue
- 3XLMfalse
- 4DOPfalse
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Answer : 2. "VIJ"
Explanation :
Answer: B) VIJ Explanation: First letter series S,T,U,Vsecond and third letter series CD,EF,GH,IJ...so answer = VIJ
Q: Dhanraj Pillay is related to which sports ? 3681 05b5cc6cde4d2b4197774e195
5b5cc6cde4d2b4197774e195- 1Cricketfalse
- 2Hockeytrue
- 3Golffalse
- 4Footballfalse
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Answer : 2. "Hockey"
Explanation :
Answer: B) Hockey Explanation: Dhanraj Pillay is a retired Indian field hockey player and former captain of the Indian national team.He currently serves as the manager of the team.
Q: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 3677 05b5cc72ce4d2b4197774f783
5b5cc72ce4d2b4197774f783- 1Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840true
- 2Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840false
- 3Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840false
- 4Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940false
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Answer : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
Explanation :
Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840
Q: A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream? 3657 05b5cc639e4d2b4197774ba82
5b5cc639e4d2b4197774ba82- 172 kmtrue
- 236 kmfalse
- 356 kmfalse
- 442 kmfalse
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Answer : 1. "72 km"
Explanation :
Answer: A) 72 km Explanation: Rate of her upstream = 12/2.5 = 4.8 km/hr Then, ATQ Rate of downstream = 4.8 x 3 = 14.4 km/hr Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.
Q: In a certain code, MONKEY is written as XDJMNL. How is TIGER written in that code ? 3655 05b5cc6d9e4d2b4197774e820
5b5cc6d9e4d2b4197774e820- 1SHFDQfalse
- 2HFDSQfalse
- 3RSAFDfalse
- 4QDFHStrue
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Answer : 4. "QDFHS"
Explanation :
Answer: D) QDFHS Explanation: The letter of the word are written in a reverse order and then each letter is moved one step backward to obtain the code.
Q: When a women sells 20 articles for Rs. 160, there is 40% loss. How many articles should she sell for Rs. 240 in order to earn 20% profit ? 3652 05b5cc6c2e4d2b4197774dbc3
5b5cc6c2e4d2b4197774dbc3- 116false
- 215true
- 317false
- 414false
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Answer : 2. "15"
Explanation :
Answer: B) 15 Explanation: Given when she sells at Rs. 160 for 20 articles, she get 40% loss. Then, to get 20% profit selling at Rs. 240 for let 'P' articles => 1602060=240p120 => 120 x 160 x P = 20 x 70 x 240 => P = 15 articles.
Q: Which is the most accurate statement about trade? 3651 05b5cc69be4d2b4197774c80b
5b5cc69be4d2b4197774c80b- 1Trade makes some nations better off and others worse offfalse
- 2Trading for a good can make a nation better off only if the nation cannot produce that good itselffalse
- 3Trade helps rich nations and hurts poor nationsfalse
- 4Trade can make every nation better offtrue
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Answer : 4. "Trade can make every nation better off"
Explanation :
Answer: D) Trade can make every nation better off Explanation: