CAT Practice Question and Answer
8Q: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes ? 3992 05b5cc6e5e4d2b4197774ed1a
5b5cc6e5e4d2b4197774ed1a- 121 mintrue
- 224 minfalse
- 320 minfalse
- 422 minfalse
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Answer : 1. "21 min"
Explanation :
Answer: A) 21 min Explanation: Let the pipe B be closed after 'K' minutes. 30/16 - K/24 = 1 => K/24 = 30/16 - 1 = 14/16 => K = 14/16 x 24 = 21 min.
Q: The longest ship canal in the world is the 3988 05b5cc69fe4d2b4197774c9fb
5b5cc69fe4d2b4197774c9fb- 1Suez canal, Egyptfalse
- 2Kiel canal, Germanyfalse
- 3Panama canal, Central Americafalse
- 4St. Laurence Seaway (USA and Canada)true
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Answer : 4. "St. Laurence Seaway (USA and Canada)"
Explanation :
Answer: D) St. Laurence Seaway (USA and Canada) Explanation:
Q: A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ? 3984 05b5cc70ee4d2b4197774f33c
5b5cc70ee4d2b4197774f33c- 121false
- 211false
- 317false
- 431true
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Answer : 4. "31"
Explanation :
Answer: D) 31 Explanation: Let y be the total number of loavesa be the remaining loaves after 1st thiefb be the remaining loaves after 2nd thiefand c, d..so on after 3 and 4 the = 0 be the remaining loaves after 5th thief a = y - (y/2 + 1/2)= y/2 - 1/2 b = a - (a/2 + 1/2)= a/2 - 1/2 c = b - (b/2 + 1/2)= b/2 - 1/2 d = c - (c/2 + 1/2)= c/2 - 1/2 e = d - (d/2 + 1/2)= d/2 - 1/2we know that, e = 0,thus by substitution, we getd = 1c = 3b = 7a = 15y = 31Therefore total number of bread loaves in bakery was 31.
Q: Ten years ago, Kumar was thrice as old as Sailesh was but 10 years hence, he will be only twice as old. Find Kumar’s present age ? 3981 05b5cc77fe4d2b419777501a6
5b5cc77fe4d2b419777501a6- 150 yearsfalse
- 270 yearstrue
- 360 yearsfalse
- 440 yearsfalse
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Answer : 2. "70 years"
Explanation :
Answer: B) 70 years Explanation: Let Kumar’s present age be "x" years and Sailesh’s present age be "y" years.Then, according to the first condition, x - 10 = 3(y - 10) => x - 3y = - 20 ........(1) Now, Kumar’s age after 10 years = (x + 10) years. Sailesh’s age after 10 years = (y + 10) years. (x + 10) = 2 (y + 10) => x - 2y = 10 ......(2) Solving (1) and (2), we get x = 70 and y = 30 Kumar’s present age = 70 years and Sailesh’s present age = 30 years.
Q: Suresh introduces a man as " He is the son of the woman who is the mother of the husband of my mother ". How is Suresh related to the man ? 3981 05b5cc6f1e4d2b4197774ef5e
5b5cc6f1e4d2b4197774ef5e- 1Son-in-lawfalse
- 2Cousinfalse
- 3Fatherfalse
- 4Sontrue
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Answer : 4. "Son"
Explanation :
Answer: D) Son Explanation:
Q: Study of the sun is called 3980 05b5cc6a2e4d2b4197774cb60
5b5cc6a2e4d2b4197774cb60- 1Coronagraphyfalse
- 2Seismographyfalse
- 3Helioseismologytrue
- 4Heliographyfalse
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Answer : 3. "Helioseismology"
Explanation :
Answer: C) Helioseismology Explanation: Helioseismology is the study of the solar interior using observations of waves on the Sun's surface. It has done much to improve our understanding of the interior of the Sun, testing the physical inputs used to model stellar interiors and providing a detailed map of the Sun's structure and internal rotation.
Q: Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ? a. Total amount invested in the business in Rs. 22,000. b. Profit earned at the end of 3 years is 3/8 of the total investment. c. The average amount of profit earned per year is Rs. 2750. 3978 05b5cc70be4d2b4197774f2e1
5b5cc70be4d2b4197774f2e1- 1Only c is sufficientfalse
- 2Both a & b are sufficientfalse
- 3Both A & B gives resulttrue
- 4Nonefalse
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Answer : 3. "Both A & B gives result"
Explanation :
Answer: C) Both A & B gives result Explanation: a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250. From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250. ∴ P's share = Rs.(8250 x 5/11) = Rs. 3750. Thus, (either C is redundant) or (a and b are redundant).
Q: A milkman claims to sell milk at its cost price, still, he is making a profit of 30% since he has mixed some amount of water in the milk. What is the % of milk in the mixture? 3977 05b5cc6bbe4d2b4197774d844
5b5cc6bbe4d2b4197774d844- 171.02%false
- 276.92%true
- 363.22%false
- 486.42%false
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Answer : 2. "76.92%"
Explanation :
Answer: B) 76.92% Explanation: Let the milk he bought is 1000 ml Let C.P of 1000 ml is Rs. 100 Here let he is mixing K ml of water He is getting 30% profit => Now, the selling price is also Rs. 100 for 1000 ml => 100 : K% = 100 : 30 10 : 3 is ratio of milk to water => Percentage of milk = 10 x 100/13 = 1000/13 = 76.92%