CAT Practice Question and Answer
8Q: In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects? 3641 15b5cc601e4d2b4197774b440
5b5cc601e4d2b4197774b440- 120%true
- 225%false
- 330%false
- 415%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "20%"
Explanation :
Answer: A) 20% Explanation: Percentage of students passed in English = 60% Percentage of students passed in Hindi = 45% Percentage of students passed in both subjects = 25% ATQ, Percentage of students passed in only English = 60 - 25 = 35% Percentage of students passed in only Hindi = 45 - 25 = 20% Therefore, Percentage of students failed = 100 - (35 + 25 + 20) = 100 - 80 = 20%.
Q: Minimum number of straight lines required to form the below figure ? 3639 05b5cc76fe4d2b4197774ff2b
5b5cc76fe4d2b4197774ff2b- 118false
- 217false
- 314true
- 416false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "14"
Explanation :
Answer: C) 14 Explanation: The given figure can be labelled as shown : The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.The vertical lines are AE, LF and KG i.e. 3 in number.The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.
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. 3636 05b5cc70be4d2b4197774f2e1
5b5cc70be4d2b4197774f2e1- 1Only c is sufficientfalse
- 2Both a & b are sufficientfalse
- 3Both A & B gives resulttrue
- 4Nonefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
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: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is ? 3628 05b5cc6ebe4d2b4197774ee78
5b5cc6ebe4d2b4197774ee78- 11.44% losstrue
- 214.4% lossfalse
- 30%false
- 414.4% profitfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "1.44% loss"
Explanation :
Answer: A) 1.44% loss Explanation: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%
Q: The average age of a class is 19 years. While the average age of girls is 18 and that of boys is 21. If the number of girls in the class is 16, Find the number of Boys in the class? 3622 05b5cc6bce4d2b4197774d8a2
5b5cc6bce4d2b4197774d8a2- 112false
- 210false
- 38true
- 46false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "8"
Explanation :
Answer: C) 8 Explanation: Let the number of boys = x From the given data, => [21x + 16(18)]/(x+16) = 19 => 21x - 19x = 19(16) - 16(18) => 2x = 16 => x = 8 Therefore, the number of boys in the class = 8.
Q: Which is the World's Fastest SUPERCOMPUTER and to which country it belongs ? 3622 25b5cc6c5e4d2b4197774dd5f
5b5cc6c5e4d2b4197774dd5f- 1JAGUAR --- ENGLANDfalse
- 2PARAM YUVA 2 --- INDIAfalse
- 3CRAY-1 --- ENGLANDfalse
- 4TIANHE 2 --- CHINAtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "TIANHE 2 --- CHINA"
Explanation :
Answer: D) TIANHE 2 --- CHINA Explanation:
Q: Two old friends, Jack and Bill, meet after a long time. Jack: Hey, how are you man? Bill: Not bad, got married and I have three kids now Jack: That’s awesome. How old are they?Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date. Jack: Cool … But I still don’t know.Bill : My eldest kid just started taking piano lessons. Jack: Oh now I get it.How old are Bill’s kids ? 3618 05b5cc718e4d2b4197774f4c2
5b5cc718e4d2b4197774f4c2- 13, 3, 8true
- 22, 6, 6false
- 31, 6, 12false
- 41, 8, 9false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "3, 3, 8"
Explanation :
Answer: A) 3, 3, 8 Explanation: Let’s break it down. The product of their ages is 72. So what are the possible choices? 2, 2, 18 – sum(2, 2, 18) = 222, 4, 9 – sum(2, 4, 9) = 152, 6, 6 – sum(2, 6, 6) = 142, 3, 12 – sum(2, 3, 12) = 173, 4, 6 – sum(3, 4, 6) = 133, 3, 8 – sum(3, 3, 8 ) = 141, 8, 9 – sum(1,8,9) = 181, 3, 24 – sum(1, 3, 24) = 281, 4, 18 – sum(1, 4, 18) = 231, 2, 36 – sum(1, 2, 36) = 391, 6, 12 – sum(1, 6, 12) = 19 The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now. 2, 6, 6 – sum(2, 6, 6) = 143, 3, 8 – sum(3, 3, 8 ) = 14 Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.
Q: 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 ? 3609 05b5cc6e5e4d2b4197774ed1a
5b5cc6e5e4d2b4197774ed1a- 121 mintrue
- 224 minfalse
- 320 minfalse
- 422 minfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
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.