CAT Practice Question and Answer
8Q: A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days ? 891 05b5cc6f4e4d2b4197774f00e
5b5cc6f4e4d2b4197774f00e- 151/24false
- 287/5false
- 357/12false
- 460/11true
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Answer : 4. "60/11"
Explanation :
Answer: D) 60/11 Explanation: A can complete the work in 12 days working 8 hours a day => Number of hours A can complete the work = 12×8 = 96 hours => Work done by A in 1 hour = 1/96 B can complete the work in 8 days working 10 hours a day => Number of hours B can complete the work = 8×10 = 80 hours => Work done by B in 1 hour = 1/80 Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480 => A and B can complete the work in 480/11 hours A and B works 8 hours a day. Hence total days to complete the work with A and B working together = (480/11)/ (8) = 60/11 days
Q: A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? 1697 15b5cc6f4e4d2b4197774f013
5b5cc6f4e4d2b4197774f013- 114 cmfalse
- 213.5 cmfalse
- 312.5 cmtrue
- 411.4 cmfalse
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Answer : 3. "12.5 cm"
Explanation :
Answer: C) 12.5 cm Explanation: Let the required height of the building be x meter More shadow length, More height(direct proportion) Hence we can write as (shadow length) 40.25 : 28.75 :: 17.5 : x⇒ 40.25 × x = 28.75 × 17.5⇒ x = 28.75 × 17.5/40.25= 2875 × 175/40250= 2875 × 7/1610= 2875/230= 575/46= 12.5 cm
Q: A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? 2460 05b5cc6f4e4d2b4197774f004
5b5cc6f4e4d2b4197774f004- 124 - 1false
- 22425-1false
- 3(24-1)(23-1)25true
- 4Nonefalse
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Answer : 3. "(24-1)(23-1)25"
Explanation :
Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects. Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection. Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls. Hence, number of ways in which we can select the black balls = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A) Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection. Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B) Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls. Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C) From (A), (B) and (C), required number of ways= 2524-123-1
Q: Name the first state Police Officer of Nagaland who has been awarded one of the nations' military honour, ‘Shaurya Chakra’, in 2017 by the Government of India. 1401 05b5cc6f4e4d2b4197774eff5
5b5cc6f4e4d2b4197774eff5- 1SomviBihufalse
- 2Jong Kayifalse
- 3Nara Karomfalse
- 4AtuZumvutrue
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Answer : 4. "AtuZumvu"
Explanation :
Answer: D) AtuZumvu Explanation: For the first time since Nagaland officially gained recognition as a state, a state Police Officer AtuZumvu has been awarded one of the nations' military honour, ‘Shaurya Chakra’.
Q: Read the following information carefully and answer the questions given below it. There are five men A,B,C,D and E and six women P, Q, R, S, T and U. A, B and R are advocates, C, D, P, Q and S are doctors and the rest are teachers. Some teams are to be selected from amongst these eleven persons subject to the following conditions. A, P and U have to be together. B cannot go with D or R. E and Q have to be together. C and T have to be together. D and P cannot go together. C cannot go with Q. If the team is to consist of two male advocates, two lady doctors and one teacher, the members of team are 2341 05b5cc6f4e4d2b4197774effa
5b5cc6f4e4d2b4197774effa- 1A, P, R, S, Ufalse
- 2A, B, P, Q, Ufalse
- 3B, E, Q, R, Sfalse
- 4A, B, P, U, Strue
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Answer : 4. "A, B, P, U, S"
Explanation :
Answer: D) A, B, P, U, S Explanation: From the given information; Members Sex Profession A M Advocate Q F Doctor B M Advocate R F Advocate C M Doctor S F Doctor D M Doctor T F Teacher E M Teacher U F Teacher P F Doctor Answer (D) From option (D) A and B are two male advocates, P and S are two female doctors and u is female teacher.
Q: If the age of father is 4 years greater than the mother and 28 years greater than the son,then what is the age of the father? which one should be used to calculate the age ? 1440 05b5cc6f4e4d2b4197774eff0
5b5cc6f4e4d2b4197774eff0- 1mother/son = Non-prime numberfalse
- 2mother/son = Perfect square number A) only A alone is sufficient B) only B alone is sufficienttrue
- 3both A and B are requiredfalse
- 4A) only A alone is sufficient B) only B alone is sufficient C) both A and B are required D)false
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Answer : 2. "mother/son = Perfect square number
A) only A alone is sufficient
B) only B alone is sufficient"
Explanation :
Answer: B) only B alone is sufficient Explanation: For the given problem there are three possiblities.Father's age can be = 36, 31, 29Mother's age = 32, 27, 25Son's age = 8, 3, 1. By using only B it can be calculated.
Q: Three of the following four are alike in certain way and hence form a group. Which one of the following does not belong to that group ? 7859 05b5cc6f4e4d2b4197774efeb
5b5cc6f4e4d2b4197774efeb- 1BHFfalse
- 2LDJfalse
- 3OKGtrue
- 4ZTYfalse
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Answer : 3. "OKG"
Explanation :
Answer: C) OKG Explanation: OKGRemaining all are not in series only OKG is in series of(15,11,7) Here it follows the random difference of '4'.
Q: In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ? 1377 05b5cc6f4e4d2b4197774efe6
5b5cc6f4e4d2b4197774efe6- 1138 to 164false
- 2125 to 147false
- 3148 to 158false
- 4152 to 164true
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Answer : 4. "152 to 164"
Explanation :
Answer: D) 152 to 164 Explanation: A+7B=112 it is clear that A = 14, then it becomes A>=B, but A is smallest angle) givenso, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

