CAT Practice Question and Answer
8Q: A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ? 2043 05b5cc741e4d2b4197774f99a
5b5cc741e4d2b4197774f99a- 188572true
- 277854false
- 399584false
- 455654false
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Answer : 1. "88572"
Explanation :
Answer: A) 88572 Explanation: Given a secret is told to 3 persons in 3 minutes.And if the process continues with each person saying 3 other persons,In 30 minutes => the rocess for 10 times because each person time is 3 minutes.Required number of persons = 3 + 32 + 33 + .... + 39 + 310 Now it forms a geometric progression, Sum to n terms is S = arn - 1r - 1 Here a = 3, r = 3 => 59048 x 3 /2 = 88572.
Q: If 78K928L is divisible by 6, then which of the following can Q and R take ? 5891 05b5cc741e4d2b4197774f995
5b5cc741e4d2b4197774f995- 1K=2 & L=3false
- 2K=1 & L=4true
- 3K=1 & L=2false
- 4K=3 & L=3false
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Answer : 2. "K=1 & L=4"
Explanation :
Answer: B) K=1 & L=4 Explanation: As per divisibility rule a number is divisible by 6 means it should be divisible by 2 and 3 case 1 : the divisibility rule for 2 is the number should be end with even number in this case R =2 & R=4 case 2 : The divisibility rule for 3 is the sum of numbers should be divisible by 3so if we take option (2) Q=1 & R=4 the sum is 39 if we take option (3) Q=1 & R=2 the sum is 37 So Option (2) is correct 39 is divided by 3
Q: M and N have children A and B.F is spouse of B.D is child of F.P is son in law of N.K is kid of P. Who is male chiled of M and N ? 7526 05b5cc741e4d2b4197774f990
5b5cc741e4d2b4197774f990- 1Btrue
- 2Afalse
- 3Nonefalse
- 4Can't be determinedfalse
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Answer : 1. "B"
Explanation :
Answer: A) B Explanation: Spouse means a person's partner in marriage, it can be male or female.But given F is spouse of BAnd P is Son in law of NRelation between F and BRelation between P and A onlyand p is male So, A must be female=> B is male child.
Q: ………….being poor, Kavitha still dresses more appropriately than most of her friends. 12325 05b5cc741e4d2b4197774f98b
5b5cc741e4d2b4197774f98b- 1Althoughfalse
- 2Inspitefalse
- 3Sincefalse
- 4Despitetrue
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Answer : 4. "Despite"
Explanation :
Answer: D) Despite Explanation: Despite, Its meaning is "without effected by ", without effecting by their poverty, Kavitha still dresses more appropriately than most of her friends.
Q: The average temperature of Monday to Wednesday was 37 C and of Tuesday to Thursday was 34 C. If the temperature on Thursday was 4/5 th of that of Monday, the temperature on Thursday was ? 1707 05b5cc741e4d2b4197774f986
5b5cc741e4d2b4197774f986- 135 cfalse
- 236 ctrue
- 334 cfalse
- 432 cfalse
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Answer : 2. "36 c"
Explanation :
Answer: B) 36 c Explanation: Monday + Tuesday + Wednesday = 37 x 3 -----------(1)Tuesday + Wednesday + Thursday = 34 x 3---------(2)Thursday = 4/5 of Monday ------------------(3)subtract eqn (1) from (2) we get,Thursday - Monday = -9 => Monday - Thursday = 9.......(4)From (3) & (4), we get So,Thursday = 36 C
Q: On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ? 2836 05b5cc741e4d2b4197774f981
5b5cc741e4d2b4197774f981- 184 yearstrue
- 272 yearsfalse
- 382 yearsfalse
- 464 yearsfalse
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Answer : 1. "84 years"
Explanation :
Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84
Q: The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya’s leave request will be approved ? 5741 05b5cc741e4d2b4197774f97c
5b5cc741e4d2b4197774f97c- 11false
- 21/5true
- 35false
- 44/5false
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Answer : 2. "1/5"
Explanation :
Answer: B) 1/5 Explanation: Number of applicants = 5On a day, only 1 leave is approved.Now favourable events = 1 of 5 applicants is approvedProbability that Laxmi priya's leave is granted = 1/5.
Q: A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ? 3186 05b5cc73de4d2b4197774f972
5b5cc73de4d2b4197774f972- 1Rs. 1800false
- 2Rs. 2000false
- 3Rs. 1400false
- 4Rs. 1250true
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Answer : 4. "Rs. 1250"
Explanation :
Answer: D) Rs. 1250 Explanation: 2500 in 5th year and 3000 in 7th year So in between 2 years Rs. 500 is increased => for a year 500/2 = 250So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250Hence, the initial amount must be 2500 - 1250 = Rs. 1250