CAT Practice Question and Answer
8Q: Minute hand overlaps hour hand in 65 mins. In how many days it will gain 1440 hours ? 2045 05b5cc6f8e4d2b4197774f086
5b5cc6f8e4d2b4197774f086- 157 daysfalse
- 258 daysfalse
- 360 daystrue
- 461 daysfalse
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Answer : 3. "60 days"
Explanation :
Answer: C) 60 days Explanation: In this problem , it has considered that 65 mins = 1hr So mins has increased by 5 mins so multiply 5 x 24 = 120 mins extra ,That is now per day it adds 2hr extra, so divide 1440/26 = 59.384 days =~ 60 days.
Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 3198 15b5cc6f8e4d2b4197774f081
5b5cc6f8e4d2b4197774f081- 1120 daysfalse
- 2119 daysfalse
- 3118 daysfalse
- 4117 daystrue
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Answer : 4. "117 days"
Explanation :
Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.
Q: Find at what time between 9 and 10 o’clock will the hands of a clock be in 180° ? 1041 05b5cc6f8e4d2b4197774f07c
5b5cc6f8e4d2b4197774f07c- 1180/14 min past 10false
- 2180/11 min past 9true
- 3148/7 min past 10false
- 4154/11 min past 9false
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Answer : 2. "180/11 min past 9"
Explanation :
Answer: B) 180/11 min past 9 Explanation: At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. spaces apart.So, the minute hand should gain = (30 - 15) minutes = 15 minutes55 minutes will be gained in 60 min.15 minutes spaces will be gained in ((60/55) x 15) min. = 180/11 min.The hands will be in the same straight line but not together i.e.,in 180 degrees at 180/11 min. past 9.
Q: How much does a clock lose per day, if its hands coincide ever 65 minutes ? 2484 05b5cc6f8e4d2b4197774f077
5b5cc6f8e4d2b4197774f077- 11440/143 minfalse
- 2184/13 minfalse
- 31425/18 mintrue
- 4541/9 minfalse
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Answer : 3. "1425/18 min"
Explanation :
Answer: C) 1425/18 min Explanation: 55 min. spaces are covered in 60 min.60 min. spaces are covered in ((60/55) x 60) min = 720/11 min.Loss in 65 min. = (720/11 - 65 ) = 5/11Loss in 24 hrs = (5/11 x 1/65 x 24 x 60)min = 1440/143 min.
Q: The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ? 1296 05b5cc6f8e4d2b4197774f072
5b5cc6f8e4d2b4197774f072- 128false
- 219false
- 337false
- 417true
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Answer : 4. "17"
Explanation :
Answer: D) 17 Explanation: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.P + Q = 8 ----- (1)(10Q + P) - (10P + Q) = 549(Q - P) = 54(Q - P) = 6 ----- (2)Solve (1) and (2) P = 1 and Q = 7The required number is = 17
Q: Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ? 1978 05b5cc6f8e4d2b4197774f06d
5b5cc6f8e4d2b4197774f06d- 184 yrsfalse
- 296 yrsfalse
- 3116 yrsfalse
- 4108 yrstrue
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Answer : 4. "108 yrs"
Explanation :
Answer: D) 108 yrs Explanation: Let the present ages of the mother and daughter be 2x and x years respectively. Then, (2x - 18) = 3(x - 18) => x = 36 Required sum = (2x + x) = 108 years.
Q: Niligiri Tahr is the state animal of which of the following states ? 1532 05b5cc6f8e4d2b4197774f063
5b5cc6f8e4d2b4197774f063- 1Tamil Nadutrue
- 2Karnatakafalse
- 3Maharashtrafalse
- 4Keralafalse
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Answer : 1. "Tamil Nadu"
Explanation :
Answer: A) Tamil Nadu Explanation:
Q: In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ? 3448 05b5cc6f8e4d2b4197774f068
5b5cc6f8e4d2b4197774f068- 114thfalse
- 216thfalse
- 318thtrue
- 420thfalse
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Answer : 3. "18th"
Explanation :
Answer: C) 18th Explanation: Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.