CAT Practice Question and Answer
8Q: What is the remainder when 1523+2323 is divided by 19 ? 1754 05b5cc77ae4d2b4197775014c
5b5cc77ae4d2b4197775014c- 14false
- 23false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: 1523+2323=19-423+19+423 The remainder on dividing by 19 will be -423+423= 0.
Q: A number divided by 296 leaves the remainder 75. If the same number is divided by 37, what will be the remainder ? 1411 05b5cc77ae4d2b41977750147
5b5cc77ae4d2b41977750147- 10false
- 21true
- 311false
- 48false
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Answer : 2. "1"
Explanation :
Answer: B) 1 Explanation: Let x be the number. Given: x = 296n + 75 [where n is quotient] --> (378n) +( 372 + 1) -->37(8n + 2) + 1 Hence, when x divided by 37, 1 is the remainder.
Q: Find the remainder when 1234 x 1235 x 1237 is divided by 8. 3407 05b5cc77ae4d2b41977750142
5b5cc77ae4d2b41977750142- 14false
- 22false
- 30false
- 46true
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Answer : 4. "6"
Explanation :
Answer: D) 6 Explanation: When we divide 1234 by 8, remainder is 2 When we divide 1235 by 8, remainder is 3 When we divide 1237 by 8, remainder is 5 ---> 2 x 3 x 5 = 30 As 30 will not be the remainder because it is greater than 8, when 30 divided by 8, remainder = 6.
Q: There is an empty reservoir whose capacity is 30 litres. There is an inlet pipe which fills at 5 L/min and there is an outlet pipe which empties at 4 L/min. Both the pipes function alternately for 1 minute. Assuming that the inlet pipe is the first one to function, how much time will it take for the reservoir to be filled up to its capacity? 11237 05b5cc77ae4d2b4197775013d
5b5cc77ae4d2b4197775013d- 149.5 minfalse
- 250 minfalse
- 351 mintrue
- 452 minfalse
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Answer : 3. "51 min"
Explanation :
Answer: C) 51 min Explanation: The work to be done = Capacity of reservoir = 30 litres. 1st Minute ---> inlet pipe opened ---> 5 lit filled 2nd minute ---> inlet pipe closed; outlet pipe opened ---> 4 lit emptied In 2 minutes (5 litres - 4 litres = 1lit) is filled into the reservoir. It takes 2 minutes to fill 1lit ---> it takes 50 minutes to fill 25 litres into the reservoir. In the 51st minute inlet pipe is opened and the reservoir is filled.
Q: An accurate clock shows 7 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon? 2991 05b5cc77ae4d2b41977750138
5b5cc77ae4d2b41977750138- 1144ºfalse
- 2168ºfalse
- 3180ºtrue
- 4150ºfalse
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Answer : 3. "180º"
Explanation :
Answer: C) 180º Explanation: Angle traced by the hour hand in 6 hours =360o12×6 = 180o.
Q: Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ? 1391 05b5cc777e4d2b419777500b6
5b5cc777e4d2b419777500b6- 140 kmfalse
- 250 kmfalse
- 370 kmfalse
- 480 kmtrue
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Answer : 4. "80 km"
Explanation :
Answer: D) 80 km Explanation: Let the total distance be 'x' km. Time taken to cover remaining 40% of x distance is t1=40×x100×48 But given time taken to cover first 60% of x distance is t2=t1+2060hrs t2=60×x100×48 ∴60×x100×48= 40×x100×48+2060 x=80 km.
Q: Veeru is the brother of the son of Raghu's son. Then what is the relationship of Veeru to Raghu ? 1171 05b5cc777e4d2b419777500ac
5b5cc777e4d2b419777500ac- 1Grand sontrue
- 2Brotherfalse
- 3Cousinfalse
- 4Nephewfalse
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Answer : 1. "Grand son"
Explanation :
Answer: A) Grand son Explanation:
Q: K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the end of the year, it was found that the income of L is twice that of K. Find the total profit for the year ? 7238 05b5cc777e4d2b4197775008e
5b5cc777e4d2b4197775008e- 1Rs.44000false
- 2Rs.46400true
- 3Rs.480800false
- 4Rs.46000false
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Answer : 2. "Rs.46400"
Explanation :
Answer: B) Rs.46400 Explanation: Interest received by L from K = 8% of half of Rs.40,000 ⇒8100×20000=1600 Amount received by L per annum for being a working partner = 1200 x 12 = Rs.14,400 Let 'A' be the part of remaing profit that 'L' receives as his share. Total income of 'K' = only his share from the reamaing profit = 'A', as both share equally. Given income of L = Twice the income of K --> (1600 + 14400 + A ) = 2A --> A= Rs.16000 Thus total profit = 2A + Rs.14,400= 2(16000) + 14400 = 32000 +14400 = Rs.46,400.