Quantitative Aptitude Practice Question and Answer
8Q: Four ladies A, B, C and D and four gentlemen E, F, G and H are sitting in a circle round a table facing each other. Directions: (1) No two ladies or two gentlemen are sitting side by side. (2) C, who is sitting between G and E is facing D. (3) F is between D and A and is facing G. (4) H is to the right of B. Question: 1. Who are immediate neighbours of B? 2. E is facing whom? 10906 05b5cc77ae4d2b41977750156
5b5cc77ae4d2b41977750156- 1G & H , Htrue
- 2F & H , Bfalse
- 3E & F , Ffalse
- 4E & H , Gfalse
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Answer : 1. "G & H , H"
Explanation :
Answer: A) G & H , H Explanation: From the directions given : From the fig. it is clear that 1) neighbours of B are G , H. 2) E is facing H.
Q: How many remainders are possible if 16n is divided by 9 for any positive integral value of n ? 2021 05b5cc77ae4d2b41977750151
5b5cc77ae4d2b41977750151- 11false
- 22false
- 33true
- 44false
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Answer : 3. "3"
Explanation :
Answer: C) 3 Explanation: When 16nis divided by 9, we have 1619, remainder = 7 1629, remainder = 4 1639, remainder = 1 1649, remainder = 7 1659, remainder = 4 1669, remainder = 1 So, we have cyclicity of 3 factors i.e 7,4,1. Hence only 3 remainders are possible.
Q: 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: At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other? A. 5111 B. 15415 C. 16411 D. 4415 1309 05b5cc77ae4d2b41977750133
5b5cc77ae4d2b41977750133- 1Option Afalse
- 2Option Bfalse
- 3Option Ctrue
- 4Option Dfalse
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Answer : 3. "Option C"
Explanation :
Answer: C) Option C Explanation: At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand. To be coincident, it must gain 15 min. spaces. 55 min. are gained in 60 min. Then 15 min spaces are gained in = 6055×15 min. Therefore, The hands are coincident at 16411 min. past 3 o'clock.