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Problems on HCF and LCM ,Time and distance [C SEC]

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Professional Aptitude Quiz on Problems on HCF and LCM ,Time and distance [C SEC], created by Aptitude Final CSE on 26/07/2016.
Aptitude Final CSE
Quiz by Aptitude Final CSE, updated more than 1 year ago
Aptitude Final CSE
Created by Aptitude Final CSE over 8 years ago
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Resource summary

Question 1

Question
Arrange the words given below in a meaningful sequence. 1. Word 2. Paragraph 3. Sentence 4. Letters 5. Phrase
Answer
  • A. 4, 1, 5, 2, 3
  • B. 4, 1, 3, 5, 2
  • C. 4, 2, 5, 1, 3
  • D. 4, 1, 5, 3, 2

Question 2

Question
Arrange the words given below in a meaningful sequence. 1. Yarn 2. Plant 3. Saree 4. Cotton 5. Cloth
Answer
  • A. 2, 4, 5, 1, 3
  • B. 2, 4, 3, 5, 1
  • C. 2, 4, 1, 5, 3
  • D. 2, 4, 5, 3, 1

Question 3

Question
If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?
Answer
  • A. Q - N + M x P
  • B. P + S x N - Q
  • C. P - M + N x Q
  • D. Q - S % P

Question 4

Question
If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?
Answer
  • A. M - N x C + F
  • B. F - C + N x M
  • C. N + M - F x C
  • D. M x N - C + F

Question 5

Question
Introducing a woman, Shashank said, "She is the mother of the only daughter of my son." How that woman is related to Shashank?
Answer
  • A. Daughter
  • B. Sister-in-law
  • C. Wife
  • D. Daughter-in-law

Question 6

Question
A song always has
Answer
  • A. Word
  • B. Chorus
  • C. Musician
  • D. Tymbal

Question 7

Question
Yesterday I saw an ice cube which had already melted due to heat of a nearby furnace.
Answer
  • A. Always
  • B. Never
  • C. Often
  • D. Sometimes

Question 8

Question
EMBEZZLE
Answer
  • A. Misappropriate
  • B. Balance
  • C. Remunerate
  • D. Clear

Question 9

Question
Synonyms AUGUST
Answer
  • A. Common
  • B. Ridiculous
  • C. Dignified
  • D. Petty

Question 10

Question
Synonyms: CANNY
Answer
  • A. Obstinate
  • B. Handsome
  • C. Clever
  • D. Stout

Question 11

Question
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Answer
  • 4
  • 7
  • 9
  • 13

Question 12

Question
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
Answer
  • 4
  • 5
  • 6
  • 8

Question 13

Question
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Answer
  • 9000
  • 9400
  • 9800
  • 9600

Question 14

Question
Find the HCF of 2^2 ×3^2×7^2, 2×3^4×7
Answer
  • 128
  • 126
  • 146
  • 434

Question 15

Question
What will be the LCM of 8, 24, 36 and 54
Answer
  • 54
  • 108
  • 216
  • 432

Question 16

Question
What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
Answer
  • 196
  • 630
  • 1260
  • 2520

Question 17

Question
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
Answer
  • 12
  • 16
  • 24
  • 48

Question 18

Question
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Answer
  • 1008
  • 1015
  • 1032
  • 1022

Question 19

Question
252 can be expressed as a product of primes as:
Answer
  • 2 x 2 x 3 x 3 x 7
  • 3 x 3 x 3 x 3 x 7
  • 2 x 3 x 3 x 3 x 7

Question 20

Question
Find the lowest common multiple of 24, 36 and 40.
Answer
  • 120
  • 240
  • 360
  • 480

Question 21

Question
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
Answer
  • 3
  • 13
  • 23
  • 33

Question 22

Question
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Answer
  • 1677
  • 1683
  • 2523

Question 23

Question
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
Answer
  • 26 minutes and 18 seconds
  • 42 minutes and 36 seconds
  • 45 minutes
  • 46 minutes and 12 seconds

Question 24

Question
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Answer
  • 40
  • 80
  • 120
  • 200

Question 25

Question
The G.C.D. of 1.08, 0.36 and 0.9 is:
Answer
  • 0.03
  • 0.9
  • 0.18
  • 0.108

Question 26

Question
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Answer
  • 1
  • 2
  • 3
  • 4

Question 27

Question
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:
Answer
  • 300
  • 360
  • 600
  • 720

Question 28

Question
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Answer
  • 50
  • 56
  • 70
  • 80

Question 29

Question
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
Answer
  • 100kmph
  • 110kmph
  • 120kmph
  • 130kmph

Question 30

Question
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Answer
  • 9
  • 10
  • 12
  • 20

Question 31

Question
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Answer
  • 1 hr
  • 2 hr
  • 3 hr
  • 4 hr

Question 32

Question
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Answer
  • 220
  • 224
  • 230
  • 234

Question 33

Question
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
Answer
  • 70
  • 75
  • 84
  • 87.5

Question 34

Question
A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.
Answer
  • 17
  • 25
  • 30
  • 35

Question 35

Question
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Answer
  • 35.55 km/hr
  • 35km/hr
  • 71.11km/hr
  • 71km/hr

Question 36

Question
A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
Answer
  • 5
  • 6
  • 6.25
  • 7.5

Question 37

Question
In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Answer
  • 5
  • 6
  • 6.25
  • 7.5

Question 38

Question
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
Answer
  • 8
  • 11
  • 12
  • 14

Question 39

Question
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
Answer
  • 2:3
  • 3:2
  • 3:4
  • 4:3

Question 40

Question
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
Answer
  • 14 km
  • 15 km
  • 16 km
  • 17 km
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