Amcat-Q16: Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 40 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?A. 22 hr
B. 16 hr
C. 28 hr
D. 32 hr
Answer : C
Amcat-Q17: Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?
A. 30
B. 45
C. 60
D. 80
Answer : C
Amcat-Q18: How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
A. 720
B. 420
C. None of these
D. 5040
Answer : A
Amcat-Q19: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
A. None of these
B. 720
C. 420
D. 122
Answer : B
Amcat-Q20: A coin is tossed 3 times. Find out the number of possible outcomes.
A. None of these
B. 1
C. 2
D. 8
Answer : D
Amcat-Q21: In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?
A. None of these
B. 64
C. 120
D. 36
Answer : D
Amcat-Q22: Q54. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
A. 64
B. 128
C. 32
D. None of these
Answer : A
Amcat-Q23: What is the HCF of 13, 23 and 14 ?
A. 2/3
B. 1/3
C. 1/4
D. 1/12
Answer : D
Amcat-Q24: Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
A. 2 : 3
B. 2 :1
C. 4 : 3
D. 3 : 2
Answer : C
Amcat-Q25: A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
A. 3 min
B. 4.2 min
C. 3.4 min
D. 5.5 min
Answer : A
B. 16 hr
C. 28 hr
D. 32 hr
Answer : C
Amcat-Q17: Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?
A. 30
B. 45
C. 60
D. 80
Answer : C
Amcat-Q18: How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
A. 720
B. 420
C. None of these
D. 5040
Answer : A
Amcat-Q19: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
A. None of these
B. 720
C. 420
D. 122
Answer : B
Amcat-Q20: A coin is tossed 3 times. Find out the number of possible outcomes.
A. None of these
B. 1
C. 2
D. 8
Answer : D
Amcat-Q21: In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?
A. None of these
B. 64
C. 120
D. 36
Answer : D
Amcat-Q22: Q54. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
A. 64
B. 128
C. 32
D. None of these
Answer : A
Amcat-Q23: What is the HCF of 13, 23 and 14 ?
A. 2/3
B. 1/3
C. 1/4
D. 1/12
Answer : D
Amcat-Q24: Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
A. 2 : 3
B. 2 :1
C. 4 : 3
D. 3 : 2
Answer : C
Amcat-Q25: A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
A. 3 min
B. 4.2 min
C. 3.4 min
D. 5.5 min
Answer : A