Reasoning: Speed downstream = 70 + 20 = 90 kmph
Speed upstream = 70 - 20 = 50 kmph
Ans: (D)
Question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) kmph
(B) kmph
(C) kmph
(D) kmph
(E) kmph
Rationale: 2Worker 2pages 2minutes
1Worker 1page 2minutes
1worker 18pages 36minutes
Therefore to reduce the time by 6 times, workers should be increased by 6 times
The answer: (C)
Question: Two workers can type two pages in two minuets then how many persons can type 18 pages in 6 minuets
Options:
(A) 2Workers
(B) 3Workers
(C) 6Workers
(D) 7Workers
(E) 8Workers
Reasoning: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
Ans: (A)
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 6 min
(C) 8 min
(D) 2 min
(E) 9 min
Rationale: A prime factors are 3 and 11. 33<sqrt(99)? no
B prime factors are 2 and 7. 14<sqrt(98)? no
C prime number. its sqrt is never greater than itself
D A prime factors are 2 and 6. 6<sqrt(96)? yes
E prime factors are 5 and 19. 45<sqrt(95)? no
The answer: (D)
Question: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96
(E) 95
Reasoning: Increase = (20/50)*100 = 40%.
Ans: (E)
Question: John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 18%
(D) 21%
(E) 40%
Reasoning: The number of single digit numbers = 2
The number of 2 digit numbers = 2 3 = 6
The number of 3 digit numbers = 2 3 3 = 18
The number of 4 digit numbers = 2 3 3 3 = 54
The number of 5 digit numbers = 2 3 3 3 3 = 162
The number of 6 digit numbers = 2 3 3 3 3 3 = 486
Therefore, the total numbers = 728
Ans: (D)
Question: How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
Options:
(A) 496
(B) 486
(C) 1084
(D) 728
(E) 628