Mathematics (F.Sc)

Q: If 0 < a < b < 1 which of the following is (are) true I- a-b is negative II- 1/ab is positive III- 1/b-1/a is positive

(a) :  I only
(b) :  II only
(c) :  III only
(d) :  I & II only
(e) :  I II & III
Answer:  I II & III
Explanation:  

Q: A boat travels at the speed of 25 km/h upstream and 35 km/h downstream. Find the speed of water.

(a) :  3
(b) :  1
(c) :  2 km/h
(d) :  5 km/h
(e) :  none
Answer:  5 km/h
Explanation:  

Q: A can complete a piece of work in 16 days and B can complete it in 20 days. They start working together. Two days before the completion of the work A leaves. Work is completed in

(a) :  10 days
(b) :  8 days
(c) :  6.4 days
(d) :  11 days
(e) :  none
Answer:  10 days
Explanation:  

Q: A garrison has provisions for 40 days. At the end of 5 days half of the men left the garrison. How long the food will last for?

(a) :  45 days
(b) :  35 days
(c) :  70 days
(d) :  80 days
(e) :  none
Answer:  70 days
Explanation:  

Q: How many numbers are there in four digit no whose all digits are prime.

(a) :  225
(b) :  256
(c) :  189
(d) :  200
(e) :  none
Answer:  256
Explanation:  

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