Kalpesh Sharma

***. Find the least number when divided by 7 gives the reminder 6, when divided by 6 gives reminder 5, when divided by 5 gives reminder 4 and so on....

Ans. 419

***. If a person walks at 4/5th of his usual speed he reaches 40min late. If he walks at his usual speed how much time does he travels.

Ans. 160min

Ex. Let V = his speed, D = distance and T = time so V=D/T (1)
But, (4/5)*V=D/(T+40) (2)

Comparing D, (4/5)*V*(T+40) = V*T solving T=160

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***. Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrives at their destination 1 hr and 4 hours respectively after passing each other. How much faster is one train from other?

Ans. Twice

***. A train and A Cyclist reach a station every day at the same time. One day the Cyclist starts 20 minutes late from his house. On his way to station the train crosses him at 5 miles before station. The speed of cyclist is 12mph. find the speed of the train.

Ans.60mph

***. Every day a cyclist meets a train at a particular crossing. The road is straight. The cyclist travels with a speed of 10 kmph. One day the cyclist comes late by 25 min and meets the train 5 km from the crossing. What is the speed of the train?

Ans. 60 kmph.

***. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?

Ans. Brand A needed is 24kgs.

***. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC?

Ans. BC = 4 cm.

***. Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.

Ans. 64/2210.