Instructions

For the following questions answer them individually

Question 1

A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was a four is

Question 2

A boat covers a distance of 30 kms downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in kms per hour?

Question 3

A five digit number is formed by using the digits 1, 2, 3, 4 and 5 without repetitions. What is the probability that the number is divisible by 4?

Question 4

If the algebraic sum of deviations of 20 observations measured from 23 is 70, mean of these observations would be

Question 5

An alloy of gold and silver weighs 50 gms. It contains 80% gold. How much gold should be added to the alloy so that percentage of gold is increased to 90?

Question 6

Weekly incomes of two persons are in the ratio of 7 : 3 and their weekly expenses are in the ratio of 5 : 2. If each of them saves Rs. 300 per week, then the weekly income of the first person is

Question 7

Wheat is now being sold at Rs. 27 per kg. During last month its cost was Rs. 24 per kg. Find by how much per cent a family reduces its consumption so as to keep the expenditure fixed.

Question 8

There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is

Question 9

The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by

Question 10

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

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