Instructions

For the following questions answer them individually

Question 51

Big Bang Theory cast wishes to find out the number of ways in which the word ASTRONAUT can be scrambled. They ﬁnd that the number of ways in which it can be put in an unscrambling puzzle is?

Question 52

Students of an MBA school have got together to constitute a fund where each student has contributed Rs. 10000. This group of 20 students laid down certain rules for investment where it was agreed that 50 percent of the fund would be invested in riskless government securities while the rest 50 percent would be invested in equities. At the end of the year the group realizes that the crash in the stock market has left them with zero return on equities but 1 percent dividend gain on the shares bought. The return on the riskless government

security has been 7.8 percent in the last year. If the gains are to be divided equally, the gain per student is

Question 53

In the figure given below, a Cylinder is inserted into a cone and the vertical height of the cone is 30 cm. The diameter of the cylinder is 8. What is the volume of the cone? The base of the cylinder and the base of the cone are on the same plane.

Question 54

Nisha went to buy three types of stationery products, each of them were priced at Rs. 5, Rs, 2 and Rs. 1 respectively. She purchased all three types of products in more than one quantity and gave Rs. 20 to the shopkeeper. Since the shopkeeper had no change with him/her; he/she gave Nisha three more products of price Rs. 1 each. Find out the number of products with Nisha at the end of the transaction.

Question 55

If the ratio of sides of a rectangle is 2 : 7 and perimeter is 360 m, then ﬁnd out its length and breadth.

Question 56

If the price of Sugar increases by 20%, and Salman intends to spend only an additional 5% on Sugar, then find out the percentage decrease in his sugar consumption.

Question 57

A man lends some money to his friend at 5% per annum of interest rate. After 2 years, the difference between the Simple and the compound interest on money is Rs. 50. What will be the value of the amount at the end of 3 years if compounded annually?

Question 58

Sham is trying to solve the expression:

$$\log \tan 1^\circ + \log \tan 2^\circ + \log \tan 3^\circ + ........ + \log \tan 89^\circ$$.

The correct answer would be?

Question 59

Sumit was doing a multiplication, but by mistake instead of taking 25 as one of the multiplier, he took 34. Now, because of this mistake, the answer was 405 more than the correct answer. Find out the answer that Sumit arrived at.

Question 60

How many different words can be formed with the word CUSTOM with a condition that the word should begin with M?

Assume that all words have 6 distinct letters.

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