MAT 2002

Instructions

For the following questions answer them individually

Question 41

In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?

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Question 42

Shatabadi Express has a capacity of 500 seats of which 10% are in the Executive Class and the rest being Chair Cars. During one journey, the train was booked to 85% of its capacity. If Executive Class was booked to 96% of its capacity, then how many Chair Car seats were empty during that journey?

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Question 43

A person pays Rs. 975 in monthly instalments, each monthly instalment being less than the former by Rs. 5. The amount of the first instalment is Rs. 100. In what time, will the entire amount be paid?

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Question 44

p% of a number P is q% more than r% of the number R. If the difference between P and R is r% of R and if the sum of P and is 210, then which of the following statements is always true ?

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Question 45

A vessel is fully filled with a special liquid. Four litres of liquid is drawn out of this vessel and is replaced with water. If the ratio of the special liquid to the water becomes 1 : 2, then what is the capacity of the vessel?

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Question 46

The weight of a solid cone having diameter 14 cm and vertical height 51 cm is ..........., if the material of solid cone weighs 10 grams per cubic cm.

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Question 47

A box contains 10 balls out of which 3 are red and the rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?

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Question 48

‘A’ wants to secure an annual income of Rs. 1500 by investing in 15% debentures of face value Rs. 100 each and available for Rs. 104 each. If the brokerage is 1%, then the sum of money he should invest is

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Question 49

A cycle agent buys 30 bicycles, of which 8 are first grade and the rest are second grade, for Rs. 3150. Find at what price he must sell the first grade bicycles so that if he sells the second grade bicycles at three quarters of the price, he may make a profit of 40% on his outlay?

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Question 50

If $$\log_{x} a,  a^{\frac{x}{2}} and  \log b  x$$ are in GP then $$x$$ is

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