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1. The angles of elevation of the top of a tower, from the top and the foot
of a pole of height 10 m are 30° and 60° respectively. The height of the tower
is:

(1)  20 m         (2) 15 m          (3)
10 m         (4)  None of these

2. A person standing on the bank of a river finds that the angle of
elevation of the top of a tower on the opposite bank is 45°. Then which of the
following statements is correct?

(1)  Breadth of the river is half of
the height of the tower.

(2)  Breadth of the river and the
height of the tower are the same.

(3) Breadth of the river is twice the height of the tower.

(4)  None of these

3. A person standing on the bank of a river observes that the angle of
elevation of the top of a tree on the opposite bank of the river is 60° and
then he retires 40 metres away from the tree the angle of elevation becomes
30°. The breadth of the river is:

(1) 20 m          (2) 30 m          (3) 40 m          (4) 60 m

4. A class consists of 100 students, 25 of them are girls and 75 boys; 20
of them are rich and remaining poor; 40 of them are fair complexioned. The
probability of selecting a fair complexioned rich girl is:

(1) 0.05            (2) 0.04           (3) 0.02            (4) 0.08

5. A box contains 5 brown and 4 white socks. A man takes out two socks. The
probability that they are of the same colour is:

(1) 5/18           (2) 1/6             (3) 5/108         (4) 4/9

6. India plays two matches each with West Indies and Australia. In any
match the probabilities of India getting points 0, 1, 2 are 0.45, 0.05 and 0.50
respectively. Assuming that outcomes are independent, the probability of India
getting at least 7 points is:

(1) 0.0624             (2) 0.06875           (3) 0.8750             (4) 0.0250

7. Out of 13 applications for a job, there are 5 women and 8 men. It is
desired to select 2 persons for the job. The probability that at least one of
the selected persons will be a woman is:

(1) 5/13                (2) 14/39            (3) 25/39                     (4)
10/13

8. At the college entrance examination each candidate is admitted or
rejected according to whether he has passed or failed the tests. Of the
candidates who are really capable, 80% pass the tests and of the incapable, 25%
pass the test. Given that 40% of the candidates are really capable, then the
proportion of capable college students is about:

(1) 73%            (2) 70%            (3) 68%            (4) 75%

9. In an examination, there were 2000 candidates, out of which 900
candidates were boys and rest were girls. If 32% of the boys and 38% of the
girls passed, then the total percentage of failed candidates is:

(1) 68.5%         (2) 64.7%         (3) 35.3%         (4) 70%

10. From the salary of an officer, 10% is deducted as house rent, 15% of
the rest he spends on children’s education and 10% of the balance, he spends on
clothes. After this expenditure he is left with Rs 1377. His salary is:

(1) Rs 2100                  (2)  Rs 2040                 (3)
Rs 2000                  (4)  Rs 2200

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