Wednesday, July 5, 2017

Maths from HSSC Question Papers 2017

1. After Jeevan gave Rs. 12 to Hamid and Hamid gave Rs. 4 to Jeevan, both had equal amounts with them. Who had the smaller amount initially and by how much ?
(A) Hameed by Rs. 16 (B) Jeevan by Rs. 4
(C) Hameed by Rs. 12 (D) Jeevan by Rs. 8
Ans. Hameed by Rs. 16
2. What are the elements of the secondary diagonal of the matrix
      1 4 7
M= 2 5 8
      3 6 9
(A) 7, 5, 3 (B) 1, 5, 9 (C) 4, 5, 6 (D) 2, 5, 8
Ans. 7, 5, 3 
3. The ratio between the volumes of two spheres is 27 : 8. What is the ratio between their surface areas ?
(A) 9 : 4 (B) 6 : 4 (C) 3 : 2 (D) None of these
Ans. 9:4
4. The Geometric mean between 7 and 28 is
(A) 11 (B) 12 (C) 13 (D) 14
Ans. 14
5. How much should a man invest in Rs. 50 shares selling at Rs. 60 to obtain an annual income of Rs. 900 if the dividend declared is 15% ?
(A) Rs.9,000 (B) Rs. 7,500 (C) Rs. 7,200 (D) None of these
Ans. 7200
6. Find the compound interest on Rs.5,000 for 2 years at 10%.
(A) Rs. 1,000 (B) Rs. 1,500 (C) Rs. 1,050 (D) None of these
Ans. 1050
7. A man bought 500 shares of face value of Rs. 10 and during the first year after purchase receives Rs. 400 as dividend on his shares. Find the rate of dividend on his shares.
(A) 8% (B) 12% (C) 10% (D) 15%
Ans. 8%
8. The sum of the first ‘n’ natural numbers is 496. Find ‘n’.
(A) 30 (B) 32 (C) 31 (D) 33
Ans. 31
9. H. C. F. of 4/5, 5/6 and 9/10 is
(A)1/6 (B) 5/24 (C)9/10 (D) 1/30
Ans. 1/30
10. Under-root 49/? = 21/36
(A) 84 (B) 12
(C) 64 (D) 144
Ans. 144
10. 92 ÷ 8 ÷ 2 = ?
(A) 5.25 (B) 4.25 (C) 5.75 (D) 4.75
Ans. 5.75
11. If all the numbers from 501 to 599 are written, what is the total number of times does the digit 6 appear ?
(A) 11 (B) 12 (C) 20 (D) None of these
Ans. 20
12. Using the digits 3, 2, 5, 6, 9, how many three digit even numbers can be made without repetition ?
(A) 10 (B) 24 (C) 60 (D) None of these
Ans. 24
13. 5 years ago, the average age of A, B, C and D was 45. With E joining them now, the average age of all the five is 49 years. How old is E ?
(A) 64 years (B) 45 years (C) 25 years (D) 40 years
Ans. 45 Years 
14. The length and breadth of a rectangle are 8 cm and 6 cm respectively. Find
the length of its diagonal.
(A) 12 cm (B) 11 cm
(C) 10 cm (D) 9 cm
Ans. 10 cm
15. When a book is sold for Rs. 60, there is a profit of Rs. 10. What is the percentage of profit ?
(A) 20% (B) 16.25%
(C) 12% (D) 15%
Ans. 20%
16. 80/? = ?/20
(A) 50 (B) 40
(C) 30 (D) 20
17. ?% of 150= 40
(A) 3/80 (B) 5/80 (C) 26-2/3 (D) 3-3/4
Ans. 26-2/3
18. The market value of a share of 􀀀 100 is 􀀀 120. A person invests 􀀀 24,000 in
this share. If the dividend declared is 10%, what is his earnings in that year ?
(A) 􀀀 2,200 (B) 􀀀 2,050
(C) 􀀀 2,000 (D) 􀀀 1,200
Ans. 2000
19. If log 8 = 0.9031, log 8000 = ?
(A) 1.9031 (B) 3.9031
(C) 1.9031 (D) 0.9031
Ans. 3.9031
20. A basket contains different coloured flowers. Colour of all but 6 is rose, colour of all but 6 is red, colour of all but 6 is white. What is the total number of flowers in the basket ?
(A) 6 (B) 12 (C) 18 (D) 9
Ans. 9
21. How many shares of Rs. 100 sold at a discount of 15% can be purchased by
investing Rs. 7,225 ?
(A) 75 (B) 85 (C) 95 (D) 115
Ans. 85
22. Find the HCF of 6/7, 8/3 and 4/21
(A) 12/21 (B) 24/7 (C) 2/21 (D) 3/8
Ans. 2/21
23. How many 1/8’s are there in 37-1/2 ?
(A) 300 (B) 400 (C) 500 (D) None of these
Ans. 300
24. The ratio of the surface areas of 2 spheres is 4 : 9. Find the ratio of their diameters.
(A) 5 : 6 (B) 2 : 3
(C) 1 : 3 (D) 1 : 2
Ans. 2 : 3
25. Find the median of 7, 8, 4, 3 and 10.
(A) 4 (B) 3
(C) 3.5 (D) 7
Ans. 7
26. The base of a triangle is 3 cm more than its height. If the area of this triangle is 20 sq.cm., find its base.
(A) 5 cm (B) 8 cm
(C) 10 cm (D) 6 cm
Ans. 8 cm
27. Face value of each share is  25. It is sold at a premium of  3. How many of
these shares can be purchased by investing  5,600 ?
(A) 224 (B) 1533.3
(C) 240 (D) 200
Ans. 200

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