349

Sample Question Paper Mathematics

(211)

Time : 3 Hours

Maximum Marks : 100

Note : 1. Question Numbers (1–16) are Multiple Choice Questions. Each question carries one mark. For each question, four alternative choices are given, of which only one is correct. You have to select the correct alternative and indicate it in the box provided against each question by writing A, B, C or D as the case may be. 2. Question Numbers (17–26) carry 3 marks each. 3. Question Numbers (27–34) carry 5 marks each. 4. Question Numbers 35 and 36 are of 7 marks each. 5. All Questions are compulsory. 1. The sum of 20, 30 and 40 is : (A) 0 (C) 3 (B) 1 (D) 9

2. In terms of power of prime numbers, 360 can be written as; (A) 2 × 3 × 5 (C) 8 × 9 × 5 3. The HCF of 12 and 28 is : (A) 2 (C) 4 4. The square root of 0.04 is : (A) 0.002 (C) 0.2 (B) 0.02 (D) 0.16 (B) 3 (D) 36 (B) 22 × 32 × 5 (D) 32 × 23 × 51

350

Mathematics

5. A person took a loan of Rs 1500 from his employer for 3 months at 12% per annum simple interest. The amount he has to return is : (A) Rs 45 (C) Rs 1545 (B) Rs 1500 (D) Rs 1455

6. At a book stall, a discount of x% was allowed on each book. A book was purchased by a customer for Rs y, its marked price was : (A) Rs 100y 100 − x 100y x

(B) Rs

100y 100 + x

(C) Rs

(D) Rs xy

7. A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 8% discount on the list price. The profit percent of the retailer is : (A) 20% (C) 12% (B) 15% (D) 8%

8. A man purchased a bundle of cloth, with a list price of Rs 20000, and a sales tax of 10% on it. He paid Rs 25000 to the shopkeeper. The money he got back was : (A) Rs 22000 (C) Rs 3000 (B) Rs 15000 (D) Rs 2000

9. A transversal PQ intersects two lines AB and CD as shown in the adjacent figure. A pair of alternate angles is :

(A) 1 and 2 (C) 2 and 3

(B) 1 and 4 (D) 4 and 5

Sample Question Paper

351

10. In ∆ABC, the bisector ∠A is same as the median through A. ∆ABC is : (A) isosceles with AB = BC (C) isosceles with AB = AC (B) a right angled triangle (D) isosceles with BC = AC

11. The area of a circle is 314 cm2. If π = 3.14, then its diameter is : (A) 100 cm (C) 20 cm (B) 50 cm (D) 10 cm

12. The total surface area of a closed right circular cylinder of radius 3.5 m and height 7 m is : (A) 77 m2 (C) 231 m2 3 , then sin θ is : 4 3 5 5 4

(B) 154 m2 (D) 308 m2

13. If tan θ =

4 5 4 3

(A)

(B)

(C)

(D)

14. If sin θ + cos θ = 2 cos θ , the value of tan θ is : (A) (C)

2 2 −1

(B) 1 (D)

2 +1

15. Cumulative frequency of a class in a frequency distribution table is : (A) total of all frequencies (B) sum of all frequencies prior to that class (C) sum of all frequencies upto the class (D) sum of frequencies after the class

352

Mathematics

16. The cumulative frequency of the last class of a frequency distribution is equal to : (A) frequency of last class (B) frequency of first class (C) frequency of the class prior to the last class (D) total of all frequencies

17. Simplify :

3125 343

18. Expand :

Fx 2 H

2

−1 x

I K

2

19. Factorize : 1 – x4y4

p 20. Express − 0.3 in the form − q where p and q are natural numbers. 21. The sides of a triangle are in the ratio 1 : 1.5 : 2. If the perimeter is 13.5 cm, find the length of each side. 22. The entries in the pass book of a saving bank account holder in a particular year are as below :

Date

Particulars

Amount withdrawn Rs P — — 12,000.00 — — — 33,000.00

Amount Deposited Rs P — 10,000.00 — 8,000.00 10,000.00 8,000.00 —

Balance Rs P 20,000.00 30,000.00 18,000.00 26,000.00 36,000.00 44,000.00 11,000.00

1.7.2002 22.7.2002 30.7.2002 20.9.2002 10.10.2002 9.11.2002 24.12.2002

B/F By cheque To cheque By cheque By cheque By cash To cheque

Find the principle on which interest is payable for one month.

Sample Question Paper

353

23. In the given figure, S is any...

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