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