1 Tons of Free Study Materials & E books by Call , SSC CHSL 2016 MATHS SOLVED PAPER
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1 1. Which of the following is correct? (a) (4x y) = 16x 0xy + y (b) (4x y) = 16x + 40xy y (c) (4x y) = 16x 40xy + y (d) (4x y) = 16x 0xy y. If the radius of a circle is increased by 1% its area increases by. 1% (a) 0 percent / (b). percent / (c) 1 percent / (d) 16.1 percent /. Ticket for an adult is Rs 1600 and a child is Rs child goes free with two adults. If a group has 1 adults and children what is the discount the group gets? (a) 1. percent (b) 6.0 percent (c) 4.41 percent (d). percent 4. When is converted into a fraction, then the result is (a) Rs 0000 (b) Rs 000 (c) Rs (d) Rs 00. Which of the following quadratic equations has real roots? (a) 4x x + = 0 (b) x 11x + = 0 (c) x 11x + 8 = 0 (d) x x + = 0 8. If x + > + x and x + 4x + ; then x can take which of the following values? x + > + x x + 4x + x (a) (b) (c) (d) 1 9. The 4th term of an arithmetic progression is 1, 1th term is 9, find the 10th term? 1 9 (a) (b) 1 (c) 1 (d) In what ratio is the segment joining ( 1, 1) and (, 4) divided by the x-axis? ( 1, 1) (, 4) x (a) 1 : (b) : (c) : 1 (d) : 11. A can do a work in 0 days and B in 0 days. If they work on it together for days, then what fraction of work is left? A 0 B 0 (a) 1/ (b) 1/11 (c) / (d) 6/11. The bus fare between two cities is increased in the ratio : 11. Find the increase in the fare, if the original fare is Rs.. : 11 (a) 1/0 (b) 1/ (c) 1/6 (d) /9 1. At what point does the line 4x y = 6 intercept the y-axis? 4x y = 6, y (a) Rs 60 (b) Rs 11 (c) Rs 0 (d) Rs 4 6. The difference between simple and compound interests compounded annually on a certain sum of money for years at 9% per annum is Rs 40. The sum is. 9% 40 (a) (0, ) (b) (0, /) (c) (, 0) (d) (/, 0) 1. In DEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1 : and HF is. cm, find length of DF? DEF G H DE DF GH, FE G, DE 1 : HF. 1 Tons of Free Study Materials & E books by Call-9081, DF
2 (a).4 cm (b) 4.8 cm (c).6 cm (d) 9.6 cm 14. The mean of marks secured by 6 students in division A of class X is 4, 0 students of division B is 0 and that of students of division C is 48. Find the mean of marks of the students of three divisions of Class X. A 6 4 B 0 0 C 48 (a) 0. (b) 49.6 (c) 1 (d).4 1. In a triangle the length of the side opposite the right angle is 9 cm, what is the length of the side opposite to the angle which measures 0 degree? 9 (a) 9 cm 0 (b) cm (c) 6 cm (d) 9 cm 16. Two cars travel from city A to city B at a speed of 0 and 44 km/hr respectively. If one car takes. hours lesser time than the other car for the journey, then the distance between City A and City B is 0 44 A A B B. (a) 0 km (b) 96 km (c) 49 km (d) 64 km 1. Rajeev sells a machine for Rs lakhs at a loss. Had he sold it for Rs 6 lakh, his gain would have been times the former loss. Find the cost price of the machine. 6 (a) Rs 6 lakhs/ 6 (b) Rs lakhs/ (c) Rs 8 lakhs/ 8 (d) Rs 49 lakhs/ Curved surface area of a cylinder is 8 sq cm. If circumference of its base is 44 cm, find the height of the cylinder? (a) 1 cm (b) 4 cm (c) 6 cm (d) 6 cm 19. What is the value of sin /? sin / (a) (b) (c) 1 (d) 0. cos A is equal to cos A Tons of Free Study Materials & E books by Call-9081, (a) cosa sin AcosA (b) cosa + 4sin AcosA (c) cosa + sin AcosA (d) cosa - 4sin AcosA 1. sec A is equal to sec A (a) [(1 tana) + (1 tana) ] (b) [(1 tana) + (1 + tana) ] (c) [(1 tana) (1 + tana) ] (d) (1 tana) (1 tana). Refer the below data table and answer the Weight (kg) Who has the least weight to height ratio? (a) Anita / (b) Anajali / (c) Anjalika / (d) Anjana / Height (in meter) Anita / Anjali / Anjalika / 1 1. Anjana / 1.9. Refer the below data table and answer the Year Company % Profit What was the Revenue of the company if its Expenditure was Rs 40 crore in the year when its % profit was the least? %
3 40 (a) 4. (b) 49 (c) 1. (d) Refer the below data table and answer the Number of Children Number of houses What is the average number of children per house? (a) 1.4 (b) 1.99 (c) 1.4 (d) Refer the below data table and answer the 1. (b) 18. (a) 19. (a) 0. (c) 1. (b). (c). (a) 4. (d). (b) Solutions 1. (c) (4x y) 16x y 4x y 16x y 40xy Option (c) is the right answer.. (b) Required increase in Area %. (a) Required Discount 600 (1600 1) (600) % (b) (c) Initial Final Bus Fare : 11 units If the company has issued six lakh shares between its five partners and if Basu offers to sell 1,000 of his shares to Ejaz, then Ejaz will have how many shares? 1,000 Partner (a) shares (c) 0000 shares Present % Share (b) 0 shares (d) 8000 shares 1. (c). (b). (a) 4. (b). (c) 6. (a). (d) 8. (d) 9. (d) 10. (c) 11. (a) 1. (a) 1. (d) 14. (c) 1. (d) 16. (a) % Anand / 1 Basu / Chinmay / 1 Dhiraj / 0 Ejaj / 4 Answer Sheet 6 units 0 Increase in the fare = Rs (a) Required sum Rs (d) With the help of options, x x 0 We know that if b 4ac 0. then what roots are real ( ) x x 0 has real roots. 8. (d) x x x x 1...(i) and, x yx x...(ii) From equation (i) and (ii), we get 1 x Now, with the help of options, x 1 9.(d) Let the first term 'a' and common difference "d" According to the questions, a d 1...(i) a 14d 9...(ii) Tons of Free Study Materials & E books by Call-9081,908404
4 10. (c) 11. (a) From equation (i) and (ii), we get d 4 and a Now, a 9d 9( 4) 10th term 9 (x, 0) ( 1, ) (, 4) m m 1 4m1 1m O m m 1 4m 1m 1 1 m m 1 Required ratio : 1 ( ) Required fraction (a) Line 4x y = 6 intercept the y-axis, Where x = 0 4(0) y 6 y 1. (d) A 0 B 0 AB Co ordinates of po int (0, ) G E 1 D H F GH FE DGH DEF DE DF Now, GE HF 4 DF. DF 9.6 cm 14. (c) Mean of marks of the class (d) AB sin0 AC 1 AB 9 9 AB cm 16. (a) Car1 Car Speed 0 : 44 Time : 1 units. hours. 1 units 1. hours Now, Required distance km 1. (b) Let the loss = Rs. X 6x 6 x lakhs Now, Cost price of the machine lakhs 18. (a) 19. (a) h r r 44...(i) and, rh 8...(ii) Dividing equation (ii) by (i), we get h 1 cm sin sin00 sin(60 60 ) sin60 0. (c) We know that, cosa 4 cos A cos A 4 cos A cosa cos A 4 Tons of Free Study Materials & E books by Call-9081,908404
5 cos A cos A cosa cos A (1 sin A)cos A cos A cosa cos A cos A sin A cos A cos A cosa cos A cos A cosa sin A cos A. 1. (d) With the help of options, (1 tan) (1 tan A) 1 tan A tan A 1 tan A tan A (1 tan A) sec A Option (d) is the right answer.. (c) Weight to height ratio of Anita Weight to height ratio of Anjali Weight to height ratio of Anjalika Weight to height ratio of Anjana Anjalika has the least weight to height ratio.. (a) Revenue of the company Rs. 4. crore 4. (d) Average Number of Children (b) Number of Ejaz's shares shares Tons of Free Study Materials & E books by Call-9081,908404
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