SSC CGL 2019 (PRE) MATHS PAPER SOLUTION

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                          SSC CGL 2019 TIER-1 ALL SIFT  MATHS PAPER  WITH SOLUTION








Q.1. A, B and C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 110⁰ and 130⁰, respectively. Then the value of is :
 (a) 65⁰
 (b) 60 
(c) 75⁰ 
(d) 70⁰ 

Q. 2. The radius of a circular garden is 42m. The distance ( in m ) covered by running 8 rounds around it, is : 
(a) 2112 
(b) 4262 
(c) 3248 
(d) 1124 

Q. 3. A person sells an article at 10% below its cost price. Had he sold it for Rs. 332 more, he would have made a profit of 20%. What is the original selling price ( in Rs.) of the article ? 
(a) 896    
(B) 1,328 
(c)1,028 
(d) 996 

Q. 4. A shopkeeper marks the price of the article in such a way that after allowing 28% discount, he wants a gain of 12%. If the marked price is Rs. 224, then the cost price of the article is : 
(a) Rs. 196 
(b) Rs.120 
(c) Rs. 168 
(d) Rs. 144 

Q. 5. In MN || BC, the area of quadrilateral MBCN = 130sqcm. If AN : NC = 4:5, then the area of is 
(a)40 cm2 
 (b) 65 cm2 
 (c) 45 cm2 
 (d)32 cm2 

Q.6. The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9. 
(a) 25 
(b) 30 
(c) 20 
(d) 15 

Q. 7. Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6th number. If their average is 136, then the 6th number is :
 (a) 102 
(b) 84 
(c) 96 
(d) 116 

Q. 8. A train crosses a pole in 12 sec, and a bridge of length 170m in 36sec. Then the speed of the train is : 
(a) 10.8 km/h 
(b) 32.45 km/h 
(c) 25.5 km/h 
(d) 30.75 km/h 

Q. 9. If x2a = y2b = z2c 0 and x2 =yz, then the value of ( ab + bc + ca ) / bc is : 
(a) 3bc 
(b) 3ac 
(c) 3ab 
(d) 3 

Q. 10. If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be : (a) 0 (b) 2 (c) 4 (d) 1 Q. 11. If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%, then the area of rectangle increases by x%. Then the value of x is : (a) 20 (b) 8 (c) 16 (d) 12 Q. 12. If + means -, - mean +,  means  and  means , then the value of (42−123+82+15)/(82−4+93) is? (a) 15/19 (b) – 5/3 (c) – 15/19 (d) 5/3 Q.13. A, B and C can individually complete a piece of work in 24days, 15days and 12 days, respectively. B and C started the work and worked for 3 days and left. The number of days required by A alone to complete the remaining work, is : (a) 18 (b) (c) 11 (d) Q. 14. Rs. 4,300 becomes Rs. 4,644 in 2 years at simple interest. Find the principle amount that will become Rs. 10,104 in 5 years at the same rate of interest. (a) Rs. 9,260 (b) Rs. 7,200 (c) Rs. 5,710 (d) Rs. 8,42d0 Q. 15. If x = 4cosA + 5sinA and y = 4sinA – 5cosA, then the value of x2 + y2 is : (a) 41 (b) 16 (c) 0 (d) 25 Q. 16. If A lies in the first quadrant and 6tanA = 5, then the value of (a)16 (b) 1 (c)-2 (d) 4 Q. 17. If x – y = 4, and xy = 45, then the value of x3 – y 3 is : (a) 82 (b) 151 (c) 604 (d) 822 Q. 18. If the base radius of 2 cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is : (a) 1 : 2 (b) 1 : 4 (c) 4 : 1 (d) 2 : 1 Q. 19. The area of is 44 cm2 . If D is the midpoint of BC and E isthe midpoint of AB, then the area ( in cm2 ) of is : (a) 11 (b) 44 (c) 22 (d) 5.5 Q. 20. If A + B = 45⁰, then the value of 2( 1 + tanA)( 1 + tanB) is : (a) 0 (b) 1 (c) 2 (d) 4 Q.21. If x , y , z are three integers such that x + y = 8, y + z = 13, and z + x = 17, then the value of x2 /yz is : (a) 0 (b) 18/11 (c) 1 (d) 7/5 (Q. 22 – 25 ) The given table shows the number ( in thousands) of cars of five different models A, B, C, D and E produced during Years 2012-2017. Study the table and answer the question that follow. Q. 22. The percentage increase in the total cars in 2016 over 2012, is : (a) 45% (b) 50% (c) 33.33% (d) 63.33% Q. 23. The percentage decrease in the production of which type of car in 2017, with reference to 2016, was the maximum ? (a) D (b) A (c) C (d) E Q. 24. If 2013 and 2014 are put together, which type of cars constitute exactly 25% of the total number of cars produced in those 2 years ? (a) B (b) D (c) C (d) E Q. 25. In the year 2015, which type of car constitutes exactly 20% of the total number of cars produced that year ? (a) A (b) D (c) B (d) E

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