SSC CGL PAPER 6 th August 0 Morning Shift Part C Quantitative Aptitude 0. Let C and C be the inscribed and circumscribed circles of a triangle with sides cm, cm and cm then c. Sol. c. 9 6 radius of C = r = area of C areaof C is radius of C = R = Areaof C π r π r Areaof C = 0. If = b. 9 d. 6 Areaof = 6 semiperimeter 6 = r = R = = then (+) equals to + b. c. + d. = + = + = Directions : 0 to 0, the pie chart given here shows ependiture incurred by a family on various items and their savings. Study the chart and answer the questions based on the pie chart Food Cloth 0 Education 70 Others 6 0 60 Savings Housing 60 Yearly saving = 6000 = 7000 60 0. If the ependiture on education is ` 600 more than that of housing then the ependiture on food is ` 6000 b. ` 000 c. ` 7000 d. ` Let Income = 70 So, = 600 60 Food ependiture = 0 6000 60 = 000 0. The ratio of ependiture on food to savings is: : b. : c. : d. 0:9 ratio of ependiture on food to saving = : 06. The average marks obtained by a student in 6 subjects is 88. On subsequent verification it was found that the marks obtained by him in a subject was wrongly copied as 86 instead of 68. The correct average on the marks obtained by him is 8 b. 87 c. 8 d. 86 8 Correct average = 88 = 8 6 Directions : 07 to 0 given here a multiple bar diagram of the scores of four players in two innings. Study the diagram and answer the questions. 0. If the monthly income is ` 6000 then the yearly savings is ` 7000 b. ` 60000 c. ` 7000 d. ` 70000 E 9, South E. Part, New Delhi 9. Ph: 0 070, 80070
00 90 80 70 60 0 0 0 0 0 0 Mahendra Singh Dhoni st Inning nd Inning Virat Kohli Cheteshwar Pujara Shikhar Dhawan 07. The average run of two innings of the player who scored highest in average is 7 b. 8 c. 80 d. 70 Result = 80 + 60 = 70 08. The average run in two innings of the player who has scored minimum at the second inning is: 0 b. 60 c. 0 d. 0 Result = 70 + 0 = 0 09. The average score in second innings contributed by the four players is 0 b. 60 c. 0 d. 0 Result = = 60 = 0 80 + 0 + 0 + 0 0. The total scores in the first innings contributed by the four players is 0 b. 00 c. 0 d. 90 Result = 60+0+70+0 = 0. If the volume of sphere is numerically equal to its surface area then is diameter is: cm b. cm c. cm d. 6 cm r r = π r = diameter = 6. A train runs at an average speed of 7 km/hr. If the distance to be covered is 00 kms. How long will the train take to cover it? hrs b. hrs c. hrs d. hrs time = 00 = hrs. 7. G is the centroid of ABC. The medians AD and BE intersect at right angles. if the lengths of AD and BE are 9 cm and cm respectively; then the length of AB (in cm) is? 0 b. 0. c. 9. d. 0 A E O B D C AD = 9 cm BE = cm Method OD = AD = and OE= BE = DOE is right angled DE = AB = DE = 0 (By mid point theorem) Method OA = 6, OB = 8 AOB is right angled AB = 0. The minimum value of Sin Θ + Cos Θ is sol. c b. c. d. sin θ + cos θ = + cos θ minimum value = + 0 = E 9, South E. Part, New Delhi 9. Ph: 0 070, 80070
. If the three angles of a triangle are 6 ( + ), + 6 and + 0 then the triangle is: scalene b. isosceles c. right angled d. equilateral (+ ) +( 6 = 9 = + 6 )+( angles are (60, 60, 60 ) is equilateral. +0 ) =80 0 The marked price of the article is: ` 00 b. ` 00 c. ` 800 d. ` 600 0 0 0 0 + 0 % + 0 % = 00 00 8% 6%= % = 00% = 600 M.P. = 600 0. The area of the triangle formed by the graphs of the equations = 0, + y = 6 and + y = is sq. unit b. c. sq. unit d. sq. unit sq. unit 6. If the number of vertices, edges and faces of a rectangular parallelopiped are denoted by v, e, and f respectively, the value of (v e + f) is b. c. d. 0 (0,) y v e+ f = 7. persons will live in a tent. If each person requires 6m of floor area and 00m space for air then the height of the cone of smallest size to accommodate these persons would be? 8.7 m b. 6 m c. 0. m d. 0 m valumeof cone h = floor Area 00 h = 80 h = 0 8 = 8.7 m 8. If the altitude of an equilateral triangle is cm, then its area would be cm b. 7 cm c. 6 cm d. cm (0,) (,0) =0 +y=6 Area = = = sq. units +y=. Among the equations/ +y+9=0; =0; y =0, y=0, the equation of the straight line passing through origin is y = 0 b. = 0 c. + y + 9 = 0 d. y = 0 sol. a y = 0 passes through origin. The HCF of 6 and + is + b. + c. d. Area of equilateral = = h = 9. The difference between successive discounts of 0% followed by 0% and % followed by 0% on the marked price of an article is `. E 9, South E. Part, New Delhi 9. Ph: 0 070, 80070 6 = ( )( + + ) = ( )( + ) + = ( ) + ( ) = ( )( + ) + ( )
= ( )( + + ) = ( )( + ) H.C.F. =. The least number which when divided by 6, 9,,, 8 leaves the same remainder in each case is 78 b. 8 c. 76 d. 80 Result = L.C.M. of 6,9,,,8+ = 80 + = 8. Internal bisectors of Q and R of PQR intersect at O. If ROQ = 96 then the value of RPQ is: b. 6 c. 6 d. P 7. If the measure of three angles of a triangle are in the ratio ::, then the triangle is equilateral b. isoesceles c. obtuse angled d. right angled Angles be,, sum = 0= 80 = 8 = 90 is right angle. 8. What must be added to each term of the ratio : so that it may equal to :6? b. 78 c. 6 d. + = 6+ = + = + 6 Q O ROQ = 90 + RPQ R RPQ = 9. If the sum and difference of two angles are /9 radian and 6 respectively, then the value of smaller angle in degree taking the value of π as /7 is : 60 b. 8 c. d. 6. A certain sum will amount of `,00 in years at 0% per annum of compound interest, interest being compounded annually. The sum is: ` 000 b. ` 6000 c. ` 8000 d. ` 0000 sol.d 0 Rs. 00 = P + 00 00= P(.) 00 P = = 0000. 6. A s days work is equal to B s days work. if A can complete the work in 8 days then to complete the work B will take: days b. days c. 6 days d. days B takes days = 8 = 80 radian= 7 = 0 9 9 Smaller angle = sum dift = 0 6 = 0. men and 6 women complete a work in 8 days, men and 9 women also complete in 8 days. The number of days 8 women complete the work is: c. days b. days d. days days 8(M+6W) can do work in day 8 (M+9W) cand do work in day so, M + 8W = 6M + 7 W M = 6W Now, M+6W = W can do in 8 day E 9, South E. Part, New Delhi 9. Ph: 0 070, 80070
8W can do in = 8 6 = = 8 +. If = 7 then the value of b. c. d. + = 7 + = 7 7 + 6 = + 6 6 = 7 7 = 7 + 6 = + +. if + 9y = and + 79y = 0 b. sin + sin 68 + cot 0 = + =. Find a simple discount equivalent to a discount series of 0%, 0% and % % b. % c. % d. 6% Result 90 80 7 = 00 00 00 00 00 = 00 () = 6% 6. If Θ be acute angle and tan ( Θ 0 ) = cot(0 Θ ), then the value of Θ in degrees is 0 b. 0 c. 0 d. 0 c. 9 d. sol. θ 0 +0 θ = 90 θ = 90 θ = 0 + 79 y = 0 ( + 9y) 9y ( + 9y) = 0 y =0 y = y =. If men or 8 women can do a piece of work in days, in how many days can 6 men and women do the same piece of work? days b. 0 days c. days d.0 days e. days sol. e. M = 8W 6M = W 8W can do work in days 6M + W = W can do work in days 8 = =. The value of sin + sin 68 + cot 0 is c. b. d. 7. cost price of 00 books is equal to the selling price of 60 books. The gain or loss percentage will be: 66 % b. c. 66% d. Gain % = 00 = 00 = 66 % 66 % 66 % 8. If sin Θ =, the numerical value of S ec Θ T an Θ SecΘ + Tan Θ c. sin θ = ; b. d. E 9, South E. Part, New Delhi 9. Ph: 0 070, 80070
secθ tan θ secθ + tan θ = (sec θ tan θ ) = = M km 9. If / of a number is 7 more than /6 of the number, the / of the number is: b. 8 c. d. 0 Let number be. 7 = 7 = 7 = 6 = 0 0. What is the arithmetic means of first 0 odd natural numbers? 7 b. 9 c. d. 0 0 0 = 0. A kite is flying at the height of 7 m from the ground. The string makes an angle Θ (where Cot Θ = 8/) with the level ground. Assuming that there is no slack in the string, the length of the string is equal to: 7 m b. 8 m c. 0 m d. 6 m h = Length of string cot θ = 7 90 θ 8 h cos (90 θ )= 7 h 7 = h = 8 m 7 h sin θ = 7 h ; sin θ = 7. If a person travels from a point L towards east for km and then travels km towards north and reaches a point M, then shortest distance from L to M is b. c. 7 d. L km. In an eamination, a student must get 6% marks to pass. A student who gets 90 marks failed by marks. The total marks in that eamination is: 00 b. 6 c. 80 d. 0 total marks = 00 = 6 6. A train 80 mts long is running at a speed of 90 km/h. How long will it take to pass a post? 8. secs b. 7.8 secs c. 8 secs d. 7. secs 90 km/h = 90 = m/s. 8 time to pass a post = 80 7.sec =. An article which is marked at `97 is sold for `897. the % discount is? 6% b. 0% c. % d. 8% Discount % = 97 897 00 = 97 78 00 97 = 8% 6. If Sec Θ +Tan Θ = p, (p 0) then Sec Θ is equal to p +,p 0 p c. p, p 0 p sec θ + tan θ = P sec θ tan θ = P b. p +, p 0 p d. adding both sec θ = P + P sec θ = P + P p, p 0 p 7. If p = 99 then the value of p (p +p + ) 999999 b. 988899 c. 989898 d. 998889 6 E 9, South E. Part, New Delhi 9. Ph: 0 070, 80070
P = 99 P (P + P + ) = P + P + P = P + P + P + = (P+) = 000000 = 999999 8. If = then the value of + 7 + + 6 b. c. d. = + 7 + + 6 = + ( )9 + ()(9) +79 79+6 = (+9) 98 = 98 = 98 = 9. If D, E and F are the mid points of BC, CA and AB respectively of the ABC then the ratio of area of the parallelogram DEFB and area of the trapezium CAFD is: : b. : c. : d. : Area of region,,, are equal B F A D Area of DEFB gm Area of Trapezium CAFD = E 0. If A and B are in the ratio : and the difference of their squares is 8, what is the value of A? 6 b. c. d. Let A =, B= () () = 8 (9)() = 8 = 9 = = = A C 7 E 9, South E. Part, New Delhi 9. Ph: 0 070, 80070