SSC CGL 9th August 2017 Shift 1 Quantitative Aptitude Tier 1 Question paper

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Q 1) A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient? 1) A 2) Bangladesh 3) C 4) A or B

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Q 2) Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area? 1) 12 2) 14 3) 16 4) 28

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Q 3) The marked price of a sofa set is Rs 4800 which is sold at Rs 3672 at two successive discounts. If the first discount is 10%, then what will be the second discount (in %)? 1) 13 2) 14 3) 15 4) 17

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Q 4) A, B and C invested amounts in the ratio 3 : 4 : 5 respectively. If the schemes offered compound interest at the rate of 20% per annum, 15% per annum and 10% per annum respectively, then what will be the ratio of their amounts after 1 year? 1) 3:15:25 2) 6:06:05 3) 36:46:55 4) 12:23:11

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Q 5) The average age of 120 members of a society is 60.7 years. By addition of 30 new members, the average age becomes 56.3 years. What is the average age (in years) of newly joined members? 1) 36.5 2) 37.2 3) 38.3 4) 38.7

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Q 6) By selling 175 pineapples, the gain is equal to the selling price of 50 pineapples. What is the gain percentage? 1) 28 2) 30 3) 32 4) 40

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Q 7) If A has got 20% more marks than B, then by what percent marks of B are less than the marks of A? 1) 16.66 2) 20 3) 33.33 4) 14.28

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Q 8) A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet? 1) 1:42 p. m. 2) 1:27 p.m. 3) 2:04 p.m. 4) 1:49 p.m.

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Q 9) The difference between the compound interest compounding half yearly for 1 year and the simple interest for 1 year on a certain sum of money lent out at 8% per annum is Rs 64. What is the sum (in Rs)? 1) 40000 2) 42000 3) 44000 4) 44800

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Q 10) If (x - 2) and (x + 3) are the factors of the equation $x^{2} + k_{1}x + k_{2}$ = 0, then what are the values of $k_{1}$ and$ k_{1}$? 1) $k_{1}$ = 6, $k_{2}$ = – 1 2) $k _{1}$ = 1, $k _{2}$ = – 6 3) $k_{1}$ = 1, $k_{2}$ = 6 4) $k_{1}$ = – 6, $k_{2}$= 1

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Q 11) If (x - y) = 7, then what is the value of $(x - 15)^{3} - (y - 8)^{3}$? 1) 0 2) 343 3) 392 4) 2863

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Q 12) If $x - y - \sqrt{18}$ = -1 and $x + y - 3\sqrt{2}$ = 1, then what is the value of $12xy(x^{2} - y^{2})?$ 1) 0 2) 1 3) $512\sqrt{2}$ 4) $612\sqrt{2}$

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Q 13) If$\frac{p}{q}$ = $\frac{r}{s}$ = $\frac{t}{u}$ = $\sqrt{5}$, then what is the value of $ \left[\frac{(3p^{2} + 4r^{2} + 5t^{2})}{(3q^{2} + 4s^{2} + 5u^{2})}\right]$? 1) $\frac{1}{5}$ 2) 5 3) 25 4) 60

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Q 14) In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively? 1) 1:1 2) 2:1 3) 3:1 4) 4:1

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Q 15) PQR is a right angled triangle in which $\angle R$ = $90^{0}$. If $RS\bot PQ$, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)? 1) $\frac{12}{5}$ 2) $\frac{36}{5}$ 3) 5 4) 2.5

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Q 16) In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If $\angle PBR$ =$105^{0}$, then what is the value of $\angle PAR$ (in degrees)? 1) 60 2) 100 3) 105 4) 115

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Q 17) If there are four lines in a plane, then what cannot be the number of points of intersection of these lines? 1) 0 2) 5 3) 4 4) 7

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Q 18) What is the simplified value of cosec 2A + cot 2A? 1) sec A 2) $sec (\frac{A}{2})$ 3) cot A 4) $cot^{2} A$

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Q 19) If A = $30^{0}$, B = $60^{0}$ and C = $135^{0}$, then what is the value of $sin^{3}A + cos^{3}B + tan^{3}C - 3sin A cos B tan C?$ 1) 0 2) 1 3) 8 4) 9

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Q 20) What is the least value of $tan^{2} \theta + cot^{2} \theta + sin^{2} \theta + cos^{2} \theta + sec^{2} \theta + cosec^{2} \theta $? 1) 1 2) 3 3) 5 4) 7

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Q 21) If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths? 1) 15 2) 20 3) 25 4) 40

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Q 22) Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio? 1) 46 2) 51.75 3) 69 4) 103.5

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Q 23) If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry taught? 1) 136 2) 184 3) 216 4) 232

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Q 24) A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart? 1) 17.28 2) 18 3) 19.44 4) 36

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