SSC CGL 5th August 2017 Shift 1 Quantitative Aptitude Tier 1 Question paper

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Q 1) If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y? 1) 2 2) 4 3) 6 4) 8

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Q 2) A, B and C can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after 4 days A leaves the job and B left the job 6days before the work was completed. C completed the remaining work alone. In how many days was the total work completed? 1) 10 2) 12 3) 14 4) 16

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Q 3) A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in sq. cm) in the total surface area? 1) 289 2) 361.5 3) 481.25 4) 962.5

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Q 4) After a discount of 34% an article is sold for Rs 3168. What is the marked price (in Rs) of the article? 1) 4750 2) 4800 3) 4850 4) 5000

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Q 5) If $\frac{3}{7}P$ = $\frac{4}{11}Q$ , then what is the ratio of P and Q respectively . 1) 12 : 77 2) 12:33 3) 28:33 4) 3:28

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Q 6) The average of 17 results is 60. If the average of first 9 results is 57 and that of the last 9 results is 65, then what will be the value of 9th result? 1) 39 2) 78 3) 117 4) 156

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Q 7) For an article the profit is 170% of the cost price. If the cost price increases by 20% but the selling price remains same, then what is the new profit percentage? 1) 41 2) 50 3) 75 4) 125

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Q 8) 32% of a number exceeds 17% of the same number by 120. What is the value of the number? 1) 900 2) 860 3) 940 4) 800

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Q 9) A boat goes 15 km upstream and $10\frac{1}{2}$ km downstream in 3hours 15 minuts. It goes 12 km upstream and 14 km downstream in 3hours. What is the speed of the boat in still water? 1) 4 2) 6 3) 10 4) 14

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Q 10) A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to Rs 250 less than the sum lent. What was the sum lent (in Rs)? 1) 1000 2) 1500 3) 2400 4) 3000

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Q 11) If x = $\frac{2+\sqrt{3}}{2-\sqrt{3}}$ ,then what is the value of $x +\frac{1}{x}$ 1) 14 2) $8\sqrt{3}$ 3) 0 4) 18

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Q 12) If x = $2+ \sqrt{3}$ , then what is the value of $\sqrt{2x} +\frac{1}{\sqrt{2x}}$ ? 1) $2\sqrt{3}$ 2) $3\sqrt{3}$ 3) $\frac{(3\sqrt{3} 1)}{2}$ 4) $2\sqrt{3} 1$

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Q 13) If $x +\frac{1}{x}$ =4 , then hat is the value of $x^{6} +\frac{1}{x^{6}}$ ? 1) 52 2) 256 3) 1026 4) 2702

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Q 14) If y= $\frac{2-x}{1+x}$, then what is the value $\frac{1}{y+1}+\frac{2y+1}{y^{2}-1}$ ? 1) $\frac{(1 x)(2-x)}{2x-1}$ 2) $\frac{(1-x)(2 x)}{x-1}$ 3) $\frac{(1 x)(2-x)}{1-2x}$ 4) $\frac{(1 x)(1-2x)}{1-2x}$

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Q 15) In the triangle ABC, $\angle BAC$ = $50^{0}$ and the bisectors of $\angle ABC $ and $\angle ACB$ meets at P. What is the value (in degrees) of $\angle BPC$? 1) 100 2) 105 3) 115 4) 125

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Q 16) Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circles is 40 cm, then what is the radius (in cm) of the circles? 1) 25 2) $25\sqrt{2}$ 3) 50 4) $50\sqrt{2}$

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Q 17) 1) 40, 46 , 94 2) 40, 50, 90 3) 46, 54, 80 4) 50, 40, 90

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Q 18) In $ \triangle PQR $, $\angle R$= $54^{0}$, the perpendicular bisector of PQ at S meets QR at T. If $\angle TPR$ = $46^{0}$, then what is the value (in degrees) of $\angle PQR$? 1) 25 2) 40 3) 50 4) 60

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Q 19) What is the simplified value of $\frac{cotA + tanB}{cotB + tanA}$ ? 1) tan B cot A 2) tan A cot B 3) tan A tan B 4) cot A cot B

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Q 20) What is the simplified value of $\left(\frac{1}{cosecA + cotA}\right)^{2}$ ? 1) sec A tan A 2) $\frac{(1-cos A)}{(1 cos A)}$ 3) $\frac{(1-cosec A)}{(1 cosec A)}$ 4) sin A

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Q 21) If $cos^{2}\theta - sin\theta$ =$\frac{1}{4}$, then what is the value of $sin\theta$? 1) -1 2) $\frac{1}{2}$ 3) 1 4) $\frac{3}{2}$

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Q 22) What is the percentage increase in number of students of Commerce from 2012 to 2016? 1) 11.16 2) 17.28 3) 13.51 4) 15.67

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Q 23) What is the simple annual growth rate (in %) of the number of students of Business from 2012 to 2016? 1) 10 2) 12.5 3) 15 4) 17.5

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Q 24) What is the ratio of average number of students studying Arts per year and average number of students studying Science per year? 1) 169:331 2) 66:169 3) 127:261 4) 32:75

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Q 25) Which year shows the maximum percentage increase in the total number of students in these 4 subjects over the previous year? 1) 2013 2) 2014 3) 2015 4) 2016

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