# SSC CGL Previous year Question Paper of Quantitative Aptitude |

By | August 2, 2016

SSC CGL exam will be held on 27 August 2016. Our website is provoding the previous year solved question papers , we have already published the question paper of  the year 2015 General Awareness , General Intelligence and Reasoning. The solution key of all paper will be published on 10 August 2016 at our website. user can check the
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# SSC Combined Graduate Level (Pre.) Examination 2015 |

## Part: C Quantitative Aptitude

1. x= (√5 – √3)/ (√5 + √3) and y= (√5 + √3)/ (√5- √3), then value of

(x2 + xy+ y2) / (x2 + xy+ y2)= ?

(A)  67/ 65   (B)   69/67     (C) 65/63                     (D) 63/61

1. 0 is the circumcentre of ∆ABC. If BAC =85  ,       BCA=75  , then     OAC is equal to                                                                  (A) 60     (B)        50 (C)     40                          (D) 70
1. If the discount of 10% is given on the marked price of a radio, the gain is 20%. If the discount is increased to 20%, the gain is

(A)     7 ⅝ %    (B) 5%         (C) 6 ¼ %                    (D) 6 ⅔ %

Directions: Study the chart and answer the questions.

1. If the total income in a year be Rs. 733 crore, then the income (in crore Rs.) from ‘Income Tax’ and ‘Excise duty’ is
•  (A) 45 (B) 329.85 (C) 331.50                   (D) 329.80
1. The central angle of the sector representing income tax is
•  (A) 126 (B) 135 (C) 150                        (D) 119
1. If the income from the market tax in a year be Rs. 165 crore, then the total income from other sources is (in crore Rs.)
• (A)    345 (B) 365 (C) 335                        (D) 325
1. The value of the following is

cos 24   + cos 55   + cos 125  + cos 204  + cos 300

• (A)    2 (B) ½ (C) 1                            (D) -½
1. If (sec θ + tan θ) / (sec θ – tan θ) = 2 51­ 79 then the value of sin θ is
• (A)        39/72     (B)       35/72       (C) 65/144                   (D) 91/144
1. A and B together can do a piece of work in 30 days. B and C together can do it in 20 days. A starts the work and works on it for 5 days, then B takes up and works for 15 days. Finally C finishes the work in 18 days. The number of days in which C alone can do the work when doing it separately is
• 40 (B) 120 (C) 60                          (D) 24
1. If the area of the base, height and volume of a right prism be (3√3/2)P2 cm2, 100√3 cm and 7200 cm3 respectively, then the value of P will be
• (A)     3/2    (B) 4        (C) √3                          (D) 2/√3
1. A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius (in m) of the pool is
• (A)     20      (B)     30      (C) 16                          (D) 8
1. O is the in-centre of ∆POR and QPR =50,  then the measure of     QOR is
• (A)     125     (B)   100 (C) 130                        (D) 115
1. A train leaves station A at 5:00am and reaches station B at 9:00 am on the same day. Another train leaves station B at 7:00 am and reaches station A at 10:30am on the same day. The time at which the two trains cross one another is
• (A) 8:00 am (B) 8:26 am (C) 7:56 am                 (D) 7:36 am
1. Ram deposited a certain sum of money in a company at 12% per annum simple interest for 4 years and deposited equal amount in fixed deposit in a bank for 5 years at 15% per annum simple interest from two sources is Rs. 1350, then the sum deposited in each case is
• (A) Rs 4000 (B) Rs 5000 (C) Rs 6500                 (D) Rs. 3000
1. The speed of a boat in still water is 6 km/h and the speed of the stream is 1.5 km/h. A man rows to a place at a distance of 22.5 km and comes back to the starting point. The total time taken by him is
• (A)   10 h (B) 4 h 10 min (C) 6 h 10 min             (D) 8 h
1. If 1 + cos2 θ = 3 sin θ cos θ, then the integral value of cot θ is (0< θ<π/2)
• (A)     1 (B) 2 (C) 0                            (D) 3
1. The value of the following is

3(sin 4 θ + cos4 θ) + 2(sin6 θ + cos6 θ) + 12 sin2 θ cos2 θ

• (A)    2 (B) 5 (C) 3                            (D) 0
1. A dealer sold a bicycle at a profit of 10%. Had he brought the bicycle at 10% less price and sold it at a price Rs. 60 more, he would have gained 25%. The cost price of the bicycle was
• (A)     2200 (B) Rs. 2000 (C) Rs. 2400                (D) Rs. 2600
1. If sec θ + tan θ =2 + √5, then the value of sin θ is (0 ≤  θ ≥  90  )
•   (A)√3/2 (B) 1/√5 (C) 2/√5                       (D) 4/5
1. A conical iron pieces having diameter 28 cm and height 30 cm is totally immersed into the water of a cylindrical vessel, resulting in the rise of water level by 6.4 cm. The diameter (in cm) of the vessel is
• (A  ) 5 (B) 35/2 (C) 35                          (D) 32
1. If two numbers are in the ratio 2 : 3 and the ratio becomes 3 : 4 when 8 is added to both the numbers, then the sum of the two numbers is
• (A)   40 (B) 10 (C) 100                        (D) 80
1. A librarian purchased 50 story-books for his library. But he saw that he could get 14 more books by spending Rs. 76 more and the average price per book would be reduced by Rs. 1. The average price (in Rs.) of each book he bought was
• (A)   20 (B) 25 (C) 15                          (D) 10
1. If x2 + x = 5, then the value of (x + 3)3 +1/(x + 3)3
•     (A)   110   (B)    120    (C) 140                        (D) 130

Directions: Study the following bar diagram and answer the questions.

Electricity units consumed by a family in two consecutive years during July to November.

1. The maximum difference in the units consumption between these two years has been found in the month of
• August (B) July (C) November             (D) October
1. In how many months in 2012, the consumption of electric units was more than the average units consumption in that year?
• (A)   2 (B) 4 (C) 5                            (D) 3
1. The average electric consumption by the family during these 5 months in 2013 is
• 440 units (B) 450 units (C) 400 units               (D) 470 units
1. The total units consumption in the year 2013 during these 5 months, in respect of the same in the previous year has been
• Decreased by 2.27%
• Increased by 2.22%
• Found unaltered
• Increased by 2.27%
1. If a + b – c =14, then the value of 2b2c2+2c2a2+ 2 a2b2– a4-b4-c4
• 14 (B) 7 (C) 0                            (D) 28
1. The percentage of metals in a mine of lead ore is 60%. Now, the percentage of silver is ¾% of metals and the rest is lead. If the mass of ore extracted from this mine is 8000kg, the mass (in kg) of lead is
• 4763 (B) 4764 (C) 4762                      (D) 4761
1. If 4a – (4/a) +3 =0, then the value of a3 – 1/a3 + 3
• 3/16 (B) 21/64 (C) 21/16                     (D) 7/16
1. Average weight of 3 men A, B, C, is 84 kg. Another man D joins the group and the average now becomes 80kg. If another man E whose weight is 3 kg more than that of D replaces A, then the average weight of B, C, D and e becomes 79 kg. The weight of A (in kg) is
• 80 (B) 70 (C) 72                          (D) 75
1. The simplified value of {(1+1/(10+1/10))(1+1/(10+1/10))-(1-1/(10+1/10))(1-1/(10+1/10))}-{(1+1/(10+1/10))(1-1/(10+1/10))}
• 2 (B) 20/101 (C) 100/101                 (D) 90/101
1. If x=z=225 and y= 226, then the value of x2+y3+z3-3xyz
• 765 (B) 576 (C) 674                        (D) 676
1. If tan A + cot A =2, then the value tan 10A + cot 10 A is
• 1 (B) 4 (C) 210                              (D) 2
1. ABCD is cyclic quadrilateral. Diagonals AC and BD meets at P. If APB =110  and     CBD = 30, then    ADB measures
• 80 (B) 70 (C) 30                          (D) 55
1. The area of the triangle formed by the graphs of the equations x= 4, y= 3 and 3x + 4y = 12 is
• 4 sq units (B) 12 sq units (C) 6 sq units               (D) 3 sq units
1. If x 2 + y2 + z2 = 2(x + z -1), then the value of x 3 + y 3 + z 3
• 2 (B) 0 (C) -1                           (D) 1
1. Two pipes A and B can fill a tank with water in 30 minutes and 45 minutes respectively. The water pipe C can empty the tank in 36 minutes. First A and B are opened. After 12 minutes C is opened. Total time (in minutes) in which the tank will be filled up is:-
• 30 (B) 24 (C) 36                          (D) 12
1. Two towers A and B have lengths 45 m and 15 m, respectively. The angle of elevation from the bottom of the B tower to the top of the A tower is 60. If the angle of elevation from the bottom of the A tower to the top of the B tower is θ, then value of sin θ, is
• 1/√2 (B) √3/2 (C) 2/√3                       (D) 1/2
1. A dealer buy an article listed at Rs. 100 and gets successive discounts of 10% and 20%. He spends 10% of the cost price on transportation. At what price should he sell the article to earn a profit of 15%?
• Rs 91.08 (B) Rs 92.00 (C) Rs 90.80                (D) Rs 91.20
1. Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is
• 13 : 22 (B) 14 : 25 (C) 10 : 21                   (D) 12 : 23
1. The internal bisectors of the B and     C of the ∆ ABC intersect at O. If    A=100  , then the measure of    BOC is
• 110 (B) 140 (C) 120                        (D) 130
1. A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him Rs 600, to make a profit of 20% should be
• 800 (B) Rs. 700 (C) Rs. 650                  (D) Rs. 750
1. If x + 1/x = 1, then the value of 2/(x2 – x + 2)
• 4 (B) 1 (C) 2/3                         (D) 2
1. AC is transverse common tangent to two circles with centres P and Q and radii 6 cm and 3 cm at the point A and C, respectively. If AC cuts PQ at the point B and AB= 8 cm, then the length of PQ is
• 10 cm (B) 12 cm (C) 13 cm                    (D) 15 cm
1. The value of √((0.324 x 0.081 x 4.624) / (1.5625 x 0.0289 x 72.9 x 64))
• 024 (B) 0.24 (C) 2.4                         (D) 24
1. Given that, ∆ ABC ~ ∆ PQR. If area (∆ PQR) / area (∆ ABC) = 256/ 441 and PR = 12 cm, then AC is equal to
• 5 cm (B) 16 cm (C) 12√2 cm                (D) 15.75 cm
1. In ∆ ABC, D and E are two mid-points of sides AB and AC, respectively. If BAC = 40  and     ABC = 65 , then     CED is
• 75 (B) 130 (C) 125                        (D) 105
1. AB and CD are two parallel chords of a circle lying on the opposite side of the centre and the distance between them is 17 cm. The length of AB and CD are 10 cm and 24 cm, respectively. The radius (in cm) of the circle is
• 13 (B) 9 (C) 18                          (D) 15
1. If A, B and C can complete a work in 6 days. If A can work twice faster than B and thrice faster than C, then the number of days C alone can complete the work is
• 33 (B) 11 (C) 44                          (D) 22

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