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Sunday, 12 February 2023

SSC CGL Exam 2022 Quantitative Aptitude Shift II

 01) A, B and C started a business in partnership. Initially, A invested Rs. 29,000. While B and C invested Rs25,000 each. After 4 months. A withdrew Rs. 3,000. After 2 more months. C invested Rs. 12, 000 more. Find share of C (in Rs.) in the profit of Rs. 33,200 at the end of the year.

          a) 10, 800

          b) 10,000

          c) 11,067

          d) 12,400

02) If cos(A – B) = √3/2 and SecA =2, 00 ≤ A ≤ 900, 00 ≤ B ≤ 900, then what is the measure of B?

          a) 600

          b) 00

          c) 300

          d) 900

03) An alloy contains 40% of silver, 30% of copper and 30% of nickel. How much silver (in kg) should be added to 25 kg of the alloy so that the new alloy contains 50% of silver?

          a) 5

          b) 10

          c) 12

          d) 20

04) Study the given bar graph and answer the question that follows.

          The bar graph shows the exports of cars of type A and B (in Rs. millions) from 2014 to 2018

          Bar Diagram Here Update Soon

          a) 2015

          b) 2014

          c) 2017

          d) 2016

05) The given bar graph shows exports of cars of type A and B (in Rs. millions) from 2014 to 2018. Study the graph and answer the question that follows.

Exports of Cars of Type A and B (in Rs. millions) from 2014 to 2018.

          Bar Diagram Here Update Soon

The total exports of cars of type B in 2014 to 2017 is what per cent more than the total exports of cars of type A in 2015 to 2028? (Correct to one decimal place)

          a) 5.6%

          b) 4.9%

          c) 6.5%

          d) 7.2%

06) The given histogram shows the daily wages (in Rs.) of workers in a factory.

          Study the histogram and answer the question that follows

         

          The number of workers with daily wages less than Rs.180 is what percentage of the number of workers with daily wages more than Rs.190? Express your answer correct to one decimal place.

          a) 85.6%

          b) 86.7%

          c) 75.8%

          d) 74.8%

07) In a circle with centre O, chords PR and QS meet at the point T. when produced, and PQ is a diameter. If   ROS = 420, then the measure of   PTQ is

07) Update soon 

         a) 590

          b) 580

          c) 480

          d) 690

08) O is the centre of a circle with diameter 20 cm. T is a point outside the circle and TA is a tangent to a circle. If OT is = 26 cm, what is the length (in cm) of the tangent TA?

          a) 20

          b) 26

          c) 24

          d) 18

09) Find the value of the following expression:

980 ÷ 35 x 16 + 4 – 2 x 2

          a) 15/2

          b) 448

          c) 7/4

          d) 556

10) What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

          a) 4√3

          b) 3√2

          c) 4√2

          d) 3√5

11) A sum invested at compound interest amounts to Rs. 7,800 in 3 years and Rs.11,232 in 5 years. What is the rate per cent?

          a) 26%

          b) 20%

          c) 15%

          d) 18%

12) The width of the path around a square field is 4.5 m and its area is 105.75 m2. Find the cost of fencing the path at the rate of Rs. 100 per metre.

          a) Rs. 550

          b) Rs. 600

          c) Rs. 275

          d) Rs. 400

13) The length and the breadth of a rectangle are made to increase and decrease, respectively, by 8% and 10%. What is the percentage increase or decrease in its area?

          a) Decrease by 1.8%

          b) Increase by 1.8%

          c) Increase by 2.8%

          d) Decrease by 2.8%

14) A vertical pole and a vertical tower are on the same level of ground in such a way that from the top of the pole, the angle of elevation of the top of the tower is 600 and the angle of depression of the bottom of the tower is 300. If the height of the tower is 76 m, then find the height (in m) of the pole.

          a) 3.8

          b) 19√3

          c) 19

          d) 57

15) A pole 23 m long reaches a window which is 3 √5 m above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window 4 √15 m high. What is the width (in m) of the street?

          a) 17

          b) 35

          c) 39

          d) 22

16) X, Y and Z can do a piece of work in 46 days, 92 days and 23 days, respectively. X started the work. Y joined him after 2 days if Z joined them after 8 days from the beginning, then for how many days did X work?

          a) 16

          b) 21

          c) 18

          d) 13

17) What is the value of:

8√3 sin 300 tan 600 – 3 cos 00 + 3 sin2 450 + 2 cos2 30?

          a) 15

          b) 12

          c) 9

          d) 18

18) A car runs first 275 km at an average speed of 50 kmph and the next 315 km at an average speed of 70 kmph. what is the average speed (in km/h) for the entire journey?

          a) 58.5

          b) 60

          c) 59

          d) 62


19) Update soon

          a) 8

          b) 3

          c) 5

          d) 7

20) Find the greatest number which divides 108, 124 and 156, leaving the same remainder.

          a) 18

          b) 10

          c) 12

          d) 16

21) Monthly expenditure of a family on different heads is shown in the following pie chart. The family earns Rs. 1,08,000 every month.

    Pi Chart here Update soon

          The money (in Rs.) spent of Misc. Expenses is how much more than spent on Children Education?

          a) 1,800

          b) 1,300

          c) 1,500

          d) 1,200

22) The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the article is sold for Rs. 448. What will be the selling price of the article if it is sold at a 10% loss?

          a) Rs. 576

          b) Rs. 540

          c) Rs. 625

          d) Rs. 640

23) In the first 10 overs of a cricket game, the run rate was only 7.2. What should be the average run rate in the remaining 40 overs to reach the target of 272 runs?

          a) 4

          b) 5

          c) 6

          d) 7

24) How many numbers are there from 500 to 650 (including both) which are neither divisible by 3 nor by 7?

          a) 21

          b) 121

          c) 87

          d) 99

25) Simplify the following expression:

          Update Soon

          a) –(a + 2b) (b + 2c) (4c +a)

          b) 2(a + 2b) (b + 2c) (4c +a)

          c) (a + 2b) (b + 2c) (4c +a)

          d) 4(a + 2b) (b + 2c) (4c +a)

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