Mock Test : Quantitative Aptitude SSC CGL Tier I 2023 Previous year Solved Question Paper

1. The lengths of the three sides of a triangle are 30 cm, 42 cm and x cm.
Which of the following is correct?

12 ≤ x < 72

12 > x > 72

12 < x < 72

12 ≤ x ≤ 72

Question 1 of 25

2. The largest 5-digit number exactly divisible by 88 is:

99990

99984

99978

99968

Question 2 of 25

3. The following pie chart shows the monthly sale of laptops of five companies A, B, C, D and E in a store.

If 2,500 laptops were sold by the store in a month, then what is the difference between the number of laptops sold of Company A and that of Company C?

750

650

800

700

Question 3 of 25

4. If a + \(\frac{1}{a}\) 7, then a⁵ + \(\frac{1}{a⁵}\) is equal to:

15127

13127

14527

11512

Question 4 of 25

5. Find the value of cos47°sec133° + sin44°cosec136°.

\(\frac{1}{2}\)

−1

Question 5 of 25

6. A, B and C run simultaneously, starting from a point, around a circular track of length 1200 m, at respective speeds of 2 m/s, 4 m/s and 6 m/s.
A and B run in the same direction, while C runs in the opposite direction to the other two.
After how much time will they meet for the first time?

10 minutes

9 minutes

12 minutes

11 minutes

Question 6 of 25

7. A sum of money invested at a certain rate of simple interest per annum amounts to ₹14,522 in seven years and to ₹18,906 in eleven years.
Find the sum invested (in ₹).

6850

6900

6800

6750

Question 7 of 25

8. If the side of an equilateral triangle is increased by 34%, then by what percentage will its area increase?

70.65%

79.56%

68.25%

75.15%

Question 8 of 25

9. Find the sum of 3 + 3² + 3³ + ... + 3⁸.

6561

6560

9840

3280

Question 9 of 25

10. A, B and C can do a piece of work in 30 days, 40 days and 50 days, respectively.
Beginning with A, if A, B and C do the work alternatively then in how many days will the work be finished?

38\(\frac{1}{12}\)

36\(\frac{1}{2}\)

39\(\frac{1}{12}\)

Question 10 of 25

11. A thief is spotted by a constable from 200 m.
When the constable starts the chase, the thief also starts running.
If the speed of the constable is 8 km/h and thief runs at the speed of 6 km/h, then how far (in m) will the thief be able to run before he is overtaken?

600

400

550

500

Question 11 of 25

12. In a bag containing red, green and blue pens, the ratio of red, blue and green pens, in the given order, was 7:4:9.
If the total number of pens in the bag was 320, how many of them were red?

112

105

119

126

Question 12 of 25

13. Ravi can do a piece of work in 40 days and Sudha can do the same piece of work in 60 days.
If they work on alternative days starting with Sudha on the first day, then in how many days will the work be completed?

Question 13 of 25

14. An arc of length 23.1 cm subtends an 18° angle at the centre.
What is the area of the circle? [Use π 22/7 ]

16978.50 cm²

16988.50 cm²

16878.50 cm²

16798.50 cm²

Question 14 of 25

15. Study the given table and answer the question that follows.
The table shows the number of candidates who appeared (App), qualified (Qual) and selected (Sel) in a
competitive examination from four states Delhi, Goa, Karnataka, and Maharashtra over the years 2012 to 2016

The number of candidates selected from Maharashtra during the period under review is approximately what
percentage of the number selected from Delhi during this period?

96.79%

92.79%

93.39%

94.79%

Question 15 of 25

16. If \(\tan(\pi/6) + \sec(\pi/6) = x\), then find x.

√3

1/√3

–1/√3

2/√3

Question 16 of 25

17. What is the whole surface area of a cone of base radius 6 cm and height 8 cm?

354.50 cm²

350.51 cm²

301.71 cm²

364.61 cm²

Question 17 of 25

18. 15 men can complete a work in 25 days, and 25 women can complete the same work in 40 days.
If all the 15 men and 25 women work together, in how many days will the work get completed?

15 \(\frac{5}{13}\) days

10 \(\frac{5}{13}\) days

15 \(\frac{5}{12}\) days

15 \(\frac{4}{13}\) days

Question 18 of 25

19. Suhani pays tax at the rate of 30% on her entire income of ₹90,000 and Ritika pays tax at the rate of 40% on her entire income of ₹y.
If the overall tax rate on their combined income comes to 37%, then what is the value of y?

₹2,04,000

₹2,16,000

₹2,13,000

₹2,10,000

Question 19 of 25

20. Working 5 hours a day, A can complete a task in 8 days and working 6 hours a day, B can finish the same task in 10 days.
Working 8 hours a day, they can jointly complete the task in ________.

5 days

3 days

4.5 days

6 days

Question 20 of 25

21. Simplify,

\(x^{2}-2x+1\)

\(x^{2}+2x+2\)

\(x^{2}+2x+1\)

\(x^{2}+x+1\)

Question 21 of 25

22. If \(x - \frac{1}{x} = \sqrt{6}, x>1\), what is the value of \(x^8 - \frac{1}{x^8}\)?

\(1024\sqrt{15}\)

\(992\sqrt{15}\)

\(998\sqrt{15}\)

\(1012\sqrt{15}\)

Question 22 of 25

23. The successive discounts of 12%, 20% and 25% is equivalent to a single discount of:

52.2%

49.5%

47.2%

57.0%

Question 23 of 25

24. If \(\sin \theta = \frac{4}{5}\), find the value of \(\tan \theta - \cot \theta\).

\(\frac{5}{12}\)

\(\frac{7}{9}\)

\(\frac{7}{12}\)

\(\frac{7}{8}\)

Question 24 of 25

25. Ram sells a suitcase to Mohan at a 20% profit.
Mohan sells it to Shyam at a 40% profit.
If Shyam pays ₹1430 for it, then the price at which Ram bought it is:

₹875

₹870

₹880

₹851.19

Question 25 of 25

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