Mock Test : Quantitative Aptitude SSC CGL Tier I 2023 Solved Questions Paper 17 July

1. Simplify 2.5 × [144 ÷ 198 × {121 × 81 ÷ (11 × 9)}]

180

175

185

190

Question 1 of 25

2. There are 3 members in a family.The average age of the father and mother is 40 years.The average age of the father, mother and daughter is 30 years.Find the age (in years) of the daughter.

Question 2 of 25

3. A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less.Find his actual profit percentage.

42.5%

50%

40%

43.75%

Question 3 of 25

4. Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8.

Question 4 of 25

5. Simplify the following expression: (3x + 5)² + (3x – 5)²

500x

450x

9x² + 50

2(9x² +25)

Question 5 of 25

6. The volume of a cone with height equal to radius, and slant height 5 cm is:

Question 6 of 25

7. A policeman noticed a thief from 300 m.The thief started running and the policeman was chasing him.The thief and the policeman ran at the speeds of 8 km/h and 9 km/h, respectively.What was the distance between them after 3 minutes?

225 m

250 m

300 m

200 m

Question 7 of 25

8. If sin t + cos t = 4/5, then find sin t · cos t.

–9/25

–9/50

9/25

9/50

Question 8 of 25

9. Simplify the given expression: y + 2x – [(y – (y – x + y) – (x + y) + y)] – 2y.

–y

–2x

Question 9 of 25

10. A, B and C, working alone, can complete a job in 16, 24 and 36 days, respectively. In how many days can they complete the job if they work together?

Question 10 of 25

11. A person deposited ₹500 for 3 years, ₹650 for 5 years, and ₹1,250 for 7 years.He received a total simple interest of ₹1,620.The rate of interest per annum is:

12%

13%

10.8%

11%

Question 11 of 25

12. Rakshit, Ajay, and Satish are sanitation workers in a Municipal Corporation.Rakshit alone takes 20 hours to clean a drain while Ajay takes 12 hours when working alone to do the same.All three together take only 5 hours to clean the drain.In how many hours can Satish complete the work alone?

Question 12 of 25

13. ΔABC ~ ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively.If DE = 6 cm, then AB is:

12.6 cm

24 cm

20 cm

10 cm

Question 13 of 25

14. On a circular path of 693 m, Sujata and Anjali start walking from the same point but in the opposite directions at the speed of 2.85 km/h and 1.5 m/sec, respectively.When will they meet for the first time?

After 6.75 minutes

After 6.05 minutes

After 5.04 minutes

After 4.56 minutes

Question 14 of 25

15. Select the INCORRECT formula from the following options.

sec² θ – tan² θ = 1

sin² θ + cos² θ = 1

cosec² θ – cot² θ = 1

sec² θ + cos² θ = 1

Question 15 of 25

16. 15 men and 25 women can complete a piece of work in 9.6 days.If 16 women can complete the same work in 27 days, find the number of days in which 16 men can complete the same work.

22.50

20.25

19.20

21.60

Question 16 of 25

17. Industrial growth of different countries (in crores of ₹):

How many countries' industrial growth is more than the average industrial growth?

Question 17 of 25

18. If the area of a circle is 616 cm² and a chord XY = 10 cm, then find the perpendicular distance from the center of the circle to the chord XY.

Question 18 of 25

19. Find the value of sin² 25 + sin² 65.

–1

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

Question 19 of 25

20. Select the correct statement with respect to the below bar graph.

Rice production by A in 2016 is less than the rice production by C in 2020.

B produced more rice than A and C in 2018.

The highest production of rice was in the year 2017.

Rice production by B in 2017 is equal to the rice production by A in 2020.

Question 20 of 25

21. If x% of 280 = 15% of 240 + 20% of 310, then the value of x is:

Question 21 of 25

22. \(
\text{If } \left(x^{2} + \frac{1}{x^{2}}\right) = 7, \text{ and } 0 < x < 1, \text{ find the value of } x^{2} - \frac{1}{x^{2}}.
\)

\(3\sqrt{5}\ \)

\(4\sqrt{3}\ \)

\(-4\sqrt{3}\ \)

\(-3\sqrt{5}\ \)

Question 22 of 25

23. A shopkeeper offers the following discount schemes for buyers on an article:
Two successive discounts of 15% each
ii.A discount of 25% followed by a discount of 5%
iii.Two successive discounts of 20% and 10%
iv.A discount of 30%
Under which scheme will the selling price be maximum?

Scheme iv

Scheme iii

Scheme ii

Scheme i

Question 23 of 25

24. The area of two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7.Find the ratio of their bases.

3 : 5

7 : 3

7 : 5

2 : 3

Question 24 of 25

25. If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.

\(2\sqrt{6}\ \)

\(\sqrt{14}\ \)

\(\sqrt{6}\ \)

Question 25 of 25

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