33. SSC CGL 2023 

Exam Date 26/07/2023 

Exam Time 9:00 AM - 10:00 AM 

Section : Quantitative Aptitude 

Q.1 A shopkeeper sells his goods by allowing 18% discount and still earns 30% profit. If he sells his goods by allowing 12% discount on the marked price, then what will be his profit percentage (correct to 2 decimal places)? 

1. 39.51% 

2. 42.62% 

3. 40.35% 

4. 35.415% 

Q.2 Find the value of the given expression. 

1755 ÷ 39 × (8 − 28 ÷ 4) − 2 

1. 43 

2. 270 

3. −45 

4. −315 

Q.3 R’s weighing machine shows 400 gm when the actual weight is 350 gm. The cost price of almonds is ₹880 per kg and packets of 200 gm are made using the faulty machine. What should be the selling price (in ₹) of each packet to get a profit of 25%? 

1. 197.50 

2. 182.50 

3. 175.50 

4. 192.50 

Q.4 A group of men decided to do a job in 11 days but 16 men left the work after each day. The work, as a result, got completed in 15 days. How many men were there initially in the group? 

1. 480 

2. 420 

3. 450 

4. 400 

Q.5 There are two circles that touch each other externally. Radius of the first circle with centre O is 12 cm. Radius of the second circle with centre A is 8 cm. Find the length of their common tangent BC. 

1. $6\sqrt{6}$ cm 

2. $8\sqrt{2}$cm 

3. $8\sqrt{3}$ cm 

4. $8\sqrt{6}$ cm 

Q.6 A thief steals an item and escapes, running at 20 km/h. A policeman arrives at the spot of the crime after 6 minutes and immediately starts chasing the thief. 24 minutes after the policeman started to chase the thief, there is still a gap of 400 m between the two. At what distance from the spot of crime would the policeman catch up with the thief, and what is the speed at which the policeman ran? 

1. 15 km; 25 km/h 

2. 14.4 km; 24 km/h 

3. 12 km; 24 km/h 

4. 10 km; 25 km/h 

Q.7 The following bar chart shows the trends of foreign direct investment (FDI) into India from all over the world. 

What was the average of India’s FDI over the years 1992-1995 (rounded off to the nearest integer)? 

1. 10 

2. 9 

3. 7 

4. 8 

Q.8 If the slant height of a cone is 60 cm and the radius of its base is 21 cm, then find its curved surface area. (use $\pi =\frac{22}{7}$) 

1. 3880 cm2 

2. 4020 cm2 

3. 3960 cm2 

4. 3820 cm2 

Q.9 The following table shows the percentage of population of five states below poverty line and the proportion of males and females below and above poverty line.  

If the population of State B and State C is 6,000 each, then what is the total number of females below poverty line in these two states? 

1. 720 

2. 750 

3. 740 

4. 780 

Q.10 A boat goes 20 km upstream and 44 km downstream in 8 hours. In 5 hours, it goes 15 km upstream and 22 km downstream. Determine the speed of the boat in still water. 

1. 8 km/h 

2. 6 km/h 

3. 10 km/h 

4. 7 km/h 

Q.11 The value of cosec 30° − cos 60° is: 

1. 1 

2. $\frac{3}{2}$ 

3. $\frac{2\sqrt{2}-1}{\sqrt{2}}$ 

4. $\frac{1}{2}$ 

Q.12 Ravi initially used to save 20% of his monthly income. Recently his monthly income was raised by 25%. His nominal savings also went up by 5%. What percentage of his present nominal income does Ravi currently save? 

1. 20% 

2. 15% 

3. 25% 

4. 16.8% 

Q.13 If $\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)=6$, and 0 < x < 1, what is the value of ${{x}^{2}}-\frac{1}{{{x}^{4}}}$? 

1. $-12\sqrt{10}$ 

2. $12\sqrt{10}$ 

3. $-24\sqrt{2}$ 

4. $24\sqrt{2}$ 

Q.14 A four-digits number abba is divisible by 4 and a<b. How many such numbers are there? 

1. 12 

2. 10 

3. 8 

4. 6 

Q.15 In ∆ABC , DE || BC and $\frac{AD}{BD}=\frac{4}{5}$.If DE= 12 cm. find the length of BC. 

1. 48 cm 

2. 12 cm 

3. 30 cm 

4. 27 cm 

Q.16 4 men’s work is equal to 6 women’s work, and 4 women’s work is equal to 6 boys’ work. A boy can finish the work in 60 days. In how many days can the work be finished by a man and a woman together? 

1. 20 

2. 16 

3. 24 

4. 12

Q.17 At what rate percent per annum simple interest, a sum of money triples itself in 16 years? 

1. 11.5% 

2. 11% 

3. 12% 

4. 12.5% 

Q.18 If X2 – 8x – 1 = 0, What is the value of ${{x}^{2}}+\frac{1}{{{x}^{2}}}$? 

1. 62 

2. 64 

3. 68 

4. 66 

Q.19 A policeman saw a thief at a distance of 400 m. The thief started running at a speed of10 km/h and the policeman chased him at a speed of 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief? 

1. 3 km 

2. 2 km 

3. 2.8 km 

4. 2.4 km 

Q.20 In the given figure, 0 is the centre of the circle and ∠AOB=130 ° . Find ∠APB. 

1. 95° 

2. 115° 

3. 110° 

4. 100° 

Q.21 If 2, (x > 0), then the value of $x+\frac{1}{x}$is: 

1. $\sqrt{17}$ 

2. $\sqrt{15}$ 

3. $\sqrt{13}$ 

4. $\sqrt{11}$ 

Q.22 A vessel is filled with liquid, 5 parts of which are water and 11 parts syrup. What part ofthe mixture must be drawn off and replaced with water so that the mixture may be syrup and water in the ratio 3 : 2? 

1. $\frac{27}{35}$ 

2. $\frac{36}{65}$ 

3. $\frac{7}{55}$ 

4. $\frac{14}{45}$ 

Q.23 Which of the following sets of lengths (in cm) will give three sides of an obtuse-angled triangle? 

1. 18, 65, 67 

2. 17, 64, 66 

3. 16, 63, 65 

4. 15, 62, 64 

Q.24 Which of the following is the least? 

12% of 625 

15% of 555 

10% of 720 

9% of 845 

1. 9% of 845 

2. 12% of 625 

3. 15% of 555 

4. 10% of 720 

Q.25 If cosA + cos2A = 1 . then the value of sin4A + Sin6A is : 

1. 2 

2. sin A 

3. cos A 

4. 1