5. SSC CGL 2023 

Exam Date 14/07/2023 

Exam Time 5:15 PM - 6:15 PM 

Quantitative Aptitude

Q.1 Pipe A can fill an empty tank in 18 hours and pipe B can fill the same empty tank in 24 hours. If both the pipes are opened simultaneously, how much time (in hours) will they take to fill the empty tank? 

1. \[11\frac{3}{7}\] 

2. \[10\frac{1}{7}\] 

3. \[10\frac{2}{7}\] 

4. \[11\frac{2}{7}\] 

Q.2 Ranu carries water to school in a cylindrical flask with diameter 12 cm and height 21 cm. Determine the amount of water that she can carry in the flask. (Use \[\pi =\frac{22}{7}\])  

1. 2370 cm3 

2. 2376 cm3 

3. 2374 cm3 

4. 2372 cm3 

Q.3 A, B and C can separately complete a work in 12, 15 and 20 days, respectively. They worked together 4 days. What will be the remaining work? 

1. \[\frac{1}{9}\] 2.  \[\frac{1}{6}\] 

3. \[\frac{1}{2}\] 

4. \[\frac{1}{5}\] 

Q.4 In the given figure, 'G' is the centre of the circle. Find the angle ACB when ∠AGB = 132°.  

1. 60° 

2. 64° 

3. 66° 

4. 62° 

Q.5 Simplify the following expression. 

(2 × 7 – 5 + 9 ÷ 3 ) ÷ (4 + 2)2× 2 

1. \[\frac{3}{2}\] 

2. 1.5 

3. \[\frac{2}{3}\] 

4. 2 

Q.6 If x > O, and \[{{x}^{4}}+\frac{1}{{{x}^{4}}}=254\], what is the value of \[{{x}^{5}}+\frac{1}{{{x}^{5}}}?\] 

1. 720\[\sqrt{2}\] 

2. 726\[\sqrt{2}\] 

3. 717\[\sqrt{2}\] 

4. 723\[\sqrt{2}\] 

Q.7 A shopkeeper gains 20% in place of 16% loss if the selling price of an article is increased by ₹324. The cost price of the article is: 

1. 750 

2. 1350 

3. 60 

4. 900 

Q.8 A policeman follows a thief, who is 1250 m ahead of him. The policeman and the thief run at the speed of 10 km/h and 8 km/h, respectively. The distance (in km) run by the thief before he is nabbed by the policeman is: 

1. 5 

2. 7 

3. 4 

4. 6 

Q.9 If secθ + tanθ = 5, ( θ ≠ 0), then secθ is equal to: 

1. \[\frac{1}{2}\left( 5+\frac{1}{5} \right)\] 

2. \[\left( 3+\frac{1}{3} \right)\] 

3. \[\left( 5+\frac{1}{5} \right)\] 

4. \[\frac{1}{2}\left( 3+\frac{1}{3} \right)\] 

Q.10 If sec θ + cos θ = 32, then sec2θ + cos2θ is _________. 

1. 1024 

2. 1022 

3. 1020 

4. 1000 

Q.11 A man takes 15 minutes to row 16 km downstream, which is 25% less than the time he takes to row the same distance upstream. How many kilometres can the man row in an hour in still water? (Rounded off to nearest whole number) 

1. 56 

2. 58 

3. 54 

4. 60 

Q.12 If a = 17 ,b = 13, then find the value of the expression (a3 - b3 - 3a2 b + 3ab2). 

1. − 27000 

2. − 64 

3. 64 

4. 27000

Q.13 The ratio of the number of boys to that of the girls in a school is 11 : 15. If there are 200more girls than boys in the school, what is the number of boys in that school? 

1. 550 

2. 506 

3. 750 

4. 605 

Q.14 The following table shows the number of sweets manufactured by six factories. 

What is the respective ratio of sweets manufactured by factories P, Q and R together in the year 1998. to the sweets manufactured by factories S, T and U together in the same year? 

1. 40 : 51 

2. 61 : 42 

3. 61 : 72 

4. 568 : 499 

Q.15 In a mixture of 55 litres, fruit juice and water are in the ratio of 4 : 1. How much water (in litres) must be added to make the mixture ratio 2 : 1? 

1. 12 

2. 22 

3. 11 

4. 9 

Q.16 Three successive discounts of 15%, 20% and 25% are given. What will be the net discount in percentage? 

1. 49% 

2. 40% 

3. 52% 

4. 46% 

Q.17 To do a certain work, Ajay and Bharat work on alternate days, with Bharat starting the work on the first day. Ajay can finish the work alone in 32 days. If the work gets completed in exactly 8 days, then Bharat alone can finish 7 times the same work in _____________ days. 

1. 32 

2. \[\frac{28}{8}\] 

3. \[\frac{32}{7}\] 

4. 4 

Q.18 In a circle, a 14 cm long chord is at 24 cm from the centre of the circle. Find the length of the radius of the circle. 

1. 50 cm 

2. 27 cm 

3. 30 cm 

4. 25 cm 

Q.19 The ages of Gyanendra and Arbind are in the ratio 6 : 5. If the sum of their ages is 55 years, then what will be the ratio of their ages after seven years from now? 

1. 37 : 32 

2. 5 : 6 

3. 32 : 37 

4. 6 : 5 

Q.20 Study the given bar-graph and answer the question that follows- 

The bar graph shows the sales of cycles (in 1000 numbers) from four different companies during 2018. 

What is the average sales of all the companies (in 1000 numbers) for the year 2018? 

1. 24,000 

2. 34,000 

3. 45,000 

4. 54,000 

Q.21 Simplify the following. 

\[\frac{{{\sin }^{3}}\alpha +{{\cos }^{3}}\alpha }{\sin \alpha +\cos \alpha }\] 

1. 1 + sin α cos α 

2. 1 - sin α cos α 

3. sec α 

4. tan α 

Q.22 If ₹72 amounts to ₹104.4 in 3 years, what will ₹120 amount to in 5 years at the same rate percent per annum? 

1. ₹450 

2. ₹330 

3. ₹210 

4. ₹215 

Q.23 Simplify the given expression. 

18 ÷ 3 of 2 × 5 + 72 ÷ 18 of 2 × 3 - 4 ÷ 8 × 2 

1. 20 

2. \[\frac{25}{3}\] 

3. 25 

4. \[\frac{20}{3}\] 

Q.24 The ratio between the monthly income and the expenditure of Vaidic is 8 : 5. If his income increases by 20% and his expenditure increases by 30%, then find the percentage increase or decrease in his monthly savings. 

1. \[5\frac{2}{3}%\] increase  

2. \[3\frac{1}{3}%\] decrease 

3. \[5\frac{2}{3}%\] decrease 

4. \[3\frac{1}{3}%\] increase 

Q.25 If \[\Delta XYZ\cong \Delta LMR\], then m + x + p = .......... 

1. 9 

2. 13 

3. 7 

4. 6