35. SSC CGL 2023 

Exam Date 26/07/2023 

Exam Time 2:30 PM - 3:30 PM 

Section : Quantitative Aptitude 

Q.1 Find the value of $\frac{{{\cos }^{2}}15{}^\text{o}-{{\sin }^{2}}15{}^\text{o}}{{{\cos }^{2}}145{}^\text{o}+{{\sin }^{2}}145{}^\text{o}}$ 

1. $\frac{2}{\sqrt{3}}$ 

2. $\frac{1}{\sqrt{3}}$ 

3. $\frac{\sqrt{3}}{2}$ 

4. $\frac{1}{1-\sqrt{3}}$ 

Q.2 Abraham can complete a work in 9 days, while Andrew can complete the same work in 6 days. In how many days can they complete the work if they work together? 

1. 2 

2. $2\frac{3}{5}$ 

3. 3 

4. $3\frac{3}{5}$ 

Q.3 In a triangle ABC, the three angles are x, y and y + 10. Also, 2x − 4y = 20°. Which type of triangle is ABC? 

1. Obtuse 

2. Acute 

3. Equilateral 

4. Right-angled 

Q.4 If $\left( x+\frac{1}{x} \right)=\sqrt{6}$, and X > 1, what is the value of $\left( {{x}^{8}}-\frac{1}{{{x}^{8}}} \right)$? 

1. 108 $\sqrt{3}$ 

2. 112 $\sqrt{3}$ 

3. 120 $\sqrt{3}$ 

4. 128 $\sqrt{3}$ 

Q.5 The following graph shows the number of illiterates in different states of a country in the year 2021. 

Total illiterates in 4 states = 4,50,000 

What is the percentage of the total number of illiterates in A, B and C to the illiterates in D in 2021?  

1. 126.78% 

2. 150.57% 

3. 110.24% 

4. 127.27% 

Q.6 Rajdhani Express train of length 108 m is running at the speed of 128 km/h. Another train of length 148 m is standing at the station. In what time will the Rajdhani Express cross the other train? 

1. 7.2 seconds 

2. 8 seconds 

3. 9 seconds 

4. 7.5 seconds 

Q.7 Study the given bar-chart and answer the question that follows. 

The bar-chart shows the production of maize by a state (in 1000 tonnes) over the years. 

What was the percentage increase in the production of maize in 2019 compared to that in 2017? 

1. 200% 

2. 230% 

3. 225% 

4. 220% 

Q.8 If b = 5, determine the value of an expression $\left( \frac{5}{b}+5b \right)\left( \frac{25}{{{b}^{2}}}-25+25{{b}^{2}} \right)$ using an identity.  

1. 15438 

2. 25636 

3. 15626 

4. 25726 

Q.9 10 women take 16 days to complete a work which can be completed by 6 men in 8 days. 12 men started working and after 2 days 6 men left, and 5 women joined them. In how many days will the work be completed? 

1. $\frac{3}{2}$ 

2. $\frac{26}{5}$ 

3. $\frac{16}{5}$ 

4. $\frac{5}{2}$

Q.10 If $\cos x+\sec x=\frac{7}{2\sqrt{3}}$, then the value of cos2x + sec2x Will be ......... 

1. $\frac{25}{12}$ 

2. $\frac{15}{12}$ 

3. $\frac{10}{12}$ 

4. $\frac{25}{10}$ 

Q.11 The value of $\frac{2}{3}-\frac{5}{6}\times \frac{4}{5}\div \frac{4}{3}+\frac{1}{2}$ is: 

1. $\frac{2}{3}$ 

2. 0 

3. $-\frac{11}{60}$ 

4. $\frac{2}{5}$ 

Q.12 If a 7-storey building has a 28 m long shadow, the number of storeys of the building whose shadow is 48 m long is: 

1. 12 

2. 24 

3. 16 

4. 14 

Q.13 If $tamA=\frac{3}{8}$ , then the value of $\frac{3\sin A+2\cos A}{3\sin A-2\cos A}$ is:  

1. $\frac{25}{8}$ 

2. $-\frac{25}{7}$ 

3. $\frac{13}{21}$ 

4. $-\frac{13}{25}$

Q.14 The marked price of an article is 40% above its cost price. If its selling price is $73\frac{1}{2}$% of the marked price, then the percentage profit is: 

1. 2.7% 

2. 2.9% 

3. 2.5% 

4. 2.6% 

Q.15 Find the area of an equilateral triangle whose sides are 16 cm each. 

1. 60$\sqrt{3}$ cm2 

2. 66$\sqrt{3}$ cm2 

3. 64$\sqrt{3}$ cm2 

4. 62$\sqrt{3}$ cm2 

Q.16 When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15? 

1. 0 

2. 6 

3. 3 

4. 5 

Q.17 If $\left( x-\frac{1}{x} \right)=10$, what is the value of $\left( {{x}^{4}}+\frac{1}{{{x}^{4}}} \right)$? 

1. 10402 

2. 10404 

3. 10406 

4. 10400 

Q.18 X , Y and Z can complete a work in 5 days, 15 days and 30 days, respectively. In how days can the work be completed if X is assisted by Y and Z together, on every 2nd day? 

1. 7 days 

2. 6 days 

3. 4 days 

4. 5 days 

Q.19 A, B and C can finish a work in 15 days working alternately in the same order. Theefficiency of A is the same as that of B, and the efficiency of C is equal to that of A. In how many days will the work be finished if they work alternately in the order C, A and B? 

1. 12 

2. 15 

3. 16 

4. 14 

Q.20 tan 4384⁰ + cot 6814⁰ = ? 

1. −1 

2. 1 

3. 0 

4. 2 

Q.21 A cyclist rides 20 km in 120 minutes and rides another 25 km in 150 minutes. What is the average speed of the cyclist, in km/h? 

1. 15 

2. 12.5 

3. 11 

4. 10 

Q.22 What is the present worth of ₹1,100 due in 2 years at 5% simple interest per annum? 

1. ₹1,000 

2. ₹1,500 

3. ₹3,000 

4. ₹2,000 

Q.23 If the side of a cubical box is 12 cm, then find its total surface area. 

1. 64 cm2 

2. 864 cm2 

3. 952 cm2 

4. 792 cm2 

Q.24 A father gives 8% of his monthly income to both his sons as pocket money. The elderson gets 85% of the total amount given to both the sons. He spend 90% of the amount and saves ₹17. What is the monthly income of father? 

1. ₹5,000 

2. ₹3,500 

3. ₹4,500 

4. ₹2,500 

Q.25 Sita sold a whiteboard marker set at 10% profit. On selling it for Rs.20 more, she would have earned a profit of 15%. What is the cost price of the whiteboard marker set? 

1. Rs.300 

2. Rs.450 

3. Rs.400 

4. Rs.350