9. SSC CGL 2023

Exam Date 18/07/2023

Exam Time 11:45 AM - 12:45 PM

Quantitative Aptitude 

Q.1 What is the value of (27x3 – 58x2y + 31xy3 – 8y3), when x = – 5 and y = – 7? 

1. – 1926 

2. – 1924 

3. 1926 

4. 1924 

Q.2 A part of a journey is covered in 37.5 minutes at 90 km/h and the remaining part in 14 minutes at 80 km/h. The total distance (in km) of the journey is: 

1. $78\frac{5}{12}$ 

2. $62\frac{11}{12}$ 

3. $76\frac{11}{12}$ 

4. $74\frac{11}{12}$ 

Q.3 Study the given pie-chart carefully and answer the following question. If scholarship has to be paid out of the donation fund, then what is the percentage of donation fund used for this purpose (rounded off to two decimal places)?  

1. 75.25% 

2. 80.25% 

3. 74.29% 

4. 72.15% 

Q.4 The following table shows the scores of three attempts of Archery players in a tournament. The player scoring the highest average score was declared the best player. Who was the best player? 

1. Preeti 

2. Deepika 

3. Angela 

4. Maria 

Q.5 20 students of a college went to a hotel. 19 of them spent ₹175 each on their meal and the 20th student spent ₹19 more than the average of all the 20. Find the total money spent by them. 

1. ₹3,520 

2. ₹3,540 

3. ₹3,500 

4. ₹3,490 

Q.6 If $\left( x+\frac{1}{x} \right)=10$, what is the value of $\left( {{x}^{4}}+\frac{1}{{{x}^{4}}} \right)$? 

1. 9604 

2. 9606 

3. 9602 

4. 9600 

Q.7 A can do 20% of a job in 7 days and B can do 25% of the job in 7 days if they worked alone. How much of the job (in percentage) can they complete in 7 days if they worked together? 

1. 56% 

2. 45% 

3. 38% 

4. 52% 

Q.8 A sector of a circle of radius 10 cm is formed at 60° angle at the centre. What will be its area (take π = 3.14)? 

1. 75.28 cm2 

2. 55.00 cm2 

3. 60.67 cm2 

4. 52.33 cm2 

Q.9 During a division, Pranjal mistakenly took as the dividend a number that was 10% more than the original dividend. He also mistakenly took as the divisor a number that as 25% more than the original divisor. If the correct quotient of the original division problem was 25 and the remainder was 0, what was the quotient that Pranjal obtained, assuming his calculations had no error? 

1. 21.75 

2. 28.75 

3. 21.25 

4. 22 

Q.10 18 ÷ {(6 of 2 − 4)} × 5(6 − 3) = ________. 

1. $\frac{153}{4}$ 

2. $\frac{135}{4}$ 

3. $\frac{145}{4}$ 

4. $\frac{154}{4}$ 

Q.11 The area of the sector of a circle of radius 12 cm is 32 π cm2. Find the length of the corresponding arc of the sector. 

1. $\frac{16}{3}\pi $cm 

2. $\frac{10}{3}\pi $ cm 

3. $\frac{8}{3}\pi $ cm 

4. $\frac{13}{3}\pi $ cm 

Q.12 A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30°. At what approximate distance (in metres) is the person standing away from the building. 

1. 1542 

2. 936 

3. 1000 

4. 1732 

Q.13 15 men and 21 women, working together, can do a job in 56 days, while 12 men and 24 women, working together, can do the same job in 64 days. In how many days can the same job be done by 18 men and 24 women, working together? 

1. $47\frac{5}{19}$ 

2. $47\frac{3}{19}$ 

3. $47\frac{6}{19}$ 

4. $47\frac{9}{19}$ 

Q.14 A dealer marks his goods at 20% above the cost price and allows a discount of 15% on the marked price. What is his gain or loss percentage? 

1. 4% loss 

2. 4% gain 

3. 2% loss 

4. 2% gain 

Q.15 A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by: 

1. 3 

2. 7 

3. 2 

4. 5 

Q.16 A spherical ball of lead, 3 cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are $\frac{3}{2}$ cm and 2 cm. respectively. Find the diameter of the third ball. 

1. 2.5 cm 

2. 3.3 cm 

3. 2.1 cm 

4. 3 cm 

Q.17 Which of the following statements is INCORRECT? 

1. Circles are congruent to each other if they have equal radii. 

2. The ratio of circumference of two circles is equal to the ratio of their radii. 

3. The perpendicular drawn from the center of the circle on the chord of the circle bisects the chord. 

4. Radius is the longest chord of a circle. 

Q.18 In the given figure. if AD $\bot $ BC, AC = 26 units ,CD = 10 units, BC = 42 units, ∠DAC = x and ∠B = y . then the value $\frac{6}{\cos x}-\frac{5}{\cos y}+8\tan y$ is: 

1. $\frac{15}{7}$ units 

2. $\frac{13}{6}$ units 

3. $\frac{25}{4}$ units 

4. $\frac{16}{9}$ units 

Q.19 Money was lent on Simple interest. After 12 years, its Simple interest becomes $\frac{3}{5}$ of the money. Find the rate of interest. 

1. 3% p.a. 

2. 5% p.a. 

3. 4% p.a. 

4. 2% p.a. 

Q.20 Simplify the expression. 

$\frac{{{3.35}^{2}}-{{1.25}^{2}}}{3.35+1.25}$=? 

1. 4.10 

2. 2.1 

3. 4.60 

4. 3.10 

Q.21 A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to finish the remaining work? 

1. 16 days 

2. 14 days 

3. 10 days 

4. 12 days 

Q.22 Racer A and racer B run a race of 18 km on a circular track of length 800 m. Both complete one round in 200 sec and 250 sec, respectively. After how much time from the start will the faster person meet the slower person for the last time? 

1. 4000 sec 

2. 1800 sec 

3. 2250 sec 

4. 2700 sec 

Q.23 If the selling price of an article is doubled, then the profit becomes four times. What was the original profit percentage? 

1. 100% 

2. 25% 

3. 75% 

4. 50% 

Q.24 $\frac{{{\sin }^{4}}\theta +{{\cos }^{4}}\theta }{1-2{{\sin }^{2}}\theta .{{\cos }^{2}}\theta }=................$ 

1. 0 

2. −1 

3. 1 

4. 2 

Q.25 What is the value of $\frac{x}{y}$ if $\frac{x-5y}{x+5y}=\frac{7}{13}$. 

1. $\frac{50}{3}$ 

2. $\frac{100}{7}$ 

3. $\frac{24}{9}$ 

4. $\frac{23}{7}$