38. SSC CGL 2023 

Exam Date 27/07/2023 

Exam Time 11:45 AM - 12:45 PM 

Section : Quantitative Aptitude

Q.1 ABC is a triangle and D is a point on the side BC. If BC = 16 cm, BD = 11 cm and ∠ADC = ∠BAC, then the length of AC is equal to: 

1. 4 cm 

2. 5 cm 

3. 4 $\sqrt{5}$ cm 

4. 3 $\sqrt{5}$ cm 

Q.2 If the third proportional of 3x2 and 4xy is 48, then find the positive value of y. 

1. 5 

2. 3 

3. 4 

4. 2 

Q.3 If ${{x}^{2}}-\frac{1}{{{x}^{2}}}=4\sqrt{2}$. what is the value of ${{x}^{4}}-\frac{1}{{{x}^{4}}}$? 

1. 8 $\sqrt{2}$ 

2. 24 $\sqrt{2}$ 

3. 32 $\sqrt{2}$ 

4. 16 $\sqrt{2}$ 

Q.4 The distance between the centres of two circles having radii 22 cm and 18 cm, is 32 cm. The length (in cm) of the direct common tangent of the two circles is : 

1. 2 $\sqrt{252}$ cm 

2. 3 $\sqrt{252}$ cm 

3. 2 $\sqrt{252}$ cm 

4. 3 $\sqrt{242}$ cm 

Q.5 If (a + b + c) = 14, and (a3 + b3 + c3 – 3abc) = 98, find the value of (a2 + b2 + c2). 

1. 64 

2. 68 

3. 70 

4. 72 

Q.6 If in acute angled triangle ABC, AL, BM, and CN are the three altitudes of triangle ABC, then which of the following statements will be true? 

1. AL + BM + CN > AB + BC + CA 

2. AL + BM + CN < AB + BC + CA 

3. AL + BM + CN = AB + BC + CA 

4. AL + BM = AB + BC 

Q.7 Study the given pie-chart carefully and answer the following question. What amount (in Rs.) of the fund is acquired by the school from internal sources? 

1. 1,45,000 

2. 1,60,000 

3. 1,32,000 

4. 1,50,000 

Q.8 A laptop is sold for ₹54,000 after giving a discount of 20%. What is the list price (in ₹) of the laptop? 

1. 69500 

2. 70000 

3. 67500 

4. 64800 

Q.9 The following table shows the number of delivery partners (in thousands) who joined five different companies during six different years. 

Find the ratio of the number of delivery partners who joined Clipkart (in 2019 and 2020) to the number of delivery partners whojoined Tomato (in 2019 and 2020). 

1. 1 : 2 

2. 2 : 1 

3. 3 : 2 

4. 4 : 3 

Q.10 A certain distance is covered by a person at a certain speed. If another person covers 25% of the distance in triple the time, the ratio of the speed of the first person to that of the second person is: 

1. 1 ∶ 6 

2. 12 ∶ 1 

3. 1 ∶ 12 

4. 6 ∶ 1 

Q.11 A thief robs precious metals from a store which is 1150 m away from the police. The thief starts running at 6 km/h and the police starts chasing at 11 km/h at the same time. How much distance (in m) will the thief run before being caught? 

1. 1280 

2. 1380 

3. 1125 

4. 1485 

Q.12 A, B and C can do a piece of work in 20, 30 and 60 days, respectively. In how many days can A do the work if he is assisted by both B and C on every third day? 

1. 10 

2. 12 

3. 15 

4. 18 

Q.13 The simple interest on an amount for 6 years at 4% p.a. is ₹7,500 less than the simple interest on the same amount for 11 years. Find the amount. 

1. ₹37,000 

2. ₹37,500 

3. ₹38,500 

4. ₹38,000 

Q.14 Ram and Ramesh can do a work in 12 days, Ramesh and Somesh in 15 days and Somesh and Ram in 10 days. If Ram, Ramesh and Somesh work together, in how many days will they complete the work? 

1. 6 

2. 10 

3. 8 

4. 12 

Q.15 P, Q and R can complete a piece of work in 9, 12 and 18 days, respectively. Working together, how much work can they complete in one day? 

1. $\frac{1}{3}$ 

2. $\frac{1}{2}$ 

3. $\frac{1}{4}$ 

4. $\frac{2}{3}$ 

Q.16 If 3x = secA and $\frac{3}{x}$ =tanA then 9 $\left( {{x}^{2}}-\frac{1}{{{x}^{2}}} \right)$is . 

1. 9 

2. 3 

3. 1 

4. $\frac{1}{4}$ 

Q.17 A 6-digit number has digits as consecutive natural numbers. The number is always divisible by _____. 

1. 5 

2. 2 

3. 3 

4. 4 

Q.18 If secA + tanA = 5,then sinA is equal to: 

1. $\frac{5}{13}$ 

2. $\frac{5}{12}$ 

3. $\frac{13}{12}$ 

4. $\frac{12}{13}$ 

Q.19 Angle subtended by the largest chord of the circle to a point on the same circle measures: 

1. 186° 

2. 90° 

3. > 90° 

4. < 90° 

Q.20 Soham’s initial expenditure and savings were in the ratio of 5 : 3. His income increases by 25%. If his initial savings were ₹4,500, find his income (in ₹) after the increment. 

1. 16000 

2. 9375 

3. 12000 

4. 15000 

Q.21 Benny can do a piece of work in 24 days. Chethan and David can do the same work individually in 36 and 48 days, respectively. All of them begin the work together. However, Benny leaves the work 4 days before the completion of work and Chethan leaves the work 10 days before the completion of the work. David worked till the end and completed the work. Find the number of days in which the work was completed. 

1. 15 

2. 16 

3. 20 

4. 18 

Q.22 The value of $1\frac{3}{4}+1\frac{5}{7}\div 2\frac{3}{7}\times 2\frac{3}{7}=$? 

1. $1\frac{11}{28}$ 

2. $3\frac{13}{28}$ 

3. $2\frac{13}{28}$ 

4. $4\frac{23}{28}$ 

Q.23 A dishonest dealer sells articles at 15% loss on cost price but uses the weight of 20 g instead of 25 g. What is his profit or loss percentage? 

1. 5.25% Loss 

2. 7.55% Loss 

3. 6.25% Profit 

4. 6.50% Profit 

Q.24 Simplify the given expression. 

$\frac{\left[ 120\times 120\times 120-100\times 100\times 100 \right]}{\left[ 120\times 120+120\times 100+100\times 100 \right]}$ 

1. 15 

2. 20 

3. 25 

4. 10 

Q.25 The length of a hall is 21 m and the width is 14 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall. 

1. 8.4 m 

2. 8.8 m 

3. 8.6 m 

4. 8.2 m