1. SSC CGL 2023

Exam Date 24/07/2023

Exam Time 9:00 AM - 10:00 AM

Section : Quantitative Aptitude 

Q.1 Ankita sold her watch at 5% loss. If she had sold it for ₹300 more, she would have gained 5%. Find the selling price of the watch. 

1. ₹2,750

2. ₹2,900 

3. ₹3,000

4. ₹2,850 

Q.2 The length of each side of a triangle is 12 cm. What is the length of the circumradius of the triangle? 

1. 2√ 3

2. 8√ 3 

3. 6√ 3

4. 4√ 3 

Q.3 P takes twice as long as Q or three times as long as R to complete a task. If they work together, they can complete the task in two days. How long will it take Q to complete the task on his own? 

1. 7 days

2. 5 days 

3. 6 days

4. 8 days 

Q.4 The ratio of the length to width of a certain rectangle is 3 : 2 and the area is 150 cm² . The perimeter of the rectangle (in cm) is: 

1. 20

2. 30 

3. 40

4. 50 

Q.5 A one metre pipe is made with inner diameter equal to outer radius. How much material (in cubic units) is required to make the pipe, if it can hold 88/7 cubic metres water in it? 

1. 36.6

2. 33.3 

3. 37.7

4. 35.5 

Q.6 Solve the following. 

22 – [9 – {6 – (10 – 4 + 3 )}] ÷ 2 × 3 

1. 3

2. 20 

3. 12

4. 4 

Q.7 The rate at which a sum becomes four times of itself in 12 years at simple interest will be: 

1. 25%

2. 35% 

3. 20%

4. 30 % 

1. 2

2. 0 

3. 1

4. 3 

Q.9 A dealer marks his goods at 20% above the cost price and allows a discount of 15%. What is his gain percentage? 

1. 3%

2. 4% 

3. 2%

4. 1% 

Q.10 P, Q and R can complete a piece of work in 10 days, 15 days and 20 days, respectively. If they work together, in how many days can they finish the same work? 

Q.11 If the length of a chord, drawn at a distance of 21 cm from the centre of a circle, is 40 cm, then the radius (in cm) of the circle is: 

1. 29

2. 21 

3. 25

4. 20 

1. 0.27

2. 0.267 

3. 0.269

4. 0.268 

Q.13 The following pie chart represents the percentage distribution of girls in five girls’colleges A, B, C, D and E. The total number of girls in all the five colleges is 2,500.  

What is the average number of girls in the colleges C and E? 

1. 650

2. 575 

3. 500

4. 700 

Q.14 Find the value of the given expression. 

2 + cos 49° cos 41° - sin 49° sin 41° 

1. 2

2. 1 

3. − 1

4. 0 

Q.15 If 720 ÷ 8 + 915 ÷ 15 – m + 32 x 5 = 1104 ÷ 16 x 111 ÷ 37, then the value of m is: 

1. 311

2. 104 

3. 207

4. 518 

Q.16 DE is a chord and KDE is a secant of a circle. If KD = 9 cm, DE = 7 cm and KH is a tangent to the circle at point H, then find KH. 

1. 25 cm

2. 144 cm 

3. 16 cm

4. 12 cm 

Q.17 In January 2022, Kriti paid an EMI, which was 22% of her monthly salary. She spent the remaining salary on shopping of groceries and clothes in the ratio 7 : 5. She spent ₹18,200 on shopping of clothes. If, in February 2022, her salary increased by 16%, then what was her salary (in ₹) in February? 

1. 64,960

2. 68,520 

3. 66,350

4. 70,250 

Q.18 A boat can cover 120 km upstream and back in a total of 30 hours, and 25 km upstream and 40 km downstream in a total of 7 hours. How much distance will the boat cover in 16 hours in still water? 

1. 180 km

2. 225 km 

3. 175 km

4. 200 km 

Q.19 A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 17 km/h and 20 km/h, respectively. What is the distance between them after 8 minutes? 

1. 200 m

2. 150 m 

3. 100 m

4. 180 m 

Q.20 If a=101, b=102 and c=103, then a²+ b² +c²− ab − bc − ca = ________. 

1. 4

2. 6 

3. 3

4. 2 

Q.21 A policeman chases a thief. The speeds of the policeman and the thief are 8 km/h and6 km/h, respectively. If the policeman started 10 minutes late, at what distance he will catch the thief? 

1. 2 km

2. 6 km 

3. 4 km

4. 8 km 

Q.22 The number of students in different classes of a school is shown in the following bar graph. 

The maximum difference in the number of students in any two classes is what percentage of the number of students in Class 7 (correct to two decimal places)? 

1. 34.29%

2. 36.48% 

3. 35.29%

4. 33.48%

Q.23 During a school excursion each student of junior school was charged ₹325 and eachstudent of senior school was charged ₹400. If there were 80 students from juniorschool and the combined average amount charged per student was ₹352, then howmany students from senior school went for the excursion? 

1. 55

2. 40 

3. 45

4. 50 

Q.24 What is the value of the given expression? 

1. 24

2. 64 

3. 16

4. 20 

Ans :3 

Q.25  

1. 2/ √ 13  

2. 0 

3. 1/√ 13 

4. 2/3