22. SSC CGL 2023

Exam Date 21/07/2023

Exam Time 9:00 AM - 10:00 AM

Section : Quantitative Aptitude 

Q.1 A worker completes $\frac{3}{5}$ of a work in 12 days. In how many days will he complete $\frac{3}{4}$ of the work? 

1. 18 

2. 15 

3. 16 

4. 20 

Q.2 In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. If CD = 8 cm, PD =10 cm and PB = 8 cm, find AB. 

1. 8 cm 

2. 14.5 cm 

3. 22.5 cm 

4. 12 cm 

Q.3 The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (8 m× 8 m ×16 m), the total surface area of the cube is: 

1. 288 m2 

2. 324 m2 

3. 384 m2 

4. 316 m2 

Q.4 A works 3.5 times as fast as B, and A takes 45 days less than B to complete a job wheneach works alone. Calculate the number of days taken to complete the same job if A and B work together. 

1. 17.5 

2. 10.5 

3. 14 

4. 21 

Q.5 If secA + tanA = 3, then cosA is equal to: 

1. $\frac{3}{5}$ 

2. $\frac{5}{3}$ 

3. $\frac{3}{4}$ 

4. $\frac{4}{3}$ 

Q.6 If A and B together can do a piece of work in 20 days, and A alone can do the same work in 30 days, then in how many days can B alone complete the same work? 

1. 40 

2. 45 

3. 50 

4. 60 

Q.7 Simplify the given expression. 

(a – 2b) (b – 3a) + (a + b) (a – 3b) – (b – 3a) (4a – 5b) 

1. 8a2 + 10ab 

2. 10a2 – 14ab 

3. 8a2 – 10ab 

4. 10a2 – 4ab 

Q.8 Anand covers a certain distance in the first lag of 5 hours at the speed of 50 km/h. In the second lag, he increased the speed by 20% due to which he covered 20% extra distance than that of the first lag. He covered the third lag at the average speed of the first two lags and covered 10% extra distance than that of the second lag distance. How much total time (in hours) did he take to complete all three lags? 

1. 18 

2. 16 

3. 14 

4. 15 

Q.9 Which of the following options is NOT a correct trigonometric identity? 

1. cos2θ – sin2θ ≡ 1 

2. 1 + cot2θ ≡ cosec2θ 

3. 1 + tan2θ ≡ sec2θ 

4. 1 – sin2θ ≡ cos2θ 

Q.10 A sold an article to B at 25% profit and B further sold it to C by earning a certain profit. If the cost price of C is 30% more than the cost price of A, then find the profit percentage earned by B. 

1. 5% 

2. 4% 

3. $4\frac{1}{2}$% 

4. $5\frac{1}{2}$

Q.11 What is the difference between the total production of Cotton and Khadi?  

Note: Ignore negative sign. if any 

1. 8 

2. 7 

3. 10 

4. 11 

Q.12 At simple interest a sum of ₹6,400 becomes ₹8,320 in 3 years. What will ₹7,200 become in 5 years at the same rate? 

1. ₹10,600 

2. ₹10,800 

3. ₹10,400 

4. ₹10,200 

Q.13 Find the value of the given expression: 

10 ÷ 5 × 1 + 3 - [8 - {5 - (7 - 7 - 9)}] 

1. 10 

2. 11 

3. 9 

4. 8 

Q.14 The weights (in kg) of five girls of a class are 49, 42, 61, 55 and 58. What is the average weight (in kg) of these five girls? 

1. 54 

2. 53 

3. 51 

4. 52 

Q.15 In the given figure, a circle is inscribed in APQR, such that it touches the sides PQ, QR and RP at points D, E, F, respectively. If the lengths of the sides PQ = 18 cm, QR = 13 cm and RP = 15 cm, then find the length of PD. 

1. 10 cm 

2. 12 cm 

3. 15 cm 

4. 8 cm 

Q.16 If(a + b + c) = 12, and (ab + be + ca) = 47, find the value of(a3 + b3 + c3 – 3abc). 

1. 36 

2. 48 

3. 42 

4. 24 

Q.17 In the given figure, ∆QPS $\cong $ ∆SRANSQ. Find the measure of ∆PSR. 

1. 82° 

2. 74° 

3. 64° 

4. 52° 

Q.18 If successive discounts of 5%, 10% and p% are equivalent to a single discount of 31.6%, then the value of p is: 

1. 20 

2. 25 

3. 30 

4. 15 

Q.19 If x + y = 7 and xy = 19, then calculate the value of x2 + y2 . 

1. 12 

2. 17 

3. 19 

4. 11 

Q.20 What is the value of sec2 θ – cot2(90° – 9')? 

1. –1 

2. 1 

3. 0 

4. 2 

Q.21 Solve the following expression. 

50 − [20 + (30 − (25 − 5)] 

1. 40 

2. 10 

3. 20 

4. 30 

Q.22 The following figure shows the percentage growth in units of fans and coolers sold in some years. What is the difference between the averages of the growth rate in coolers and fans? 

1. 30 

2. 42 

3. 32 

4. 34 

Q.23 Anuj and Anup have to travel from a place A to a place B in their respective cars. Anuj is driving at 70 km/h, and takes 3 halts of 10 minutes each, while Anup is driving at 80 km/h, and takes 4 halts of 15 minutes each. The time taken by Anup to reach Place B, if Anuj takes 8.5 hours, is: 

1. 6 hours 

2. 7 hours 

3. 4 hours 

4. 8 hours 

Q.24 Raghav covers a distance of 3300 m in 45 minutes. What is his speed (in km/h)? 

1. 5 

2. 2.25 

3. 4.4 

4. 3.75 

Q.25 The monthly income of a person was ₹12,000 and his monthly expenditure was ₹8,000. Next year, his income increased by 10% and his expenditure by 8%. Find the percentage increase in his savings. 

1. 14% 

2. 15% 

3. 12% 

4. 10%