19. SSC CGL 2023

Exam Date 20/07/2023

Exam Time 11:45 AM - 12:45 PM

Section : Quantitative Aptitude 

Q.1 If x + y + z = 4 and x² + y² + z² = 12, then find xy + yz + xz. 

1. 6 

2. 7 

3. 4 

4. 2 

Q.2 Which of the following is a FALSE statement? 

1. The angle formed by any side at the incentre is always 90° more than the angle at the opposite vertex. 

2. The circumcentre is the centre of a circle which circumscribes the triangle. 

3. Incentre is the point of concurrency of angle bisectors of a triangle. 

4. Centroid of the triangle divides each median in the ratio of 2 : 1 

Q.3 A, B and C can do a work in 10 days, 15 days, and 20 days, respectively. They finished that work together and got ₹2,600 as wages. Find C’s wage. 

1. ₹600 

2. ₹625 

3. ₹550 

4. ₹575 

Q.4 The average weight of 15 persons is increased by 1.2 kg when one of them whose weight is 51 kg is replaced by a new man. The weight of the new man is: 

1. 69 kg 

2. 59 kg 

3. 65 kg 

4. 70 kg 

1. sin2A 

2. cos2A 

3. cosA 

4. sinA 

Q.6 In a factory, a piece of work is completed by Raima in 15 days while Joe can finish it in 10 days. The factory manager has to complete the work as soon as possible and so he orders Joe and Raima to work together. How many days will they take to complete the work? 

1. 6 

2. 8 

3. 5 

4. 7 

Q.7 Study the given bar graph carefully and answer the following question. 

The demand of Company P is what percentage of the demand of Company Q? 

1. 70% 

2. 68% 

3. 72% 

4. 65% 

Q.8 A seller professes to sell his fruits at cost price but still gains $5\frac{5}{19}$%. How much does he give for 1 kg? 

1. 5 gm 

2. 950 gm 

3. 900 gm 

4. 905 gm

Q.9 A and B can complete a piece of work in 12 days and 18 days, respectively. If they work at it alternatively, A beginning, in how many days will the work be finished? 

Q.10 Study the given pie-chart carefully and answer the following question. 

What is the difference between the funds (in Rs.) acquired by the school from donation and those from government agencies? 

1. 2,80,000 

2. 2,40,000 

3. 2,30,000 

4. 2,50,000 

Q.12 A man can finish a work in 10 days and a woman can finish it in 12 days. In how many days will the work be finished by a man and a woman, working together every day? 

Q.14 Find the value of sin(50 + θ) – cos(40 − θ). 

Q.15 If a : b :: b : c, and b = 96, then which of the following can be a possible pair of values of a and c? 

1. a = 16; c = 586 

2. a = 24; c = 374 

3. a = 32; c = 288 

4. a = 48; c = 168 

Q.16 The following expression is equal to. cot85°+cos75° 

1. tan85°+sin75° 

2. tan85°-sin75° 

3. tan5°-sin15° 

4. tan5°+sin15° 

1. 4 

2. 3 

3. 1 

4. 2 

Q.18 A sum of money earns a simple interest at 7.25% per annum for the first eight years, at8.5% for the next six years, and at 6.5% for the final four years. If the total interest earned during these eighteen years was ₹35,100, what was the original sum invested (in ₹)? 

1. 25,500 

2. 25,800 

3. 26,000 

4. 26,400 

Q.19 A thief is chased by a policeman and distance between them is 3 km. The speed of policeman is 75 km/h and the speed of the thief is 60 km/h. The policeman will be able to catch the thief when the thief would have covered the distance of _____ km. 

1. 15 

2. 10 

3. 12 

4. 18 

Q.20 A shopkeeper offers three schemes as given below to sell a particular type of product. Which of the following schemes offer(s) the maximum discount percentage? 

A. Buy 6, get 4 free 

B. Buy 5, get 5 free 

C. Two successive discounts of 18% and 24% 

1. Only B and C 

2. Only A 

3. Only B 

4. Only A and C 

Q.22 Find the total surface area (in cm²) of a cuboid having dimensions 5 cm, 7 cm and 11 cm. 

1. 334 

2. 343 

3. 385 

4. 167 

Q.23 Two successive increments of 30% each is by what percentage more than two successive decrements of 30% each? (Correct to two decimal places) 

1. 35.29% 

2. 25.25% 

3. 28.15% 

4. 32.54% 

Q.24 Which of the following numbers is divisible by 9? 

1. 47695 

2. 78432 

3. 29568 

4. 83061 

Q.25 Suppose ΔPQR and ΔSTU are congruent triangles under ASA. If ∠PQR = 60°, ∠PRQ = 30° and ∠STU = 60°, find ∠TSU. 

1. 45° 

2. 60° 

3. 90° 

4. 75°