6. SSC CGL 2023 

Exam Date 17/07/2023 

Exam Time 9:00 AM - 10:00 AM 

Quantitative Aptitude 

Q.1 If \[\sin t+\cos t=\frac{4}{5}\], then find sint. cost. 

1. \[\frac{9}{25}\] 

2. \[\frac{9}{50}\] 

3. \[\frac{-9}{25}\] 

4. \[\frac{-9}{50}\] 

Q.2 Simplify the given expression. 

y + 2x – [ (y – (y – x + y) – (x + y) + y] – 2y. 

1. Y 

2. -y 

3. -2x 

4. 2x 

Q.3 A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less. Find his actual profit percentage. 

1. 42.5% 

2. 43.75% 

3. 40% 

4. 50%

Q.4 There are 3 members in a family. The average age of the father and mother is 40 years. The average age of the father, mother and daughter is 30 years. Find the age (in years) of the daughter. 

1. 8 

2. 6 

3. 12 

4. 10 

Q.5 Find the value of sin2 25 + sin2 65. 

1. 1 

2. 0 

3. \[\frac{1}{2}\] 

4. -1 

Q.6 The volume of a cone with height equal to radius, and slant height 5 cm is : 

1. \[\frac{125\pi }{6\sqrt{2}}\] cm3 

2. \[\frac{125\pi }{6\sqrt{3}}\] cm3 

3. \[\frac{125\pi }{12\sqrt{2}}\] cm3 

4. \[\frac{125\pi }{12\sqrt{3}}\] cm3 

Q.7 Industrial growth of different countries (in crores of ₹): 

How many countries’ industrial growth is more than the average industrial growth? 

1. 3 

2. 4 

3. 1 

4. 2 

Q.8 Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8. 

1. 4 

2. 6 

3. 10 

4. 8 

Q.9 A, B and C, working alone, can complete a job in 16, 24 and 36 days, respectively. In how many days can they complete the job if they work together? 

1. \[7\frac{11}{19}\] 

2. \[5\frac{17}{19}\] 

3. \[4\frac{13}{19}\] 

4. \[6\frac{7}{19}\] 

Q.10 A shopkeeper offers the following discount schemes for buyers on an article: 

i. Two successive discounts of 15% each 

ii. A discount of 25% followed by a discount of 5% 

iii. Two successive discounts of 20% and 10% 

iv. A discount of 30% 

Under which scheme will the selling price be maximum? 

1. Scheme i 

2. Scheme iv 

3. Scheme iii 

4. Scheme ii 

Q.11 15 men and 25 women can complete a piece of work in 9.6 days. If 16 women can complete the same work in 27 days, find the number of days in which 16 men can complete the same work. 

1. 20.25 

2. 22.50 

3. 21.60 

4. 19.20 

Q.12 On a circular path of 693 m, Sujata and Anjali start walking from the same point but in the opposite directions at the speed of 2.85 km/h and 1.5 m/sec, respectively. When they will meet for the first time? 

1. After 6.05 minutes 

2. After 6.75 minutes 

3. After 5.04 minutes 

4. After 4.56 minutes 

Q.13 Select the INCORRECT formula from the following options. 

1. sin2 θ + cos2 θ = 1 

2. cosec2 θ – cot2 θ = 1 

3. sec2 θ – tan2 θ = 1 

4. sin2 θ + cos2 θ = 1 

Q.14 If \[\left( {{x}^{2}}+\frac{1}{{{x}^{2}}}=7 \right)\], and 0 < x <1, find the value of \[{{x}^{2}}-\frac{1}{{{x}^{2}}}\]. 

1. \[-3\sqrt{5}\] 

2. \[-4\sqrt{3}\] 

3. \[3\sqrt{5}\] 

4. \[4\sqrt{3}\] 

Q.15 A person deposited ₹500 for 3 years, ₹650 for 5 years, and ₹1,250 for 7 years. He received a total simple interest of ₹1,620. The rate of interest per annum is: 

1. 13% 

2. 10.8% 

3. 11% 

4. 12%

Q.16 A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at the speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes? 

1. 250 m 

2. 300 m 

3. 200 m 

4. 225 m 

Q.17 If x% of 280 = 15% of 240 + 20% of 310, then the value of x is: 

1. 35 

2. 38 

3. 40 

4. 30 

Q.18 ΔABC ~ ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is: 

1. 20 cm 

2. 10 cm 

3. 24 cm 

4. 12.6 cm

Q.19 Simplify the following expression. 

(3x+5)2 + (3x-5)2 

1. 9x2 + 50 

2. 500x 

3. 2(9x2 + 25) 

4. 450x 

Q.20 If the area of a circle is 616 cm2 and a chord XY = 10 cm, then find the perpendicular distance from the center of the circle to the chord XY. 

1. √181 cm 

2. √171 cm 

3. √161 cm 

4. √117 cm 

Q.21 If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers. 

1. \[\sqrt{6}\] 

2. \[2\sqrt{6}\] 

3. \[\sqrt{14}\] 

4. 2 

Q.22 Rakshit, Ajay, and Satish are sanitation workers in a Municipal Corporation. Rakshitalone takes 20 hours to clean a drain while Ajay takes 12 hours when working alone to do the same. All three together take only 5 hours to clean the drain. In how many hours, can Satish complete the work alone? 

1. 10 

2. 18 

3. 15 

4. 12 

Q.23 The area of two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases. 

1. 2: 3 

2. 7 : 5 

3. 3 : 5 

4. 7 : 3 

Q.24 Select the correct statement with respect to the below bar graph. 

1. Rice production by A in 2016 is less than the rice production by C in 2020. 

2. B produced more rice than A and C in 2018. 

3. The highest production of rice was in the year 2017. 

4. Rice production by B in 2017 is equal to the rice production by A in 2020. 

Q.25 Simplify 

2.5 × [144 ÷ 198 × {121 × 81 ÷ (11 × 9)}] 

1. 185 

2. 175 

3. 190 

4. 180