10. SSC CGL 2023

Exam Date 18/07/2023

Exam Time 9:00 AM - 10:00 AM

Quantitative Aptitude

Q.1 Raj’s income is ₹45,000 and his expenditure is ₹33,000. If his income is increased by 20% and expenditure by 12%, then what will be the percentage increase in saving? 

1. 42% 

2. 36% 

3. 56% 

4. 48% 

Q.2 The average weight of a team of 20 people was calculated to be 59.8 kg and it was later discovered that one weight was misread as 68 kg instead of 77 kg. The correct average weight is: 

1. 70.25 kg 

2. 60.50 kg 

3. 61.25 kg 

4. 60.25 kg 

Q.3 Which of the following numbers will completely divide 412 + 413 + 414 + 415? 

1. 11 

2. 7 

3. 17 

4. 3 

Q.4 If \[\cot A=\frac{12}{5}\], then the value of (sin A - cos A) × cosec A is ...................... 

1. \[\frac{14}{5}\] 

2. 1 

3. \[\frac{13}{5}\] 

4. \[\frac{17}{5}\] 

Q.5 Simplify the given expression. 

\[\frac{{{\left( 326+222 \right)}^{2}}-{{\left( 326-222 \right)}^{2}}}{\left( 326\times 222 \right)}\]  

1. 1 

2. 3 

3. 4 

4. 2 

Q.6 A conical tent of height 10m and base diameter 48m was erected by a company in a park. Find the curved surface area of the tent (in m2). 

1. 1152 \[\pi \] 

2. 1248 \[\pi \] 

3. 624 \[\pi \] 

4. 576 \[\pi \] 

Q.7 10 men can do a work in 25 days. After 12 days of work, 3 more men were engaged to finish the work. The number of days required to complete the remaining work is: 

1. 6 

2. 10 

3. 8 

4. 12 

Q.8 If \[\tan \frac{A}{2}=x\], then find x.  

1. \[\frac{\sqrt{1-\sin A}}{\sqrt{1+\cos A}}\] 

2. \[\frac{\sqrt{\cos A-1}}{\sqrt{1+\cos A}}\] 

3. \[\frac{\sqrt{1+\cos A}}{1-\cos A}\] 

4. \[\frac{\sqrt{1-cosA}}{\sqrt{1+\cos A}}\] 

Q.9 The third proportional to (x2 – y2 ) and (x – y) is: 

1. \[\left( x-y \right)\] 

2. \[\frac{x+y}{x-y}\] 

3. \[\left( x+y \right)\] 

4. \[\frac{x-y}{x+y}\] 

Q.10 Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle. 

1. \[4\sqrt{14}\] 

2. \[12\sqrt{7}\] 

3. \[22\sqrt{7}\] 

4. \[8\sqrt{14}\] 

Q.11 A shopkeeper offers the following two discount schemes. 

A. Two successive discounts of 10% and 15% 

B. Buy 5 get 2 free. 

Which scheme has the maximum discount percentage? 

1. A 

2. A and B both have the same discount percentage 

3. B does not give any discount 

4. B 

Q.12 Let A, B, C be the mid-points of sides PQ, QR PR, respectively, of ∆PQR. If the area of ∆PQR is 32cm2, then find the area of ∆ABC. 

1. 8 cm2 

2. 32 cm2 

3. 24 cm2 

4. 16 cm2 

Q.13 Using trigonometric formulas. and the value of \[\left( \frac{\sin \left( x-y \right)}{\sin \left( x+y \right)} \right)\left( \frac{\tan x+\tan y}{\tan x-\tan y} \right)\] 

1. 2 

2. -2 

3. 1 

4. 0 

Q.14 The number of sport bicycles sold by a shopkeeper in five years is shown in the following bar graph.  

What is the percentage of decrease in the sale of sport bicycles in the year 2021 over that in the previous year? 

1. 26.0% 

2. 27.0% 

3. 27.5% 

4. 26.5% 

Q.15 If the simple interest for 5 years is equal to 25% of the principal, then the interest will be equal to the principal after _______ years. 

1. 22 

2. 25 

3. 30 

4. 20 

Q.16 On purchase of articles worth ₹10,000, a shopkeeper offers a flat discount of ₹500 to his customers. Further, by shopping using a credit card, he gives an additional discount of 7%. If a customer purchases article worth Rs.10000 using a credit card, then how much is he/she required to pay? 

1. ₹9,000 

2. ₹8,815 

3. ₹9,300 

4. ₹8,835

Q.17 Two trains P and Q of lengths 320 m and 540 m, respectively, are running in the same direction on parallel tracks at 108 km/h and 144 km/h, respectively. How much time will the trains take to cross each other completely? 

1. 54 s 

2. 86 s 

3. 32 s 

4. 68 s 

Q.18 Which of the following numbers is divisible by 24? 

1. 64760 

2. 49512 

3. 52668 

4. 26968 

Q.19 Study the following table and answer the question below. 

 What is the ratio of the total number of male students to that of female students who opted for Biology in schools A and D together? 

1. 38:31 

2. 21:38 

3. 31:38 

4. 31:28 

Q.20 The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the positive difference between the cubes of these two given numbers. 

1. 4104 

2. 5626 

3. 5616 

4. 2160 

Q.21 30 men can complete a work in 12 days. After 6 days, 24 more men joined them. How many days will they now take to complete the remaining work? 

1. \[3\frac{1}{2}\] days 

2. \[3\frac{2}{3}\] days 

3. \[2\frac{1}{3}\] days 

4. \[3\frac{1}{2}\] days 

Q.22 A thief is spotted by a policeman from a distance of 400m. When the policeman starts chasing, the thief also starts running. If the speed of the thief is 32km/h and that of the policeman is 40 km/h, then how far would the thief have run before he is overtaken? 

1. 1000m 

2. 1500m 

3. 1200m 

4. 1600m 

Q.23 The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers. 

1. 5832 

2. 6048 

3. 6024 

4. 5616 

Q.24 Two circles of radii [0 cm and 5 cm touch each other externally at a point A. PQ is the direct common tangent of those two circles of centres O1 and O2 . respectively. The length of PQ is equal to: 

1. \[8\sqrt{2}\] cm 

2. \[6\sqrt{2}\] cm 

3.  \[10\sqrt{2}\] cm 

4. \[9\sqrt{2}\] cm 

Q.25 A can finish a work in 20 days and B can complete the same work in 15 days. B worked for 9 days and left the job. In how many days can A alone finish the remaining work? 

1. 8 days 

2. 10 days 

3. 7 days 

4. 9 days