27. SSC CGL 2023

Exam Date 24/07/2023

Exam Time 2:30 PM - 3:30 PM

Section : Quantitative Aptitude

Q.1 In a 200-m linear race, if A gives B a start of 25 m, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 m, the race ends in a dead heat. How long does A take to run 200m? 

1. 77.5 seconds 

2. 78 seconds 

3. 77 seconds 

4. 78.5 seconds 

Q.2 If sine + cosece = $\sin \theta +\cos ec\theta =\sqrt{5}$, then the value of sin3 9 + cosec39 = . 

1. $2\sqrt{5}$ 

2. $3\sqrt{5}$ 

3. 0 

4. $\frac{1}{\sqrt{5}}$ 

Q.3 If $\cos ec\theta +\cot \theta =\frac{3}{2}$. then what is the value of cosec$\theta $? 

1. $\frac{13}{12}$ 

2. $\frac{3}{2}$ 

3. $\frac{11}{12}$ 

4. $\frac{9}{13}$ 

Q.4 If $\frac{a}{b}=\frac{7}{6}$, then find the value of the expression $\frac{6a+13b}{6a-13b}$.  

1. $-\frac{10}{3}$ 

2. $\frac{10}{3}$ 

3. $\frac{3}{10}$ 

4. $-\frac{3}{10}$ 

Q.5 Simplify the following expression. 

2 + (30 − 26)2 ÷ 83-2 × 0.5 

1. 3 

2. 2 

3. 0 

4. 1 

Q.6 The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the product of the two given numbers? 

1. 240 

2. 160 

3. 200 

4. 320 

Q.7 The interest on a certain deposit at 4.5% p.a. is ₹135 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.? 

1. ₹14 

2. ₹15 

3. ₹18 

4. ₹16 

Q.8 A person spends 25% of his income on goods of daily uses. Furthermore, he spends 18% of the rest on house rent and 16% of the rest on travel. After that, only ₹861 is left with him. What is his salary? 

1. ₹1852$\frac{1}{3}$ 

2. ₹1563$\frac{1}{3}$ 

3. ₹1426$\frac{1}{3}$ 

4. ₹1666$\frac{1}{3}$ 

Q.9 Ram can copy 60 pages in 15 hours. If Ram and Riya together can copy 180 pages in 30 hours, then in how many hours can Riya copy 20 pages? 

1. 12 hours 

2. 10 hours 

3. 20 hours 

4. 29 hours 

Q.10 4 women and 7 men earn a total of ₹11,480 in 7 days, while 10 women and 17 men earn a total of ₹ 36,360 in 9 days. How much will 11 women and 9 men together earn (in ₹) in 13 days? 

1. 42770 

2. 42640 

3. 42900 

4. 42510 

Q.11 Study the given bar graph carefully and answer the following question. 

What is the difference between the average demand and the average production of the three companies taken together? 

1. 1,850 

2. 1,272 

3. 1,530 

4. 1,456 

Q.12 If ∆ABC and ∆DEF are congruent triangles, then which of the following is FALSE? 

1. The ratio of AC to DF is 2 : 1. 

2. The perimeter of both the triangles is equal. 

3. AB = DE, and BC = EF. 

4. The ratio of the angles in both the triangles is the same. 

Q.13 A can complete a work in 9 days and B in 12 days. If they work together on it for 5 days, then the fraction of the work left is: 

1. $\frac{35}{36}$ 

2. $\frac{1}{35}$ 

3. $\frac{5}{36}$ 

4. $\frac{1}{36}$ 

Q.14 Simplify the following. 

$\frac{0.01\times 0.01\times 0.01+0.003\times 0.003\times 0.003}{0.05\times 0.05-0.015\times 0.05+0.015\times 0.015}$ 

1. $\frac{13}{25}\times {{13}^{-3}}$ 

2. $\frac{13}{25}\times {{10}^{3}}$ 

3. $\frac{13}{15}\times {{10}^{3}}$ 

4. $\frac{13}{15}\times {{10}^{-3}}$ 

Q.15 Two circles with radii 22 cm and 16 cm touch each other externally. The length of the direct common tangent is: 

1. $8\sqrt{22}$ CM 

2. $4\sqrt{11}$ CM 

3. $4\sqrt{22}$ CM 

4. $8\sqrt{11}$ CM 

Q.16 The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is: 

1. $4\sqrt{3}$ cm 

2. $2\sqrt{3}$ cm 

3. $5\sqrt{3}$ cm 

4. $3\sqrt{3}$ cm

Q.17 If the diameter of a sphere is 7 cm. then find the volume of the sphere. (use $\pi =\frac{22}{7}$) (Rounded up to two places of decimal). 

1. 179.67 cm3 

2. 128.87 cm3 

3. 201.34 cm3 

4. 184 cm3 

Q.18 A car covers a distance of 350 km in 5 hours and covers another 450 km at a speed of 90 km/h. What is the average speed (in km/h) of the car? 

1. 82 

2. 80 

3. 72 

4. 85 

Q.19 A shopping mart offers four different discounts schemes on the sale of an object as follows: 

(1) A discount of 30% 

(2) Two successive discounts of 15% 

(3) Buy 2, get 1 free 

(4) Buy 5, get 3 free 

Which discount scheme offers the maximum discount to a customer? 

1. (4) 

2. (3) 

3. (2) 

4. (1) 

Q.20 Study the given pie-chart and answer the question that follows. 

If the pie-chart shows the distribution of 36 marbles among 3 persons, then the number of marbles Madhuri has is: 

1. 16 

2. 8 

3. 18 

4. 12

Q.21 An airplane travels five times as fast as a bus. If the bus covers 60 km in 80 minutes, then what distance (in km) will the airplane cover in 25 minutes? 

1. 18.75 

2. 95.35 

3. 65.35 

4. 93.75

Q.22 A, B and C together can complete a work in 12 days. A as well as B alone can do the same work in 36 days. In how many days can C alone complete the same work? 

1. 25 

2. 12 

3. 48 

4. 36 

Q.23 If $\tan x=\frac{7}{5}$, then the value of $\frac{9\sin x-\frac{42}{5}\cos x}{15\sin x+21\cos x}$ is : 

1. 0.1 

2. 0.5 

3. 1 

4. 0 

Q.24 Simplify the given expression. 

15 – (–5) × {4 – (7 – 3)} ÷ [3 × {5 + (–3) × (–6)}] 

1. 125 

2. 15 

3. 88 

4. 21 

Q.25 A notebook was sold for Rs.28 with a profit of 12%. If it had been sold for Rs.26.25, then what would have been the profit percentage? 

1. 7% 

2. 5% 

3. 6% 

4. 4%