28. SSC CGL 2023 

Exam Date 24/07/2023 

Exam Time 5:15 PM - 6:15 PM 

Section : Quantitative Aptitude

Q.1 In an examination a candidate had to sit for three papers A, B, and C. The candidate secured 75% marks in Paper A, 80% marks in Paper B, and 60% marks in Paper C. If the weightage assigned to Papers A, B, and C were 40%, 50% and 10%, respectively, then find the weighted percentage of marks obtained by the candidate, when all the three papers were taken together. 

1. 77% 

2. 76% 

3. 74% 

4. 72% 

Q.2 Simplify: 

220 + 80 ÷ [63 − {7 × 8 + (13 − 2 × 4)}] 

1. 240 

2. 260 

3. 250 

4. 270 

Q.3 Find the value of k if 13 − [10 − {16 + 8 ÷ (k − 2)} + 2] = 20. 

1. $\frac{31}{3}$ 

2. $\frac{23}{13}$ 

3. $\frac{40}{13}$ 

4. $\frac{14}{3}$ 

Q.4 Simplify $\frac{1}{2+2p}+\frac{1}{2+2q}=\frac{1}{2+2r}$, where $p=\frac{x}{y+z}$, if $q=\frac{y}{z+x}$and $r=\frac{z}{x+y}$. 

1. $\frac{1}{2}$ 

2. 1 

3. 2 

4. X + Y + Z 

Q.5 A pole is 9030 cm long. It is colored saffron, white and green in the ratio of 6:7:8. Find the length of the green part of the pole. 

1. 3440cm 

2. 2580cm 

3. 3480cm 

4. 3010cm 

Q.6 If $\left( 4y-\frac{4}{y} \right)=13$, find the value of $\left( {{y}^{2}}+\frac{1}{{{y}^{2}}} \right)$. 

1. $12\frac{9}{16}$ 

2. $12\frac{11}{16}$ 

3. $10\frac{9}{16}$ 

4. $8\frac{9}{16}$ 

Q.7 Rima spends 35% of her monthly income on food articles and 15% of the remaining on clothes. She saves 40% of the remaining income. If her monthly salary is ₹27,500, how much does she save (in ₹) every month? 

1. 6077.5 

2. 6370.5 

3. 6277.5 

4. 6170.5 

Q.8 A dishonest shopkeeper sells mangoes at ₹30/kg bought at ₹20/kg and he is giving 800 g instead of 1 kg. The shopkeeper’s actual profit percentage is: 

1. 37.5% 

2. 87.5% 

3. 50% 

4. 75%

Q.9 If $a\cot \theta =b$, then what will be the value of $\frac{b\cos \theta -a\sin \theta }{b\cos \theta +a\sin \theta }$ ? 

1. $\frac{{{b}^{2}}-{{a}^{2}}}{{{b}^{2}}+{{a}^{2}}}$ 

2. ${{b}^{2}}+{{a}^{2}}$ 

3. $\frac{{{b}^{2}}+{{a}^{2}}}{{{b}^{2}}-{{a}^{2}}}$ 

4. 0 

Q.10 Study the given pie-chart carefully and answer the following question. What is the total amount (in Rs.) used by the school for the payment? 

1. 1,10,000 

2. 2,10,000 

3. 1,20,000 

4. 3,10,000 

Q.11 The given chart shows the marks scored by a class X student in different subjects. 

If the total marks are 1800, then find the marks in social science. 

1. 72 

2. 360 

3. 350 

4. 306 

Q.12 Simplify the given expression. 

$\frac{1+{{\sin }^{4}}\theta +{{\cos }^{4}}\theta }{{{\cos }^{2}}\theta +{{\sin }^{4}}\theta }$ 

1. 1 

2. 4 

3. 3 

4. 2 

Q.13 Two equal circles of radius 18 cm intersect each other, such that each passes through the centre of the other. The length of the common chord is _________. 

1. $9\sqrt{27}$ cm 

2. $\sqrt{3}$ cm 

3. $6\sqrt{27}$ cm 

4. $3\sqrt{3}$ cm 

Q.14 A ball is to be made with inner radius of 2 units and outside radius of 3 units. How much material is required to make the ball? 

1. $\frac{19}{3}\pi $ 

2. $19\pi $ 

3. $\frac{76}{3}\pi $ 

4. $\pi $ 

Q.15 The time required for a sum of money to amount to three times itself at 8% simple interest p.a. will be: 

1. 20 years 

2. 35 years 

3. 30 years 

4. 25 years 

Q.16 R, S and T can finish a work in 20, 15 and 10 days, respectively. R works on all days and S and T work on alternate days with T starting the work on the first day. In how many days is the work finished? 

1. 52/7 

2. 61/7 

3. 57/8 

4. 50/7 

Q.17 In the given ΔABC, DE ǁ BC. If BC = 8 cm, DE = 6 cm and area of ΔADE = 90 cm2, then what is the area of ΔABC (in cm2)? 

1. 160 

2. 190 

3. 140 

4. 120 

Q.18 A boat covers a distance of 80 km downstream in 8 h while it takes 10 h to cover the same distance upstream. What is the speed (in km/h) of the boat in still water? 

1. 16 

2. 9 

3. 18 

4. 12 

Q.19 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it? 

1. 15 

2. 44 

3. 16 

4. 40 

Q.20 If $x+\frac{1}{x}=9$, then find ${{x}^{4}}+\frac{1}{{{x}^{4}}}$.  

1. 6239 

2. 5431 

3. 6561 

4. 6156 

Q.21 A person marks his goods x% above the cost price and allows a discount of 12% on the marked price. If his profit is 10%, then the difference between x% and the profit percentage is: 

1. 15% 

2. 10% 

3. 18% 

4. 13% 

Q.22 In the given figure, chords KY and PQ intersect each other at point L. Find the length of XY (in cm). 

1. 23 

2. 20 

3. 22 

4. 21 

Q.23 The side of an equilateral triangle is 12 cm. What is the area (in cm2, rounded off to 2 decimal places) of the triangle? Given : $\sqrt{3}=1.732$ 

1. 62.35 

2. 63.89 

3. 68.07 

4. 65.23 

Q.24 6 labourers can finish a work in 16 days. 10 labourers are available, but the work is to be finished by 8 days. How many more labourers are to be called to finish the work in time? 

1. 2 

2. 0 

3. 1 

4. 4 

Q.25 Dharmendra can row 80 km upstream and 110 km downstream in 13 hours. Also, he can row 60 km upstream and 88 km downstream in 10 hours. What is the speed (in km/h) of the current? 

1. 10 

2. 12 

3. 6 

4. 16