37. SSC CGL 2023

Exam Date 27/07/2023

Exam Time 9:00 AM - 10:00 AM

Section : Quantitative Aptitude 

Q.1 Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the race? 

1. 215 

2. 210 

3. 220 

4. 225 

Q.2 Two motorists start together to travel to a certain destination, one at the speed of 4 km/h and the other at the speed of 6 km/h. Find the distance travelled by them (in km) if the motorist travelling at 4 km/h arrives half an hour after the other motorist. 

1. 6 

2. 4 

3. 5 

4. 8 

Q.3 Which of the following is the smallest 5-digits number that is exactly divisible by 526? 

1. 11046 

2. 10426 

3. 10516 

4. 10520 

Q.4 Find the value. 

80.40 ÷20 - (-4.02) + 2.06 = _______. 

1. 8.2 

2. 9.8 

3. 10.1 

4. 10.2 

Q.5 A shopkeeper gives a 12% additional discount on the discounted price, after giving an initial discount of 25% on the labelled price of a radio. If the final selling price of the radio is ₹792, then what is its labelled price (in ₹)? 

1. 2330 

2. 1320 

3.4 1980 

4. 1200 

Q.6 If the price of petrol is increased by 81%, by what percentage should the consumption of petrol be decreased by the consumer if the expenditure on petrol remains unchanged? (Correct to two decimal places) 

1. 40.45% 

2. 41.25% 

3. 43.12% 

4. 44.75% 

Q.7 The following data shows the number of boys and girls in Class VII, Class VIII, Class IX and Class X of a school. Study the data and answer the question. 

Which class has the maximum number of students? 

1. Class IX 

2. Class VIII 

3. Class X 

4. Class VII 

Q.8 In the following figure, the length of arc AB is equal to five times of the radius r of the circle. Find the area of sector AOB? 

1. 2r2 

2. 3r2 

3. 2.5r2 

4. ½r2 

Q.9 If x + y = 25 and xy = 20, then find the value of x3 + y3 . 

1. 13152 

2. 14125 

3. 13125 

4. 14152 

Q.10 What is the value of given expression if $3\cot A=\frac{7}{3}$? 

1. $\frac{1}{3}$ 

2. $\frac{2}{3}$ 

3. 13 

4. 1 

Q.11 On selling a painting at Rs.1,498, the gain is 25% more than the loss incurred on selling it at Rs.1,300. In order to gain 25%, the selling price will be: 

1. Rs.1,335 

2. Rs.1,735 

3. Rs.1,755 

4. Rs.1,388

Q.12 If 2x + 3y = 16 and xy = 9, then find 8x3 + 27y3. 

1. 1504 

2. 1980 

3. 2980 

4. 2189 

Q.13 In the figure. AB=AD=9 cm and AC=AE=13 cm and BC=15 cm. Find ED? 

1. 16 cm 

2. 18 cm 

3. 14 cm 

4. 15 cm

Q.14 In the following figure, 0 is the centre of the circle. Its two chords AB and CD intersect each other at point P inside the circle. If AB = 18 cm, PB = 6 cm and CP = 4 cm, then find the measure of PD. 

1. 14 cm 

2. 16 cm 

3. 18 cm 

4. 20 cm 

Q.15 If A + B = 90° and sin A = $\frac{2}{5}$, then the value of tanB is ....... 

1. $\frac{4}{3}$ 

2. $\frac{5}{4}$ 

3. $\frac{5}{3}$ 

4. $\frac{3}{4}$ 

Q.16 Which of the following is the smallest ratio? 

$\frac{5}{6},\frac{7}{9},\frac{11}{12},\frac{13}{18}$ 

1. $\frac{5}{6}$ 

2. $\frac{7}{9}$ 

3. $\frac{13}{18}$ 

4. $\frac{11}{12}$ 

Q.17 Rini has mixed two colours ‘C1’ and ‘C2’ in the ratio 2 : 3. If the rate of the colour ‘C1’ is₹500 per unit and she is selling the mixture of the two colours at ₹650 per unit at breakeven price, then what is the rate (in ₹) per unit of the second colour, that is, ‘C2’? 

1. 750 

2. 760 

3. 765 

4. 725 

Q.18 Study the graph carefully. 

The imports in 1974 were approximately how many times that of the year 1971? 

1. 3 

2. 3.75 

3. 3.5 

4. 2.5 

Q.19 A hemispherical bowl has a radius of 7 cm. It is to be painted from inside as well as outside. Find the cost of painting it at the rate of Rs.40 per 20 cm2 ? (Take thickness of the bowl as negligible). 

1. 1,125 

2. 1,432 

3. 1,550 

4. 1,232 

Q.20 A man, a woman and a boy can complete a job in 3, 5 and 15 days, respectively. How many boys must assist 1 man and 1 woman to complete the job in $\frac{1}{5}$ of a day? 

1. 35 

2. 67 

3. 47 

4. 56 

Q.21 If A, B and C can do a work in 6 days, 9 days and 11 days, respectively, then, working together, how many days will they take to do the work? 

1. $3\frac{52}{73}$ 

2. $4\frac{52}{73}$ 

3. $1\frac{52}{73}$ 

4. $2\frac{52}{73}$ 

Q.22 Ashok and Anil undertake to do a piece of work for ₹4,500. Ashok alone could do the work in the 8 days and Anil in 12 days. With the assistance of Amar, they finished the work in 4 days. What is the share of Amar? 

1. ₹2,250 

2. ₹1,500 

3. ₹750 

4. ₹2,500

Q.23 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 sum of the cubes of the two given numbers? 

1. 9684 

2. 9728 

3. 8000 

4. 9600 

Q.24 Given 9 ${{\theta }_{1}}+{{\theta }_{2}}=\frac{\pi }{2}$ and $\sin {{\theta }_{1}}=\frac{1}{2}$ , find the value of ${{\theta }_{2}}$. 

1. $\frac{\pi }{2}$ 

2. $\frac{\pi }{4}$ 

3. $\pi $ 

4. $\frac{\pi }{2}$

Q.25 Find the simple interest on ₹27,000 at $14\frac{2}{3}$% per annum for 8 months. 

1. ₹2,630 

2. ₹2,600 

3. ₹2,610 

4. ₹2,640