SSC COP SI 5 OCT 2023 Shift 3
Exam Date 05/10/2023 Exam Time 4:00 PM - 6:00 PM
Quantitative Aptitude
Sub Inspector in Delhi Police and Central Armed Police Forces Examination 2023 Paper I
Exam Date 05/10/2023
Exam Time 4:00 PM - 6:00 PM
Q.21 The number of balls, each one is 4 cm in the diameter that can be made from a solid metallic sphere of diameter 32 cm is:
1. 256
2. 64
3. 512
4. 1024
Q.22 Simplify the given expression.
b + 2a - [(3b + a) - (2a + b) + 2a] - a
1. − a
2. b
3. - b
4. a
Q.23 In a store, Arun has two options to buy a mobile phone, either he can pay the full amount of Rs.2,500 or he may buy at an instalment scheme, i.e. Rs.520 in down payment and four equal instalments, rate of interest being charged at 25% p.a. simple interest. Arun buys a mobile phone on the instalment scheme. What is the monthly instalment for Arun?
1. Rs.510
2. Rs.530
3. Rs.550
4. Rs.520
Q.24 In a 1200 m race, Rakesh reaches the final point in 36 seconds and Rajesh reaches in 40 sec. By how much distance does Rakesh beat Rajesh?
1. 130 m
2. 120 m
3. 140 m
4. 150 m
Q.25 Rakesh runs a coaching institute having 50 faculty members. The average monthly salary of 35 faculty members is ₹37,500. What will be the average monthly salary (in ₹) of the other 15 faculty members, if the average monthly salary of all the 50 faculty members is found to be ₹30,000?
1. 13,000
2. 13,500
3. 12,500
4. 12,000
1. -√2
2. -1
3. 1
4. √2
Q.27 Ankita sold three toys. The first toy was sold for ₹1,500 at a profit of 25%; the second toy was sold for ₹2,800 at a loss of 50% and the third toy was sold for ₹3,500 at a profit of 25%. Find her total profit or loss percentage.
1. 15.25% loss
2. 15.25% profit
3. 18.75% profit
4. 18.75% loss
Q.28 Study the given pie-chart and answer the question that follows.
The pie-chart shows the expenditure of a family on different items and their savings throughout the year 2021.
If the total income for the year was ₹1,00,000, then the difference in the expenses (in ₹) between housing and transport was:
1. 9,500
2. 10,500
3. 9,000
4. 10,000
Q.29 Simplify the given expression.
(x - 2y)(y - 3x) + (x + y)(x - y) + (x - 3y)(2x + y)
1. 2y(x - 3y)
2. 2y(x + 3y)
3. 2x(x - 3y)
4. 2x(x + 3y)
Q.30 The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is:
1. 10800
2. 10250
3. 10700
4. 10600
Q.31 The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480,then find their HCF and LCM, respectively.
1. 46 and 230
2. 48 and 240
3. 64 and 320
4. 56 and 280
Q.32 Find the HCF of 125, 250 and 750.
1. 50
2. 25
3. 125
4. 75
Q.33 The LCM of 8, 12 and 18 is:
1. 24
2. 80
3. 72
4. 36
Q.34 Study the given table and answer the question that follows.
The table shows the number of employees in three organisations during three years.
What is the respective ratio between total number of employees in organisations P and R together in 2019 and total number of employees in organisations Q and R together in 2020?
1. 23 : 41
2. 33 : 41
3. 41 : 31
4. 33 : 23
Q.35 The ratio of monthly income and expenditure of a man is 7∶ 3. If his expenditure is ₹5,400, find his monthly income.
1. ₹12,600
2. ₹13,300
3. ₹11,500
4. ₹10,400
Q.36 If 30% of Ravi’s income is equal to 40% of Suresh’s income, then 50% of Ravi’s income is equal to what percentage of Suresh’s income?
1. 3
2. 4
3. 5
4. 2
Q.38 The chord of a circle is equal to its radius. Find the difference between the angle subtended by this chord at the minor arc and major arc of the circle.
1. 30°
2. 120°
3. 60°
4. 150°
Q.39 The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the centres (in cm) is:
1. 16 cm
2. 14 cm
3. 18 cm
4. 12 cm
Q.40 Study the given table and answer the question that follows. The table shows the number of students in various courses in various cities A, B, C, D and E in India during the academic year 2022-2023.
During the academic year 2022-2023, which city had the largest number of students?
1. C
2. D
3. A
4. B