SSC Delhi Police constable (Executive) Paper 2017 Dec 7- Numerical Ability
1. The sum of a positive number and its cube is 10. What is the value of the number?
Options:
(a) 1
(b) 2
(c) 3
(d) 4
Correct Answer – 2
2. What is the value of 13 + 23 + …… 93?
Options:
(a) 2025
(b) 3075
(c) 1575
(d) 1975
Correct Answer – 2025
3. What is the Highest Common Factor of 14, 42 and 84?
Options:
(a) 2
(b) 7
(c) 14
(d) 1
Correct Answer – 14
4. If 80% of P = 2/5 of Q, then what is P : Q?
Options:
(a) 2 : 1
(b) 1 : 2
(c) 1 : 4
(d) 4 : 1
Correct Answer – 1 : 2
5. The annual income of Rahul and Mohit are in the ratio 17 : 12 and the ratio of their expenditure is 5 : 3. If each of them saves Rs 9000 yearly, then what will be the annual income (in Rs) of Mohit?
Options:
(a) 24000
(b) 21000
(c) 22400
(d) 34000
Correct Answer – 24000
6. 12 persons have Rs 49 on an average. If a person with Rs 55.5 join them, then what will be the new average (in Rs)?
Options:
(a) 49.5
(b) 50
(c) 49.75
(d) 50.25
Correct Answer – 49.5
7. What will be the simple interest (in Rs) on a sum of Rs 4000 for 6 years at the rate of 8% per annum?
Options:
(a) 2020
(b) 1920
(c) 2080
(d) 1860
Correct Answer – 1920
8. Vyom purchased 30 dozen pens at the rate Rs 48 per dozen. He sold 10 dozen at 20% profit and the remaining 20 dozen at 10% profit. What is his profit percentage?
Options:
(a) 13.33
(b) 15.17
(c) 25
(d) 20
Correct Answer – 13.33
9. The cost price of an article is 64% of the marked price. What will be the gain percentage after allowing a discount of 12% on the marked price?
Options:
(a) 25
(b) 37.5
(c) 33.33
(d) 40
Correct Answer – 37.5
10. The ratio of the outer and the inner perimeter of a circular path is 14 : 11. If path is 15 meters wide, then what is the radius (in metres) of the inner circle?
Options:
(a) 70
(b) 33
(c) 35
(d) 55
Correct Answer – 55
11. A boat covers 20 km upstream and 40 km downstream distance in 4 hours, while it covers 70 km upstream and 60 km downstream distance in 10 hours. What is the speed (in km/hr) of the current?
Options:
(a) 10
(b) 15
(c) 5
(d) 12.5
Correct Answer – 5
12. P started a business by investing Rs 60000. After 4 months Q joined the business by investing Rs 80000. After 4 more months, R joined the business by investing Rs 100000. What will be the ratio of profits of P, Q and R at end of 2 years?
Options:
(a) 9 : 11 : 10
(b) 9 : 12 : 10
(c) 12 : 14 : 15
(d) 9 : 10 : 10
Correct Answer – 9 : 10 : 10
13. S and V can do a work in 12 days. M and S can do the same work in 16 days. M and V can do the same work in 24 days. In how many days S, V and M together can complete the same work?
Options:
(a) 32/3
(b) 10
(c) 16/3
(d) 11
Correct Answer – 32/3
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