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# Numerical Aptitude Questions | SSC MTS (Non Technical)

1. A sales representative will receive a 15 % commission on a sale of Rs. 2,800. If he has already received an advance of Rs. 150 on that commission, the remaining amount of commission is
a. Rs. 320
b. Rs. 420
c. Rs. 120
d. Rs. 270

2. A railway train 100 metres long is running at the speed of 30 km / hr. In what time does it pass a man standing near a line ?
a. 10 seconds
b. 13 seconds
c. 12 seconds
d. 15 seconds

3. Raju has to cover a distance of 240 km in 4 hours. If he covers one-third of the journey in 2/7 th time, what is his speed at the beginnning of the journey ?
a. 70 km/hr
b. 75 km/hr
c. 60 km/hr
d. 65 km/hr

4. X borrowed some money from a source at 8 % simple interest and lent it ti Y at 12 % simple interest on the same day and gained Rs. 4,800 after 3 years. The amount X borrowed, in Rs. is
a. 42,000
b. 60,000
c. 1,20,000
d. 40,000

5. Ram borrows a certain sum of money at 8 % per annum simple interest and Rahim borrows Rs. 2,000 at 5 % pe annum simple interest. If the interest at the end of 3 years is equal, then the amount borrowed by Ram is
a. Rs. 1,250
b. Rs. 1,500
c. Ra. 2,000
d. Rs. 1,000

6. A bookseller sells a book at a profit of 10 %. If he hed bought it at 4 % less and sold it for Rs. 6 more, he would have gained 18 3/4 %. The cost price of the book is
a. Rs. 160
b. Rs. 170
c. Rs. 150
d. Rs. 155

7. The length and breadth of a rectangle are 20 m and 15m respectively. If length is increased by 20 % and the breadth by 30 %, the percentage increase in its area is
a. 54 %
b. 56 %
c. 50 %
d. 52 %

8. The average height of 8 students is 152 cm. Two more students of heights 144 cm and 155 cm join the group. What is the new average hieight ?
a. 151.1 cm
b. 152.5 cm
c. 151cm
d. 150.5 cm

9. The batting average of a cricket player for 30 innings is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is
a. 18
b. 20
c. 12
d. 15

10. Aman sells two watches at Rs. 99 each. On one he get 10 % profit and on the other he loses 10 %. His net gain ro loss percent is
a. loss of 1 %
b. no profit no loss
c. profit of 10%
d. loss of 10%

11. If a person lost 8 % by selling an article for Rs. 1,035, he bought the article for
a. Rs. 1,135
b. Rs. 1,152
c. Rs. 1,105
d. Rs. 1,125

12. A cycle merchant allows 25% discount on the market price of the cycle and still makes a profit of 20%. If he gains Rs. 360 over the sale of one cycle, find the marked price of the cycle.
a. Rs. 2,920
b. Rs. 2,800
c. Rs. 2,880
d. Rs. 2,900

13. If 2x = 3y = 4z, find x:y:z.
a. 3:4:6
b. 6:4:3
c. 4:3:2
d. 2:3:4

14. The ratio of the ages of A,B and C is 5:8:9. If the sum of the ages of A and C is 56 years, the age of B will be
a. 12 years
b. 23 years
c. 21 years
d. 32 years

15. A box contain 280 coins of one rupee, 50 paise and 25 paise. The values of each kind of coin are in the ratio of 8:4:3. The number of one rupee coins will be
a. 52
b. 81
c. 60
d. 80

16. Rita purchased a car with a marked price of Rs. 2,10,000 at a discount of 5%. If the sales tax charged is 10%. find the amount she has to pay.
a. Rs. 2,19,500
b. Rs. 2,19,000
c. Rs. 2,19,450
d. Rs. 2,20,000

17. A shopkeeper sold an item for Rs. 1,800 at a discount of 10% and gained Rs. 200. Had he not given the discount, his gain would be
a. Rs. 300
b. Rs. 400
c. Rs. 180
d. Rs. 200

18. The sum of the squares of the digits of the largest prime number in two digits is
a. 148
b. 130
c. 97
d. 118

19. Find the number lying between 900 and 1000 which when divided by 38 and 57 leaves in each case a remainder 23.
a. 912
b. 926
c. 935
d. 962

20. Raju can do a piece of work in 20 days, while Ram can do ti in 30 days. If both of then work at it together, then the number of days in which they will be able to finish the work is
a. 12 days
b. 10 days
c. 50 days
d. 25 days

21. A is twice as good a workman as B and together they finish a piece of work in 20 days. In how many days will A alone finish the work ?
a. 30 days
b. 25 days
c. 40 days
d. 35 days

22. A spherical ball of lead of radius 14 cm is melted and recast into spheres of radius 2 cm. The number of the small spheres is
a. 300
b. 525
c. 343
d. 450