Test paper-1 Questions on Arithmetics

1-In an examination, 78% of the total students who appeared were successful. If the total number of failures was 176 and 34% got first class, then how many students got first class?

(a) 272
(b) 112
(c) 210
(d) 254

2-Pratap starts from school and walks 7 km towards East. He takes a left and walks 4 km, then takes a right and walks 2 km, again takes a right and walks 3 km. Which direction is he facing now?

(a) South
(b) North
(c) East
(d) West

3. Vijay travelled 12 km Southward, then turned right and travelled 10 km, then turned right and travelled 12 km. How far was Vijay from the starting point?

(a) 22 km
(b) 44 km
(c) 12 km
(d) 10 km

  4-If sin x + sin ² x = 1, then the value of cos ² x + cos ⁴ x is

(a) 2
(b) 2.5
(c) 1
(d) 1.5

  5-On increasing the diameter of a circle by 75%, the percentage increase in the perimeter is
(a) 75%
(b) 80%
(c) 65%
(d) 70%
6-If x + y = 4 and 1/x + 1/y = 4, then the value of x ³ + y ³ is
(a) 52
(b) 64
(c) 4
(d) 25
7-(a 2 + 2a) 2 + 12(a 2 + 2a) – 45 can be expressed as
(a) (a – 1) (a –3) (a2 + 2a + 15)
(b) (a – 1) (a + 3) (a2 + 2a + 15)
(c) (a + 1) (a + 3) (a2 + 2a + 15)
(d) (a + 1) (a – 3) (a2 + 2a + 15)
8-The ratio of the first and second class fares between two stations is 4 : 1 and that of the number of passengers travelling by the first and second class is 1 : 40. If Rs. 11000 is collected as total fare, then the amount collected from the first class passengers is
(a) Rs. 1375
(b) Rs. 3150
(c) Rs. 800
(d) Rs. 1000
9-A man purchased a car for Rs. 135000 and spent Rs. 25000 on repairs. At what price was the car sold if he suffered 10% loss on it?
(a) Rs. 176000
(b) Rs. 144000
(c) Rs. 121500
(d) Rs. 150000

10- In the certain examination, 77% candidates passed in English and 34% failed in Mathematics. If 13% failed in both the subjects and 784 candidates passed in both the subjects, then the total number of candidates was
(a) 1600
(b) 1800
(c) 1200
(d) 1400
11. A train 120 m long runs through a station at the speed of 54 km/h. The time taken by the train to pass a man standing on the platform
(a) 7s
(b) 8s
(c) 5s
(d) 6s
12-A, B and C start together from the same point to travel around a circular island 30 km in circumference. A and B are travelling in the same direction and C is in the opposite direction. If A travels 5 km, B travels 7 km and C travels 8 km in an hour, then they all come together again after
(a) 25 h
(b) 30 h
(c) 15 h
(d) 20 h
13. At what rate will a sum of Rs. 1000 amount to Rs. 1102.50 in 2 yr at compound interest?
(a) 6%
(b) 6.5%
(c) 5%
(d) 5.5%
14. Radii of two circles are 6.3 cm and 3.6 cm. If they touch each other internally, then the distance between their centres is
(a) 9.1 cm
(b) 2.7 cm
(c) 3.7 cm
(d) 10.1 cm
15. If a job is to be completed in 10 days, it requires 270 persons. If 180 persons take up the same job, they will finish it in
(a) 27 days
(b) 12 days
(c) 15 days
(d) 18 days
16. A certain number of men can finish a piece of work in 100 days. However, if there were 10 men less, then it would take 10 days more for the work to be finished How many men were there originally?
(a) 110
(b) 75
(c) 50
(d) 100
17. A square lawn has path 4 m wide around it. If the area of the path is 196 m2, then each side of the lawn is
(a) 7.25 m
(b) 9.25 m
(c) 8.25 m
(d) 8 m
18. A cloth merchant has announced 25% rebate on marked price. If one needs to have a rebate of Rs. 40, then how many shirts, each with a marked price of Rs. 32, should he purchase?
(a) 7
(b) 8
(c) 5
(d) 6
19- One dozen pairs of socks quoted at Rs. 160 are available at a discount of 10%. Find how many pairs of socks can be bought for Rs. 60.
(a) 6 pairs
(b) 8 pairs
(c) 5 pairs
(d) 7 pairs
20. A machine is marked at Rs. 7500 for sale. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. The net selling price (in Rs.) is
(a) 6427.50
(b) 6415.40
(c) 6400.30
(d) 6423.90
21. The surface area of two spheres are in the ratio 4 : 9. What is the ratio of their volumes?
(a) 8 : 27
(b) 16 : 81
(c) 2 : 3
(d) 4 : 9
22. On increasing the diameter of a circle by 75%, the percentage increase in the perimeter is
(a) 75%
(b) 80%
(c) 65%
(d) 70%
23.Three numbers are in the ratio 1:2:3 and their HCF is 12. The numbers are
(a) 12, 24, 26
(b) 5, 10, 15
(c) 4, 8, 12
(d) 10, 20, 30
24. If x [-2 {-4 (-a)}] + 5 [-2(-a)}] = 4a, then x is equal to
(a) -2
(b) -3
(c) -4
(d) -5
25-To attract more visitors, zoo authority announces 20% discount on every ticked which costs 25 paise. For this reason, sale of ticket increases by 28%. Find the percentage of increase in the number of visitors.
(a) 40
(b) 50
(c) 60
(d) No change