Q1. A train is travelling at the rate of 45 km/hr. How many seconds it will take to cover a distance of 4/5 km?

(a) 36 sec.

(b) 64 sec.

(c) 90 sec.

(d) 120 sec.

**Q2. An areoplane covers a certain distance at a speed of 240 km/hour in 5 hours. To cover the same distance in 1 2/3 hours it must travel at a speed of:**

(a) 30 km./hr.

(b) 360 km./hr.

(c) 600 km./hr.

(d) 720 km./hr.

**Q3. A train 100 m long is running at the speed of 30 km/hr. The time (in second) in which it passes a man standing near the railway line is: **

(a) 10

(b) 11

(c) 12

(d) 15

**Q4. If a man walks 20 km at 5 km/hr. he will be late by 40 minutes. If he walks at 8km/hr. how early from the fixed time will he reach? **

(a) 15 minutes

(b) 25 minutes

(c) 50 minutes

(d) 1 1/2 hours

**Q5. A man walking at the rate of 5 km/hr. crosses a bridge in 15 minutes. The length of the bridge (in metres) is: **

(a) 600

(b) 750

(d) 1250

**Q6. A motor is consist three types of cost which is raw material, labour cost and other cost. The ratio of their expenditure is 4 : 3 : 2 for a year. Next year cost of raw material is increased by 10%, the cost of labour is increased by 8% and the other cost is decreased by 5%. Find the overall increased percentage in the cost of a motor.**

(a) 6%

(b) 61/4%

(c) 12%

(d) 10%

**Q7. Ratio of the fares of First, Second and Third class category of a train between two stations is 10 : 7 : 2 and the ratio of passenger travelling in these category is 4 : 9 : 17 respectively. If the fare is increased by 1/4 in First class, 1/8 in Second class and decreased by 10% in Third class so that the ratio of number of passenger in the category remains same. If the new collection is received of Rs. 60590, then find the total amount received from third class category.**

(a) 13280

(b) 15400

(c) 12240

(d) 12000

**Q8. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a pair of black socks is double than that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased by bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was:**

(a) 2 : 1

(b) 1 : 4

(c) 1 : 2

(d) 4 : 1

**Q9. Two candles of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles becomes 2 : 1.**

(a) 36 min

(b) 12 min

(c) 30 min

(d) 48 min

**Q10. Two candidates A and B participated in DUSU election 20% of total voting was declared invalid candidate A got 60% of valid votes and got elected by majority of 28,800 votes. Find the total voting.**

(a) 1,20,000

(b) 1,80,000

(c) 90,000

(d) 72,000

**Q11. Length of two sides of a right angle triangle are 15 cm and 20 cm it is revolved around its hypotenuse then find the volume of formed figure.**

(a) 1200π

(b) 1400π

(c)1300π

(d) none of these

**Q12. A person requires 4 m² area to lay and 20 m 3 volume to breathe what is the height of a conical tent if it can accommodates 11 persons.**

(a) 15 cm

(b)16 cm

(c)17 cm

(d)18 cm

**Q13. How many small cone of radius 3.5 cm and height 3.5 cm can be made from a larger cylinder of height 14 cm and radius 7 cm.**

(a) 45

(b) 46

(c) 47

(d) 48

**Q14. The perimeter of a triangular base of a right prism is 15 cm and the radius of the incircle of the triangular base is 3 cm. If the volume of the prism be 270 cm³ then find the height of the prism.**

(a) 12

(b) 24

(c) 36

(d) 48

**Q15. Find the area of a trapezium parallel sides of which are 77 cm & 60 cm & the other 2 sides are 25 cm & 26 cm.**

(a) 1644 cm²

(b) 1744 cm²

(c) 1544 cm²

(d) none of these

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