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চাকরির প্রস্তুতি -  November  - Questions - 0435
 

QUESTIONS

MATH

1. A train is moving at a speed of 90 km/h. How many seconds will it take to cover a distance of 2275 metres
a. 96
b. 91
c. 86
d. 93
2. A train starts from a place A at 8:00 am and arrives at another place B at 1:30 pm on the same day. If the speed of the train is 30km/h, what will be the distance (in km) covered by the train
a. 165
b. 175
c. 150
d. 135
3. A train is running at 72 km/h. The distance covered by the train in 15 minutes is
a. 27 km
b. 28 km
c. 18 km
d. 36 km
4. A moving train, 66 m long, overtakes another train of 88 km long, moving in the same direction in 0.168 minutes. If the second train is moving at 30km /h, at what speed is the first train moving
a. 85 km/h
b. 50 km/h
c. 55 km/h
d. 25 km/h
5. Two trains travel in the same direction at the speed of 556 km/h and 29 km/h respectively. The faster train passes a man in the slower train in 10 seconds. The length of the faster train (in minutes) is
a. 100
b. 80
c. 75
d. 120
6. A man travelled a distance of 61 km in 9 hours, partly on foot at then rate of 4 km/h and partly on bicycle at the rate of  9 km/h. The distance travelled on foot was
a. 12 km
b. 16 km
c. 20 km
d. 24 km
7. If I walk at 5 km/h, I miss a train by 7 minutes. If, however, I walt at 6 km/h, I reach the station 5 minutes before the departure of the train. The distance (I km) between my house and the station is
a. 6
b. 5
c. 4
d. 3
8. If a distance of 50 m is covered in 1 minute, that 90 m in 2 minutes and 130 m in 3 minutes find the distance covered in 15 minutes
a. 610 m
b. 750 m
c. 1000 m
d. 650 m
9. Due to inclement weather, an airplane reduced its speed by 300 km/h, and reached the destination of 1200 km late by 2 hours. Then the schedule duration of the flight was
a. 1 h
b. 1.5 h
c. 2 h
d. 2.5 h
10. A motor cycle gives an average of 45 km per litre. If the cost of petrol is Rs. 20 per liter, the amount required to complete a journey of 540 km is
a. 120
b. 360
c. 200
d. 240
11. If p4 = 119 -  , then the value of 
P3 -  is
a. 24
b. 32
c 36
d. 18
12. If x +  =2, then the value of
x +   is
a. 
b. 2
c. 
d. 
13. If m =-4, n=-2 then the value of m3-3m2+3m+3n+n3 is
a. -126
b. 124
c. -124
d. 126
14. Given that x3+y3 = 72 and xy=8 with x>y. Then the value of (x-y) is
a. 4
b. -4
c. 2
d. -2
15. If x=2 then the value of x3+27 x2+ 243 x + 631 is
a. 1233
b. 1211
c. 1231
d. 1321
16. What is the simplified value of[ (1+sec2 ) tan2 ] +1
a. cos 2 
b. 1
c. sec2 
d. cosec 
17. What is the simplified value of [(1-cos2 ) cosec4 ]- cot2 
a. -1
b. 0
c. 1
d. 3
18. If 3 cot  = 4 cos  what is the value of cos 2 
a. 
b. - 
c. 
d. 
19. If cosec2+ cot 2 =7, what is the value of  (in degree)
a. 15
b. 30
c. 45
d. 60
20. If tan2 + cot 2=2, then what is the value of 2 sec cosec
a. 0
b. 1
c. 2
d. 4
21. the ratio of the area of the incircle and circum-circle of a square is
a. 1:2
b. :1
c. 1: 
d. 2:1
22. The ratio of the area of the circumcirle and the incircle of an equilateral triangle is
a. 2:1
b. 4:1
c. 8:1
d. 3:2
23. The area of the square inscribed in a circle of radius 8 cm is
a. 256 sq. m
b. 250 sq. m
c. 128 sq. m
d. 125 sq. m
24. The area of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm, and the breadth is less by 3 cm. Find the perimeter of the rectangle
a. 17 cm
b. 26 cm
c. 30 cm
d. 34 cm
25. If the area of a triangle with base 12 cm is equal to the area of a square with side 12 cm, then altitude of the triangle will be
a. 12 cm
b. 24 cm
c. 18 cm
d. 36 cm