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চাকরির প্রস্তুতি -  February  - Questions - 0468

MATH

QUESTION

1- A sum of money at compound interest double itself in 15 years. It will become eight times of itself in
48 years
45 years
60 years
54 years
 

2- Find sum of the two number whose mean proportion is 36 and the third proportional is 288.
90
70
96
92
 

3- From the top of the 25 m high building the angle of elevation to the top of a tower is equal to angle of depression to the bottom of the tower. Height of the building will be 
40 m
48 m
50 m
52 m
 

4- If x + y + z = 9 and xy + yz + zx = 23, then the value of (x3 + y3 + z3 – 3xyz) is : 
108
207
669
729
 

5- A bag contains 20 tickets numbered from 1 to 20. Two tickets are drawn at random. What is the probability that both numbers are prime?
8/20
14/95
7/20
21/190
 

6- Men, Women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages are in the proportion of 5 : 3 : 2. When 90 men are employed, total daily wages of all amounts to ₹ 10350. Find the daily wages of a man.
Rs. 45
Rs. 57.50
Rs. 105
Rs. 75
 

7- If the CI on a certain sum for 2 years at 20% pa is Rs. 4400, and then the SI on it at the same rate for 2 years would be
3600
3900
3800
4000
 

8- A man can row at 5 kmph, in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
2.5 km
3 km
2.4 km
3.6 km
 

9- A square park has each side 19 m. At each corner of the park, there is a flower bed in the form of a quadrant of radius 7 m. Find the area of remaining part of the park.
93 sq m
207 sq m
211 sq m
112 sq m
 

10- 123 printers print 984 papers in 1/15 hour. The average number of papers printed per minute by a printer is:
1
2
3
5
 

11- In a family of husband, wife and a daughter, the sum of the husband’s age, twice the wife’s age, and thrice the daughter’s age is 85; while the sum of twice the husband’s age, four times the wife’s age, and six times the daughter’s age is 170. It is also given that the sum of five times the husband’s age, ten times the wife’s age and fifteen times the daughter’s age equals 450. The number of possible solutions, in terms of the ages of the husband, wife and the daughter, to this problem is
3
2
0
1
 

12- A pendulum at the first floor of an office ticks 90 times in 95 seconds while another pendulum at the second-floor ticks 315 times in 323 seconds. If both the pendulum were started together, how many times will they tick together in the first hour?
100
200
300
400
 

13- A man completed certain journey by a car. If he covered 30% of the distance at a speed of 30 km/hr, 60% distance at 20 km/hr and the remaining distance at 5 km/hr then what was his average speed during the entire journey?
12.25 kmph
17.67 kmph
18.5 kmph
16.67 kmph
 

14- An alloy contains zinc, copper and tin the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in the new alloy will be
1/2 kg
1/8 kg
3/14 kg
7/9 kg
 

15- Mr. Sharma invested an amount of Rs. 25000 in a fixed deposit at compound interest 8% per annum for two years. What amount Mr. Sharma will get on maturity?
Rs. 28540
Rs. 29160
Rs. 29240
Rs. 29170
 

16- The length of the portion of the straight line 5x + 12y = 120 intercepted between the axis is 
26
13
30
21
 

17- Arpita can row in still water at 4 km/hr in a stream flowing at the speed of 2 km/hr. If she rows the same distance up and down the stream then find her average speed?
1 kmph
3 kmph
5 kmph
3.5 kmph
 

18- P and Q enter into a partnership. P contributes Rs. 8500 while Q contributes Rs. 6600. After 3 months Q withdraws 1/3 part of his contribution and after 4 months from the starting P puts Rs. 2500 more. When P invested more money, R also joins them with Rs. 7200. If at the end of 1 year there is a profit of Rs. 6000, what will be the approximate share of R in the profit?
Rs. 1398
Rs. 1404
Rs. 1428
Rs. 1446
 

19- The radii of two concentric circles are 12 cm and 6 cm. AB is the diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E in such a way that it forms an angle of 90° at E with A. Point A is joined to D. The length of AD is –
3√3 cm
4 cm
6√7 cm
5√2 cm
 

20- A solid hemisphere is attached to the base of the right circular cone of diameter 20 cm and height 10 cm  if this object is to be inscribed in a right circular cylinder then find the vacant space left in the cylinder?
500 π cm³
2000 π cm³
100 π cm³
1000 π cm³
 

21- Two trains are moving in the opposite direction and their speeds are in the ratio of 2 : 1. If the first train crosses a standing man in 5 sec and another train crosses the same man in 8 sec, then determine the time taken by trains to cross each other.
6 cm
3 cm
5 cm
9 cm
 

22- The average marks scored by Rakesh in 6 out of seven subjects in an examination is 76. To get an average of 70 in seven subjects together, what is the score that Rakesh must get in seventh subject?
54
84
24
34
 

23- Cost price and marked price of an article are in the ratio of 2 : 3 while selling price and marked price are in the ratio of 3 : 4. If the profit attained on the article was Rs. 65 then find the discount percent? 
40% 
25%
10%
20%
 

24- The ratio of sides of two regular polygons is 1 : 2 and the ratio of their internal angles is 4 : 5. The number of sides of the polygons are:
3, 6
4, 8
6, 18
6, 12
 

25- Two poles of equal height are standing opposite to each other on either side of a road which is 200 m wide. From a point between them on road, angle of elevation of their top are 30° and 60°. The height of each pole (in meters)
50√3 m
45√3 m
40√3 m
25√3 m