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BSNL SET (General Aptitude Set-2)
Question 1
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. What is the rate of interest per annum?
A.
12%
B.
8%
C.
15%
D.
10%
Question 2
If 40% of (A + B) = 60% of (A - B), then (2A - 3B) / (A + B) is equal to:
A.
7/6
B.
1/6
C.
5/6
D.
1/5
Question 3
A cylinder has a radius of 7 cm and a height of 10 cm. What is its total surface area? (Take π = 22/7)
A.
748 sq. cm
B.
440 sq. cm
C.
154 sq. cm
D.
616 sq. cm
Question 4
The sum of the squares of three consecutive natural numbers is 110. What is the smallest of these numbers?
A.
5
B.
6
C.
7
D.
4
Question 5
A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.
A.
10 liters
B.
12 liters
C.
15 liters
D.
18 liters
Question 6
If x = 2 + √3, then the value of (x² + 1/x²) is:
A.
14
B.
16
C.
12
D.
18
Question 7
The speed of a boat in upstream is 14 km/hr and in downstream is 20 km/hr. What is the speed of the boat in still water?
A.
17 km/hr
B.
18 km/hr
C.
3 km/hr
D.
16 km/hr
Question 8
A person sold an article at a loss of 15%. Had he sold it for Rs. 30.60 more, he would have gained 9%. The cost price of the article is:
A.
Rs. 120
B.
Rs. 127.50
C.
Rs. 140
D.
Rs. 150
Question 9
Find the least number which when divided by 12, 16, 18, and 30 leaves remainder 4 in each case, but is exactly divisible by 7.
A.
724
B.
1444
C.
2884
D.
None of these
Question 10
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
A.
0
B.
1
C.
10
D.
19
Question 11
If the side of a square is increased by 25%, then its area is increased by:
A.
25%
B.
50%
C.
56.25%
D.
62.5%
Question 12
The HCF and LCM of two numbers are 11 and 7700 respectively. If one of the numbers is 275, the other one is:
A.
279
B.
283
C.
308
D.
318
Question 13
The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle is:
A.
9 cm
B.
18 cm
C.
20 cm
D.
41 cm
Question 14
A, B and C start a business by investing Rs. 20000, Rs. 25000 and Rs. 10000 respectively. Out of a total profit of Rs. 1100, find B's share.
A.
Rs. 400
B.
Rs. 500
C.
Rs. 200
D.
Rs. 300
Question 15
If 3^(x-y) = 27 and 3^(x+y) = 243, then x is equal to:
A.
2
B.
4
C.
0
D.
6
Question 16
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2.5 hours to fill the tank. The leak can drain all the water of the tank in:
A.
8 hours
B.
10 hours
C.
12 hours
D.
7 hours
Question 17
What is the smallest number by which 3600 must be divided to make it a perfect cube?
A.
9
B.
50
C.
300
D.
450
Question 18
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A.
360
B.
480
C.
720
D.
5040
Question 19
The ratio of the volume of two cones is 1:4 and their diameters are in the ratio 4:5. What is the ratio of their heights?
A.
1:5
B.
5:16
C.
25:64
D.
25:16
Question 20
The price of sugar is reduced by 20%. Now a person can buy 500g more sugar for Rs. 36. The original price of the sugar per kilogram was:
A.
Rs. 14.40
B.
Rs. 18
C.
Rs. 15.60
D.
Rs. 16.50
Question 21
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.
25
B.
30
C.
40
D.
45
Question 22
Find the value of (0.75 * 0.75 * 0.75 + 0.25 * 0.25 * 0.25) / (0.75 * 0.75 - 0.75 * 0.25 + 0.25 * 0.25)
A.
1
B.
0.5
C.
0.25
D.
0.75
Question 23
Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
A.
12 min
B.
15 min
C.
25 min
D.
50 min
Question 24
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
A.
1520 sq. m
B.
2420 sq. m
C.
2480 sq. m
D.
2520 sq. m
Question 25
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A.
10/21
B.
11/21
C.
2/7
D.
5/7
Question 26
Data Sufficiency: What is the volume of a sphere? (I) The surface area is 616 sq. cm. (II) The radius is 7 cm.
A.
I alone is sufficient
B.
II alone is sufficient
C.
Either I or II is sufficient
D.
Both I and II are needed
Question 27
Which of the following numbers is a prime number?
A.
115
B.
119
C.
127
D.
133
Question 28
If the compound interest on a certain sum for 2 years at 4% p.a. is Rs. 102, the simple interest at the same rate of interest for the same period would be:
A.
Rs. 100
B.
Rs. 98
C.
Rs. 101
D.
Rs. 99
Question 29
The value of 1 / (1 + √2) + 1 / (√2 + √3) + 1 / (√3 + √4) is:
A.
1
B.
2
C.
√4 - 1
D.
√2
Question 30
Find the number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to build a wall 6 m long, 5 m high and 0.5 m thick.
A.
4000
B.
6400
C.
5000
D.
6000
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