দিন ব্যাংক জব পরীক্ষার আদলে একটি Aptitude Test (ব্যাখ্যা এবং উত্তর সহ)

Aptitude Test for Upcoming Bank Exam

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1.In what time will a train 100 meters long cross an electric pole, if its speed is 144 km/hr ?

A)2.9 seconds

B)2.7 seconds

C)2.6 seconds

D)2.5 seconds

Explanation:

Train Speed = [ 144 * ( 5 / 18 ) ] ( ∴ convert speed into m/sec )

= 8 * 5

= 40 m/sec

Time = Distance / Speed

= 100 / 40

= 2.5 seconds

2. The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

A)3

B)2

C)4

D)6

Explanation:

Let the ten′s digit be x and unit′s digit be y.

⇒ ( 10x + y ) – ( 10y + x ) = 36

⇒ 10x + y – 10y – x = 36

⇒ 9x – 9y = 36

⇒ 9 * ( x – y ) = 36

⇒ ( x – y ) = 36 / 9

x – y = 4

3. If a sum of money doubles itself in 8 years at simple interest, find the rate percent per annum?

A)12 %

B)12.5 %

C)13 %

D)14 %

Explanation:

Let sum = x

Simple Interest = x

Rate = ( 100 * Simple Interest ) / ( Principal * Rate )

= ( 100 * x ) / ( x * 8 )

= 12.5 %

4. A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, find out the area of the parking space in square feet?

A)126 sq.ft

B)64 sq.ft

C)100 sq.ft

D)102 sq.ft

Explanation:

Let Length l = 9 ft

⇒ ( l + 2b ) = 37

2b = 37 – l

2b = 37 – 9

2b = 28

b = 28 / 2

= 14 ft

Area = Length * Breadth

= 9 * 14

= 126 sq. ft.

5. A man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. Find his rowing speed in still water ?

A)4 kmph

B)5 kmph

C)6 kmph

D)7 kmph

Explanation:

Rate upstream = ( 750 / 675 )

= ( 10 / 9 ) m/sec

Rate downstream = ( 750 / 450 ) m/sec

= ( 5 / 3 ) m/sec

Rate in still water = [ ( 1 / 2 ) * ( ( 10 / 9 ) + ( 5 / 3 ) ) ] m/sec

= [ ( 1 / 2 ) * ( ( 10 + 15 ) / 3 ) ] = [ ( 1 / 2 ) * ( 25 / 9 ) ] = ( 25 / 18 ) m/sec

Rowing speed = [ ( 25 / 18 ) * ( 18 / 5 ) ] kmph ( ∴ convert m/sec into speed )

= 5 kmph

6. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?

A)2 / 3

B)3 / 7

C)9 / 22

D)8 / 21

Explanation:

Total number of balls = ( 8 + 7 + 6 )

n ( S ) = 21

Let E = Event that the ball drawn is neither blue nor green

= Event that the ball drawn is red.

n ( E ) = 8

Probability = 8 / 21

7. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour ?

A)10 mintues

B)12 minutes

C)14 minutes

D)15 minutes

Explanation:

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = ( 9 / 54 ) hour

= [ ( 1 / 6 ) * 60 ] minutes

= ( 60 / 6 ) minutes

= 10 minutes