151 . A train of length 150 m takes 10 seconds to cross another train 100 m long coming from the opposite direction . If the speed of first train is 30 km / hr, what is the speed of second train?

A. 48km /hr
B. 54 km / hr
C. 60 km / hr
D. 72 km / hr

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Answer: Option C

Explanation:

Take the speed of the second train =
x
km/hr
They will have to cover a distance = sum of the lengths of the trains ( 150 + 100 = 250 m = 0.25 km )
Obtain their relative speed( x + 30 ) km/h & find out the time taken ( 10 sec = 10/3600 hr )
Equate it to 10s and solve for
( x + 30 ) =( 0.25/ 10 ) * 3600
x = 60 km/hr

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Sonali &amp-Janata Bank | Officer (IT)| 04.01.2019

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152 . A train travels from New York to Chicago a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in the evening Chicago time. At what hour in the morning New York City time, did the train depart for Chicago?(Note: Chicago time is one hour earlier than New York City time.)

A. 4:00
B. 5:00
C. 6:00
D. 7:00
E. 8:00

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Answer: Option B

Explanation:

6:00 in evening in Chicago = 7:00 in evening in New York. So, the train was in Chicago 7:00 in the evening, New York time.

The trip took T = D/R = 840/60 = 14 hours. Therefore, the train depart from New York at 7:00 - 14 hours = 5:00 in the morning, New York time.

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153 . A train which travels at a uniform speed due to some mechanical fault after traveling for an hour goes at 3/5th of the original speed and reached the destination 2 hours late. If the fault had occurred after traveling another 50 miles, the train would ha

A. 280
B. 300
C. 310
D. 320
E. 305

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Answer: Option B

Explanation:

Let, the original speed is x and 3/5 th of original speed is 0.6x

50/0.6x - 50/x = 40/60
(250 - 150)/3x = 2/3
100/3x = 2/3
6x = 300
x = 50

3/5 of 50 = 30
speed reduces by = 50 - 30 = 20
It is late by 2 hours and by this time it goes 30*2 = 60
If the train goes with its original speed it took 60/20 = 3 hours after the first hour. That means total 4 hours.
Therefore, total distance covered

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Bangladesh Bank - Assistant Director - 2011

A. 1:10pm
B. 12:55pm
C. 1:05pm
D. 1:08pm
E. 12:50pm

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Answer: Option A

Explanation:

The time difference = 1pm - 7 pm = 6 hour = 360 minutes

3 minute gains from 5 second

1 minute gains from 5/3 second

360 minute gains from (5×360)/3 second = 600 second = 10 minute

So, at 1 PM, the watch will indicate = 1PM + 10 minute = 1 : 10 PM

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Bangladesh Bank - Assistant Director - 2013 ||

A. 10
B. 12
C. 14
D. 16

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Answer: Option B

Explanation:

In 1 hr, the tank is filled = 1/8 - 1/16 = 1/16
In 8 hrs " " " " = 8/16 = 1/2
Now,
1/8 part is filled by tap - 1 in 1 hour
1/2 part is filled by tap - 1 in = 8/2 = 4 hrs
So, the required time = 8 + 4 = 12 hrs

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Sonali- Rupali- Bangladesh Krishi- Rajshahi krishi unnayn-Investment Corporation of Bangladesh | 30.11.2018

A. 20
B. 25
C. 30
D. 35

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Answer: Option C

Explanation:

Let, x eggs at 12 cents each and y eggs at 14 cents each.

1 dollar = 100 cents.

So, 12x + 14y = 660 and x + y = 50.

Solving these two, we get x = 20, y = 30.

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157 . $a^{2} + 3 a b = 145$ If $a = 5$ then what is the value of $b^{2} ?$

A. $8$
B. $64$
C. $16$
D. $4$

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Answer: Option B

Explanation:

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সমন্বিত ৫ ব্যাংক | অফিসার ক্যাশ | 25-03-2022 ||

158 . $a^{2} + b^{2} = ?$

A. ${(a + b)}^{2} + 2 a b$
B. ${(a + b)}^{2} - 2 a b$
C. ${(a + b)}^{2} - 4 a b$
D. ${(a + b)}^{2} + 4 a b$

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Answer: Option B

Explanation:

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প্রবাসী কল্যান ব্যাংক।। অফিস সহায়ক (05-05-2023) || 2023

A. 3
B. 15
C. 5
D. 4

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Answer: Option D

Explanation:

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160 . $A^{3}$ is odd,which if the following is true ?

A. $A i s o d d o n l y$
B. $A^{2} i s o d d o n l y$
C. $A^{2} i s e v e n$
D. $B o t h A a n d A^{2} a r e o d d$

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Answer: Option D

Explanation:

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অফিসার (জেনারেল) - 12.11.2021

A. 2% loss
B. 1 % profit
C. 1 % loss
D. None of these

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Answer: Option C

Explanation:

In the case where loss and gain percentage is common on same selling price, always a loss incurs in total deal. And this can be calculated by a short - cut: Loss on total deal, = (Common loss or gain percentage/10)^2 = (10/10)^2 = 1%

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Officer (General) -Ansar VDP Unnayan | BD House Building Finance Corporation 28.09.2018

A. ∠BAD
B. ∠BCD
C. ∠CBD
D. ∠ABD
E. None of these

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Answer: Option E

Explanation:

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163 . After paying 10% tax on all income over Tk.3000, Rahim had a net income of tk.12000. Rahim's income before tax (in Tk) was--

A. 12900
B. 12300
C. 13300
D. 10300
E. 13000

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Answer: Option E

Explanation:

12, 000 - 3, 000 = 9, 000

10% tax, if after tax income Tk.90 before tax income Tk.100

If after tax income Tk. 9000 before tax income Tk. = ( 100× 9000)/90 = 10, 000

Before tax income = 10, 000 + 3, 000 = Tk.13, 000

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164 . After replacing an old member by a new member , it was found that the average age of five members of a club is the same as it was 3 years ago . What is the difference between the ages of the old and the new member ?

A. 15 year
B. 8 year
C. 4 year
D. 2 year
E. None of them

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Answer: Option A

Explanation:

Age decreased = (5 × 3) years = 15 years
So, the required difference = 15 years

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Bangladesh Bank - Assistant Director - 2012

A. TK.750
B. TK. 875
C. TK. 745
D. TK. 756

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Answer: Option A

Explanation:

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ওয়েজ আর্নার্স কল্যাণ বোর্ড || সহকারী পরিচালক (22-11-2024) || 2024

151 . A train of length 150 m takes 10 seconds to cross another train 100 m long coming from the opposite direction . If the speed of first train is 30 km / hr, what is the speed of second train?

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153 . A train which travels at a uniform speed due to some mechanical fault after traveling for an hour goes at 3/5th of the original speed and reached the destination 2 hours late. If the fault had occurred after traveling another 50 miles, the train would ha

154 . A watch which gains 5 seconds in 3 minutes was set right at 7am . In the afternoon of the same day when the true time is 1 pm, the watch will indicate :

155 . A water tank has two taps ( Tap-1 and Tap-2) : Tap-1 can fill a tank in 8 hours and Tap-2 can empty the tank in 16 hours . How long will they take to fill the tank if both taps are opened simultaneously but Tap -2 is closed after 8 hours?

156 . A woman buys 50 eggs for $6.60. Some cost 12 cents each and the rest 14 cents each. How many eggs has she bought at 14 cents each?

159 . a2−b2=20 ; a+b=5, what is the value of a - b ?

161 . Aalm sold tow vehicles for Tk. 46000 each . If he gained 10% on the first and lost 10% on another , then what is his percentage profit or loss in this transaction ?

162 . ABC is a right angle of an isosceles triangle ∆ABC. BD is perpendicular to AC. Which of the following if any is not a 45° angle?

163 . After paying 10% tax on all income over Tk.3000, Rahim had a net income of tk.12000. Rahim's income before tax (in Tk) was--

164 . After replacing an old member by a new member , it was found that the average age of five members of a club is the same as it was 3 years ago . What is the difference between the ages of the old and the new member ?

165 . Ahmed sold a T- shirt TK. 810 again 8%. How much did he purchase it for?

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