916 . A man buys pen at the rate of Tk.420 per 100 pieces and sells them at Tk.60 per dozen. If the profit is Tk.100, how many pens did he buy?

A. 100
B. 125
C. 150
D. 160

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Answer: Option B

Explanation:

The cost price of 100 pens = TK. 420 Cost price of 1 pen = TK. (420/100) = TK. 4.2 Selling price of 1 dozen pens = TK. 60 Selling price of 1 pen = TK. (60/12) = TK. 5

Profit per pen = Selling price per pen - Cost price per pen = TK. (5 - 4.2) = TK. 0.8

Let the number of pens bought be x Total profit = TK. 100

Profit per pen × number of pens = Total profit TK. 0.8 × x = TK. 100 x = (TK. 100)/(TK. 0.8) = 125

Therefore, the man bought 125 pens.

917 . A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties?

A. 5:3
B. 4:3
C. 3:2
D. 4:1

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Answer: Option C

Explanation:

810

=81×10

=9×9×10

So, highest number of shirts is 9 [if 10 then ratio becomes inappropriate and impossible]

Now, 9×70=630 taka

and, (810-630)/30= 6 pieces of ties

The ratio is 9:6 or, 3:2

918 . A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk.30 each. If the man spends exactly Tk.810 and buys the maximum number of shirts possible under these condition, what is the ratio of shirts to ties?

A. 5 : 3
B. 4 : 3
C. 3 : 2
D. 4 : 1

View Answer	Favorite Question

Answer: Option C

Explanation:

We can create the equation:

7S + 3T = 81

or,7S = 81 - 3T

or,7S = 3(27 - T)

or,S = 3(27 - T)/7

The greatest value of S will be obtained when T is as small as possible. The smallest value of T which produces a number divisible by 7 after substitution is 6, so when T is 6 we have:

S = 3(21)/7 = 9

So, the ratio of S to T is 9 : 6 = 3 : 2.

919 . A man buys Tk. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is :

A. Tk. 12
B. Tk. 18
C. Tk. 15
D. Tk. 21

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Answer: Option D

Explanation:

Hints, Without 9% dividend the share price is = 20 - 20 × 9% = 20 - 1.8 = 18.2

with 12% interest the market value is = 18.2 + 18.2 + 12% = 18.2 + 2.184 = 20.384 = 21

920 . A man buys Tk. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investment, at what price did he buy the shares?

A. Tk. 37.50
B. Tk. 40
C. Tk. 48
D. Tk. 52

View Answer	Favorite Question

Answer: Option B

Explanation:

Hints: Dividend on 1 share = (50×10%) Tk

= 50 ×(10/100) = 5 Tk.

Tk. 12.5 is an income on an investment of Tk. 100

Tk. 5 is an income on an investment of Tk (100×5) / 12.5 = 40

921 . A man can cross 10 miles distance of a river in favor of the stream in 2 hours. He can come back against the stream along the same way in 5 hours. What is the average speed, in miles per hour, for the entire trip?

A. 20/7
B. 10/7
C. 7/10
D. 7/20

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Answer: Option A

Explanation:

Total distance = 10 + 10 = 20 miles

Total time required = 5 + 2 = 7 hours

Average speed = 20/7 miles per hour

922 . A man can do a job in 15 days. His father takes 20 days and his son finished it in 25 days. How long will they take to complete the job if they all work together?

A. Less than 6 days
B. Exactly 6 days
C. More than 10 days
D. Approximately 6.4 days

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Answer: Option D

Explanation:

Together in 1 day they can do

= ( 1/15 + 1/20 + 1/25) portion

= 47/300 portion

47/300 portion is done in 1 day

1 full portion dine in 300/47 day = 6.38297873 = 6.4

923 . A man can do a piece of work in 5 days. But with the help of his son, he can do it in 3 days . In what time can the son do it alone ?

A. 6.5 days
B. 7 days
C. 7.5 days
D. 8 days

View Answer	Favorite Question

Answer: Option C

Explanation:

Man completes total work in 5 days, he will do one fifth of work in day and along with son will do one third of work in day. So son alone can complete the work in 7.5 days as explained below

Work done by man in a day : 1/5

Work done by man + son in a day : 1/3

Work done by son in a day : 1/3 - 1/5 = 2/15

Time take by son to complete work : 15/2 or 7.5 days

ans: 7.5 days

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A. 8 hours
B. 5 hours
C. 10 hours
D. 20 hours

View Answer	Favorite Question

Answer: Option B

Explanation:

Downstream Speed = 10+6 => 16

Time taken to cover 80 Km = 80/16 => 5 hours

925 . A man can reach a certain place in 40 hours. If he reduces his speed by 1/15th, he goes 5km less in that time. Find the total distance covered by him.

A. 60km
B. 85km
C. 52km
D. 75km

View Answer	Favorite Question

Answer: Option D

Explanation:

Let's say, time for 2nd train is x

So, d=40x

And,

d-5=40×(x-x/15)

Or, 40x-5=40×(x-x/15)

Or, x=1.87

So, distance=40×1.87=75km

(ans)

926 . A man can reach a certain place in 49 hours. If he reduces his speed by 1/15th , he goes 5 km less in that time. Find the total distance covered by him .

A. 60 km
B. 85 km
C. 75 km
D. 52 km

View Answer	Favorite Question

Answer: Option C

Explanation:

Ratio of speed = 15: 14
Let, the speed be = 14x and 15 x
∴ 15x - 14x = 5
বা, x = 5
Total distance covered = 15 x
= 15 X 5
= 75 km

927 . A man can row 6 km/hr in still water. If the speed of the current is 2 km/hr, it takes 3 hrs more in upstream than in the downstream for the same distance. The distance is-

A. 30km
B. 24km
C. 20km
D. 32km

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Answer: Option B

Explanation:

D/(6 - 2) – D/(6 + 2) = 3
D = 24
Ans: B.

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A. 2.4 km
B. 3 km
C. 4.5 km
D. 5 km
E. None of these

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Answer: Option D

Explanation:

929 . A man can row downstream at 10 kmph and upstream at 5 kmp. The man's rowing rate in still water is--

A. 2.5 km/hr
B. 5 km/hr
C. 7.5 km/hr
D. 15 km/hr

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Answer: Option C

Explanation:

Let the man's rowing rate and stream's flowing rate be U and V respectively.

So, U + V = 10

And, U - V = 5

- - - - - - - - - - - - - - - - - - - - - - -

U + U = 10 + 5 [By addition]

or, 2U = 15

So, U = 7.5 km/hr

930 . A man can row downstream at 14 km/h and upstream at 8 km/hr. What is the rate of the stream?

A. 22
B. 11
C. 6
D. 3

View Answer	Favorite Question

Answer: Option D

Explanation:

916 . A man buys pen at the rate of Tk.420 per 100 pieces and sells them at Tk.60 per dozen. If the profit is Tk.100, how many pens did he buy?

917 . A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties?

918 . A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk.30 each. If the man spends exactly Tk.810 and buys the maximum number of shirts possible under these condition, what is the ratio of shirts to ties?

919 . A man buys Tk. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is :

920 . A man buys Tk. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investment, at what price did he buy the shares?

921 . A man can cross 10 miles distance of a river in favor of the stream in 2 hours. He can come back against the stream along the same way in 5 hours. What is the average speed, in miles per hour, for the entire trip?

922 . A man can do a job in 15 days. His father takes 20 days and his son finished it in 25 days. How long will they take to complete the job if they all work together?

923 . A man can do a piece of work in 5 days. But with the help of his son, he can do it in 3 days . In what time can the son do it alone ?

924 . A man can now a boat at 10 km/hr in still water. If the speed of the stream is 6 km/hr, the time taken to row a distance of 80 km downstream is:

925 . A man can reach a certain place in 40 hours. If he reduces his speed by 1/15th, he goes 5km less in that time. Find the total distance covered by him.

926 . A man can reach a certain place in 49 hours. If he reduces his speed by 1/15th , he goes 5 km less in that time. Find the total distance covered by him .

927 . A man can row 6 km/hr in still water. If the speed of the current is 2 km/hr, it takes 3 hrs more in upstream than in the downstream for the same distance. The distance is-

928 . a man can row at 5 km/hr in still water. If the velocity of the current is 1 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?

929 . A man can row downstream at 10 kmph and upstream at 5 kmp. The man's rowing rate in still water is--

930 . A man can row downstream at 14 km/h and upstream at 8 km/hr. What is the rate of the stream?

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