751 . A cake is put in the oven at 7.20 am. If the cake takes three quarters of an hour to bake, at what time should it be taken out of the oven?

A. 8 : 10 a.m
B. 8 : 05 a.m
C. 8 : 15 a.m
D. 7 : 50 a.m

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Answer: Option B

Explanation:

Three quarters of an hour = 45 minutes

7:20 am + 45 minutes = 8:05 am

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সাবস্ক্রিপশন লিংক

752 . A can complete a piece of work in 12 days, A, B and C can complete the work in 6 days, Efficiency of B is 0.5 times the efficiency of In how many days C can complete the works= alone?

A. 24 days
B. 10 days
C. 16 days
D. 12 days

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Answer: Option A

Explanation:

Efficiency ratio of A:B = 1 : 3 = 2:1

So, days ratio A:B = 1:2

A needs 12 days, So B needs 12x2 = 24 days

C can do in 1 day = 1/6 - {(1/12) + (1/24)} = (1/6) - ((3/24) = (1/24) part

C can do 1/24 part in 1 day

" " " 1 " " 1X24 = 24 day.

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A. 16 days
B. 18 days
C. 23 days
D. 27 days

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Answer: Option B

Explanation:

1 দিনে A ও B একত্রে করে ( 1/20 + 1/30) = 1/12 অংশ

B 10 দিনে করে 10/30 অংশ = 1/3 অংশ

অবশিষ্ট ( 1 - 1/3) = 2/3 অংশ

A ও B একত্রে 1/12 অংশ করে 1 দিনে

A ও B একত্রে 1 অংশ করে = ( 12 ×1) দিনে

A ও B একত্রে 2/3 অংশ করে = 12 × 2 /3 = 8 দিনে

মোট সময় লাগে ( 10 + 8) দিন = 18 দিন

754 . A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 liters of mixtures are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liters of liquid A was contained by the can initially?

A. 10
B. 20
C. 21
D. 25

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Answer: Option C

Explanation:

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A. 8 hours
B. 12 hours
C. 10hours
D. 24 hours

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Answer: Option B

Explanation:

A,B and C together need = (3×4)/(3 + 4) = 12/7 hours

And C need 2 hours

∴B need = {(12/7)×2}/{2 - (12/7)} hours

= (24/7)/{(14 - 12)/7}

= 24/2 hours

= 12 hours

756 . A can do a piece of work in 4 hours, B and C together can do it in 3 hours , while A and C together can do it in 2 hours. How long will B alone take to do it?

A. 8 hours
B. 10 hours
C. 12 hours
D. 24 hours
E. None of these

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Answer: Option C

Explanation:

A 1 hour work = 1/4

(B + C) 1 hour work = 1/3

(A + C) 1 hour work = 1/2

(A + B + C) 1 hour work = (1/4 + 1/3) = 7/12

B 1 hour work = ( 7/12 - 1/2) = 1/12

B alone will take 12 hour to do the work.

757 . A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day ?

A. 2/5
B. 1/6
C. 1/9
D. 2/7

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Answer: Option B

Explanation:

Hints: Given that B alone can complete the same work in day = half the time taken by A = 9 days

A's One day's work = 1/18

B's One days work = 1/9

(A + B)'s one days work = 1/18 + 1/9 = 1/6

758 . A can finish a work in 5 days and B takes 4 days to do the same work. If the work is increased by 8 times, how many days will it take for both of them to finish the work if they work together?

A. 10 days
B. 15 days
C. 20 days
D. 25 days

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Answer: Option C

Explanation:

new work size = 1 + 8 = 9 works.
A & B can do in 1 day (working together) = 1/5 + 1/4 = 9/20
Required number of days = 9/(9/20) = 20 days. Ans: C

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A. 60
B. 80
C. 200
D. None of these

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Answer: Option B

Explanation:

Let the maximum marks be 'x'.

Then, according to the question.

(25 % of x) + 30 = (50 % of x) - 20

⇒ x/4 + 30 = x/2 - 20

⇒ (x/4) - (x/2) = - 20 - 30

⇒ (x - 2x)/4 = - 50

⇒ - x/4 = - 50

⇒ - x = - 200

⇒ x = 200

So, the maximum marks are 200.

Minimum passing marks are = x/4 + 30 = 200/4 + 30 = 50 + 30 = 80 marks

Minimum passing marks are 80

760 . A car goes 15 km on a gallon of octane when it is driven at 50 km/h. When the car is driven at 60 km/h, it only goes 80% as far. How many gallons of octane are needed to travel 200 km if half the distance is traveled at 50 km/h and the rest 60 km/h?

A. 15.00
B. 16.67
C. 10.60
D. 14.00

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Answer: Option A

Explanation:

প্রতিক্ষেত্র গতি ৫০ কিমি/ঘন্টায়

দ্বিতীয় ক্ষেত্রে গতি ৬০ কিমি/ঘন্টায়

প্রতি গ্যালন এ যায় = ১৫ × ৮০/১০০ = ১২ কিমি

৫০ কিমি/ঘন্টায়,

৫ কিমি যায় = ১ গ্যালন অকটেনে

২০০/২ = ১০০ কিমি যায় = ১০০/১৫ গ্যালন

আবার, ৬০ কিমি/ঘন্টায়

১২ কিমি যায় = গ্যালন অকটেনে

১০০ কিমি যায় = ১০০/১২ গ্যলনে

মোট যায় = ১০০/১৫ + ১০০/১২ = ৪০০ + ৫০০/৬০ = ৯০০/৬০ = ১৫ গ্যলন

761 . A car goes 15 miles on a gallon of octane when it is driven at 50 miles per hour. When the car is driven at 60 miles per hour, it only goes 80% as far. How many gallons of octane is needed to travel 200 miles if half the distance is traveled at 50 miles per hour and the rest at 60 miles per hour?

A. 13.33
B. 16.67
C. 10.6
D. 15
E. None of these

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Answer: Option D

Explanation:

A car goes 15 km with a gallon of octane at 50 km/hr.

Again,

If travels with 60 km/hr, it goes 80% far as that of before. i.e.

D = 80%×15 = 12 km.

Now,

According to question, if 100 km is travelled in 50 km/hr and another 100 km in 60 km/hr then,

In 50 km/hr: 1 gallon = 15 km

In 60 km/hr: 1 gallon = 12 km

Hence,

Total required gallons of octane is;

100/15 + 100/12

= 15 gallons.

762 . A car is driven at the speed of 100 km/hr and stops for 10 minutes at the end of every 150 km. To cover a distance of 1000 km, it will take.

A. 11 hours
B. 9 hours
C. 10 hours
D. 12 hours

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Answer: Option A

Explanation:

150 ÷ 1000 = ভাগশেষ = 100, ভাগফল = 6

100 km/hr বেগে 1000 km অতিক্রম করে 10 ঘন্টায় । কিন্তু 150km পর পর থামার কারনে সময় ব্যায় হয়। ( 6 × 10) মিনিটে বা 60 মিনিট বা 1 ঘন্টা

মোট সময় লাগে ( 10 + 1) = 11 ঘন্টা।

763 . A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds?

A. 55 meters
B. 45 meters
C. 450 meters
D. None of these

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Answer: Option C

Explanation:

1 hour=60×60×60=216000 sec

In 216000 sec it goes 108 km

So, in 15 seconds it goes

(15×108)/216000 km

=0.45km

=0.45×1000 m

=450 meters

(ans)

764 . A car parking charges n take for the first hour, and m paisa for every additional hour. What amount it will charge if a car stayed for 5 hours?

A. n + 5m
B. m + 5n
C. m + 4n
D. n + 4m

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Answer: Option D

Explanation:

First hour charges = n, remaining 4 hour charges = 4m. Total charges = n + 4m

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A. 10
B. 30
C. 90
D. 120

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Answer: Option C

Explanation:

Time spent = 9:55am to 10:15am = 20 minutes = 1/3 hours.

Average speed = 30 / (1/3) = 90 miles per hour

751 . A cake is put in the oven at 7.20 am. If the cake takes three quarters of an hour to bake, at what time should it be taken out of the oven?

752 . A can complete a piece of work in 12 days, A, B and C can complete the work in 6 days, Efficiency of B is 0.5 times the efficiency of In how many days C can complete the works= alone?

753 . A can complete a project in 20 days and B can complete the same project in 30 days. A and B start working on the project together and A quits 10 days before the project is expected to be completed. How many days in total will the project take to complete ?

754 . A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 liters of mixtures are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liters of liquid A was contained by the can initially?

755 . A can do 3 piece of work in 4 hours, B and C together in 3 hours , and A and C together in 2 hours. How long will B alone take to do it?

756 . A can do a piece of work in 4 hours, B and C together can do it in 3 hours , while A and C together can do it in 2 hours. How long will B alone take to do it?

757 . A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day ?

758 . A can finish a work in 5 days and B takes 4 days to do the same work. If the work is increased by 8 times, how many days will it take for both of them to finish the work if they work together?

759 . A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who score 50% marks gets 20 marks more than the minimum pass marks. what is the minimum pass mark?

760 . A car goes 15 km on a gallon of octane when it is driven at 50 km/h. When the car is driven at 60 km/h, it only goes 80% as far. How many gallons of octane are needed to travel 200 km if half the distance is traveled at 50 km/h and the rest 60 km/h?

762 . A car is driven at the speed of 100 km/hr and stops for 10 minutes at the end of every 150 km. To cover a distance of 1000 km, it will take.

763 . A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds?

764 . A car parking charges n take for the first hour, and m paisa for every additional hour. What amount it will charge if a car stayed for 5 hours?

765 . A car passes Dhaka at 9:55 am and Gazipur at 10:15 am. Gazipur is 30 miles from Dhaka. What is the average speed of the car in miles per hour?

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