Explanation:

An athlete running at 24 km /hr crosses a square field diagonally in 3 minutes. what is the area of the field? Correct Answer 720,000m2 Speed = 24 km/hr Time = 3 min = 3/60 hr = 1/20 hr Diagonal length of the field = 24 x 1/20 = 1.2 km = 1200 m Side of the square field = 1200/√2 = 848.53 m [Diagonal of square = √2 x side length]   So, area of the field = 848.532 m2 ≈ 720000 m2

Explanation:

A man runs x miles in m minutes. What is his rate of run in miles per hour? Correct Answer 60x/m Time = m/60 hour Rate of run = distance / time = x / (m/60) =  60x/m miles per hour

Explanation:

What percent of 1/2 is 12/16? Correct Answer 150% Let the percentage be X. So, X% of 1/2 = 12/16 or, X/100 of 1/2 = 12/16 or, X = 12/16 x 2 x 100 = 150

Explanation:

If w= 4x, 12y=8x , 6y=2z and 9v=6z then what is the value of 'w' in terms of 'V'? Correct Answer w=3v Here, 6z = 9v or, z = 9v / 6 = 3v/2 Again, 6y = 2z Again, 8x = 12y or,  4x = 6y = 2z = 2 x 3v/2 = 3v So, w = 4x = 3v

Explanation:

A bag of chicken feed can feed 18 chickens for 54 days. For how many days will it feed 12 chickens? Correct Answer 81 18 chickens can feed for = 54 days1 chicken can feed for = (54*18) days12 chickens can feed for = (54*18)/12  days                                              = 81 days

Explanation:

A jar contains 10 red marbles and 30 green marbles . How many red marbles must be added to the jar so that 60% of the marbles will be red ? Correct Answer 35 New percentage of green marbles = 100% - 60% = 40% Now, 40% of total marbles = 30 [number of green marbles remains unchanged] So, total number or 100% of marbles = 30 x 100 / 40 = 75 More red marbles required = 75 - (10 + 30) = 35

Explanation:

In a school 80% students passed in Bangla and 65% passed in Science . If 50% of the students have passed both the subjects, what percent of the students have failed in both Bangla and Science? Correct Answer 5% Students passed in atleast one subject = 80% + 65% - 50% = 95% Students failed in both subjects = 100% - 95% = 5%

Explanation:

If the co-ordinates of A and B are (4, 1) and (-2, 7) respectively, then the co-ordinates of the midpoint of AB are. Correct Answer (1, 4) Let the midpoint coordinate of AB be (x, y). Now,   x = (x1  + x2)/2 = (4 + ( - 2))/2 = 2/2 = 1 And,    y = (y1  + y2)/2 = (1 + 7)/2 = 8/2 = 4 So, the coordinate (x, y) = (1, 4).

Explanation:

Karim drove for h hours at a constant rate of r miles per hour . How many miles did he go during the final 20 minutes of his drive ? Correct Answer r/3 we know, Distance (D) = Speed (S) * Time (T)so, S * T = r*20/60 mins               = r / 3.(ans)

Explanation:

If one cake serves 7 People, How many cakes are needed to serve a party of 98 people? Correct Answer 14 If 7 people need to be served 1 cake Then, 98 people need to be served = 98/7 = 14 cakes

Explanation:

A man deposits Tk 600 in a Bank at 10% interest rate compounded annually, At the end of the second year, the total amount including interest will become Tk- Correct Answer 726 C = P(1 + r/n)nt  [C = principal with interest, r = rate of interest, n = number of times interest is compounded per time period, t = number of time periods] Now, P = 600, r = 10/100 = 0.1, n = 1, t = 2 So, C = 600 x (1 + 0.1)2 = 600 x 1.12 = 600 x 1.21 = 726 TK

Explanation:

1 + 2 + 3 + .................. + 100 = ? Correct Answer 5050 এখানে, মোট পদ n = 100 ∴ সমষ্টি S = n(n + 1)/2 = 100(100 + 1)/2 = (100×101)/2 = 5050

Explanation:

Half of the student of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school? Correct Answer 900 Fraction of students playing Football = 1/2 Fraction of students playing Cricket = 1/3 of the remaining 1/2 = 1/6 Now, fraction of the students not playing either of the games = 1 - (1/2 + 1/6) = 1 - (3 + 1)/6 = 1/3 According to the question, 1/3 of the students = 300 So, the number of total students = 300 x 3 = 900.

Explanation:

In a class , the ratio of the number of boys to girls is 5 : 3 . What percent of the students of the class are girls ? Correct Answer 37.5% Summation of ratios = 5  + 3 = 8 So, percentage of girls = 3 / 8 x 100% = 37.5%

Explanation:

From 2004 to 2005. the sales of a book decreased by 80%. If the sales in 2006 were the same as in 2004, by what percent did they increase from 2005 to 2006 ? Correct Answer 400% let, 100 copies were sold in 2004 ∴copies sold in 2005 = 100 - 80 = 20 copies sold in 2006 = 100 so, required increase = (100 - 20)/20 × 100 = 400% (ans)

Explanation:

A car travels at the rate of 50 miles per hour. How many minutes will it take to travel 2/5 miles at this speed? Correct Answer 0.48 The car can travells 50 miles in an hour or 60 minutes So, the car can travells 2/5 miles in 60 x (2/5) / 50 minutes = 0.48 minutes

Explanation:

A television service center can process 8 televisions in 18 minutes. How many televisions can it process in 3 hours at this rate? Correct Answer 80 Number of televisions it can process in 18 minutes = 8 So, number of televisions it can process in (3 hours or 180 minutes) = 8 x 180 / 18 = 80

Explanation:

The average of 10 numbers is ---10. If the sum of 6 of them is 100, then what is the average of the other 4 numbers ? Correct Answer -50 Total of 10 numbers = - 10×10 = - 100 the sum of 6 numbers  is 100 so,Sum of last 4 numbers = - 100 - 100 = - 200 ∴Average = - 200/4 = - 50 (ans)

Explanation:

What is the total, interest on Tk 800 at 12.5% per annum for 9 months (in taka)? Correct Answer 75 ১২.৫% সুদে ৮০০ টাকার এক বছরের সুদ=৮০০×(১২৫/১০০×১০)=১০০ টাকা১২ মাসের সুদ ১০০ টাকা১   মাসের সুদ =(১০০/১২)৯   মাসের সুদ =(১০০*৯)/১২=৭৫ টাকা

Explanation:

Salam's average in four test is 80%. What mark does she need to score in her fifth test to make her average 84%? Correct Answer 100% the sum of the first 4 test scores is 4*80 = 320.  the sum of ALL 5 scores to be 5*84 = 420.  ∴she need score in her fifth test = 420 - 320 = 100. (ans)

Explanation:

Karim has exactly 3 times as many Bangladesh as non-Bangladesh stamps in his collection . Which of the following cannot be the number of stamps in Karim's collection ? Correct Answer 54 Here, the ratio is 3 : 1. The total number of stamps must be divisible by the sum of the ratios which is (3 + 1 = 4). Only the number 54 is not divisible by 4. So, 54 cannot be the total number of stamps in his collection.

Explanation:

Three-fourth petrol of a reservoir is used to fill the petrol tanks of five trucks having the same storage capacity. What part of the total capacity of the petrol reservoir did each truck receive? Correct Answer 3/20 Let the capacity of each truck and the reservoir be T and R respectively. Total capacity of five trucks = 5T According to the question,  5T = 3/4 of R or,  T = 3/4 x R / 5 = (3/20) R So, each truck received 3/20 of the reservoir.

Explanation:

If x% of y is 10, then what is y ? Correct Answer 1000/x ATQ, x% of y = 10 or, xy/100 = 10 or, xy = 1000 or,  y = 1000/x ans: 1000/x

Explanation:

In an examination of four subjects, a student got 70,80, 90 and x marks and his average was 75. What was the value of x? Correct Answer 60 Here, 70 + 80 + 90 + x = 4 x 75 or,  x = 300 - 240 So,  x =  60

Explanation:

What is the are a of a square (in sq. meter) if its perimeter is 40 meter ? Correct Answer 100 Side of the square = 40 / 4 = 10 m  [ Perimeter of square = 4 x side length] So, area of the square = 102 = 100 m2

Explanation:

If the product of 4 consecutive integers is equal to one of them , then what is the largest possible value of one of the integers ? Correct Answer 3 let,4 consecutive numbers are 0,1,2,3 Now lets take the product of them: 0 * 1 * 2 * 3 = 0 As we can see, it's equal to one of the integers which is 0 So that meets the requirement. From those set of numbers, 3 is the largest. (ans)

Explanation:

Murad bought equal number of 20-paisa stamps and 30-paisa stamps the Murad bought? Correct Answer 40 the Question is wrong.it should be - "Murad bought equal numbers of 20 - paisa and 30 - paisa stamps. If the total cost of the stamps was Tk.10.00, what was the total number of stamps bought? "   Slution: ATQ, 20x + 30x = 10 × 100 = > 50x = 1000 = > x = 1000/50 ∴x = 20  অর্থাৎ সে মোট দুই প্রকারের Stamp কিনেছিল = 20 + 20 = 40 টি । (ans)

Explanation:

Mr. Jamal employed 50 workers to finish a work within 30 days . After 20 days he found out that only 50% work had been completed. How many additional workers did Mr. Jamal need to finish the work in time? Correct Answer 50 Remaining days = 30 - 20 = 10 days Remaining work = 100% - 50% = 50% Now, 50% work can be completed in 20 days by 50 workers So, 50% work can be completed in 10 days by 50 x 20 / 10 = 100 workers Therefore, additional workers needed = 100 - 50 = 50

Explanation:

If 10% of r is 20% of s. is 20% of s is 30% of t and 100% of r is x% of t, then x is ---- Correct Answer 300 Here  0.1 × r = 0.2 × s = 0.3 × t  r =  0.01 × x × t3 × t =0.01  × x × tSo, x = 300 (ans.)

Explanation:

Three times a number minus 7 is 32. What is the twice of the number? Correct Answer 26 Let the number be N. According to the question, 3N - 7 = 32 or,  3N = 32 + 7 = 39 So,  N = 39/3 = 13 Therefore,  twice of N or  2N = 2 x 13 =  26.

Explanation:

If r=18 and r/s = 6/y, then y/s is ---- Correct Answer 1/3 Here, r/s = 6/y or, y/s = 6/r So, y/s = 6/18 = 1/3  [r = 18]

Explanation:

A container full of water weighs 18.5 kg. If one -fourth of the container is full of water , it weighs 6.5 kg . What is the weight of the empty container? Correct Answer 2.5 kg Weight of container + weight of totally filled water = 18.5 kg Weight of container + weight of 1/4 th filled water = 6.5 kg - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - [Subtraction]  Weight of the 3/4th [1 - 1/4 = 3/4]  filled water = 18.5 - 6.5 = 12 kg So, weight of fully filled water = 12 x 4 / 3 = 16 kg Therefore, weight of the container = 18.5 - 16 = 2.5 kg

Explanation:

A retailer buys a Panjabi and a Fatua jointly at Tk. 500. If he sells the Fatua at 10% profit and the panjabi at 5% loss , then he gets, Tk. 520 as total sales price. What is the cost price of the Fatua? Correct Answer Tk. 300 Let the cost price of the Fatua and the Panjabi be F and (500 - F) respectively. Now, total sales price,  F + 10% of F + (500 - F) - 5% of (500 - F) = 520  or,  F + 10/100 F + 500 - F  - 5/100 of 500 + 5/100 of F = 520 or,  F/10 + F/20 = 520 + 25 - 500 or,  3F/20 = 45 or,  F = 45 x 20 / 3 =  300 TK

Explanation:

50% of the people in an area read Ittefaq and 60% of the people in that area read Prothom Alo. 20% people read both the newspapers. What percent of people do not read any of the newspapers ? Correct Answer 10 Total = Ittefaq + Prothom Alo - Both + None = > 100% = 50% + 60% - 20% + None. So, None = 10%

Explanation:

The average of 100 observations in a study was calculated as 49.7 . Later it was revealed that one of the observations was misread as 64 instead of 94. What will be the correct average ? Correct Answer 50 The erroneous total of the obsevations = 49.7 x 100 = 4970 The correct total of the observations = 4970 - 64 + 94 = 5000 So, the correct average = 5000/100 = 50.

Explanation:

If 6 workers can complete 1 identical job in 3 days, how long (in days) will it take 4 workers to complete 10 such jobs ? Correct Answer 5 this question should be - If 6 workers can complete 9 identical jobs in 3 days, how long (in days) will it take 4 workers to complete 10 such jobs? Solution: 6 workers can complete 9 identical jobs in 3 days. ∴1 worker can complete 1 identical jobs in = (6 x 3)/9 days  ∴4 workers can complete 10 identical jobs in = (6 x 3 x 10) /(9 x4) days = 5days 4 workers can complete 10 jobs in 5 days. (ans)

Explanation:

A form sorting machine can sort 12 forms in 10 minutes. How many forms can it sort in one and half hours at this rate ? Correct Answer 108 One and half hours = 90 minutes The machine, in 10 minutes, can sort 12 forms So, it, in 90 minutes, can sort 12 x 90 / 10 = 108 forms

Explanation:

Farid can complete a job in 12 hours, and Jibon can complete the same job in 8 hours. Farid starts the job at 9 a.m., and stops working at 3 p.m. If Jibon starts working at 4 p.m. to complete the remaining job, at what time is the job finished? Correct Answer 8 p.m. Farid works from 9 am to 3 pm = 6 hours Farid can complete the job in 12 hours. So, in 6 hours, he can complete 6/12 or 1/2 of the job. Now, Jibon has to complete the rest 1/2 of the job. But, he can complete the job in 8 hours. So, he will take 8/2 or 4 hours only to complete the rest of the job. If Jibon starts working from 4 pm, the job will be completed by 8 pm.

Explanation:

In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many marbles will he have to take out of his pocket to ensure that he has taken out at least one of each color? Correct Answer 9 Even if he takes out all of the blue and green marbles (4 + 4 = 8), he still has one color left. So, to make sure that he has taken out atleast one marble of each colour, he will have to take (4 + 4 + 1 = 9) marbles out of his pocket.

Explanation:

What is the sum of 134.679, -45.548 and -67.8807 rounded to the nearest tenths place? Correct Answer 21.3 Here, 134.679 - 45.548 - 67.8807 = 21.2503 ≈ 21.3 so,rounded to the nearest tenths place = 21.3

Explanation:

পিতা ও পুত্রের বয়সের অনুপাত ৭ : ৩। চার বছর পূর্বে তাদের বয়সের অনুপাত ছিল ৩ : ৫। বর্তমানে পুত্রের বয়স কত? সঠিক উত্তর ২৪ বছর ধরি, পিতার বয়স = ৭ক এবং, পুত্রের বয়স = ৩ক ( ৭ক - ৪) / (৩ক - ৪) = ১৩/৫ ৩৫ক - ২০ = ৩৯ক - ৫২ ৪ক = ৩২ ক = ৮ পুত্রের বয়স = ৩ × ৮ = ২৪

Explanation:

A jar contains 4 red toothpicks , 10 blue toothpicks and 6 yellow toothpicks. If three toothpicks are removed from the bag at random and no toothpick is returned to the bag after removal, what is the probability that all three toothpicks will be blue? Correct Answer 2/19 Probability = (10/20) × (9/19)×( 8/18) = 2/19

Explanation:

একটি বই বিক্রয় করার সময় বিক্রেতা লিখিত মূল্যের উপর ১৫% কমিশন প্রদান করে। বইটির লিখিত বিক্রয়মূল্য ১২০ টাকা হলে বইটি কত টাকায় ক্রয় করা যাবে? সঠিক উত্তর ১০২ টাকা ১২০× ১৫% = ১২০ × ১৫/১০০ = ১৮ বইটি ক্রয় করা যাবে ( ১২০ - ১৮) = ১০২ টাকায়

Explanation:

Jesmin spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourths of what she had left on food. She had Tk. 500 left over. How much money did she start with? Correct Answer Tk. 6,000 Money spent on books = 1/3 Money spent on clothing = 1/2 x (1 - 1/3) = 1/2 x 2/3 = 1/3 Money spent on food = 3/4 x {1 - (1/3 + 1/3)} = 3/4 x (1 - 2/3) = 3/4 x 1/3 = 1/4 Fraction of money left over = 1 - (1/3 + 1/3 + 1/4) = 1 - (4 + 4 + 3)/12 = 1 - 11/12 = 1/12 Now, 1/12 th of the money = 500 So, total money she started with = 500 x 12 = 6000 TK

Explanation:

If x=2y =3z and xyz =36 , what is the value of z? Correct Answer 2 Here., x = 2y = 3z x = 3z and, 2y = 3z y = 3/2 z xyz = 36 3z× 3/2 z × z = 36 9z3 = 72 z = 2