Explanation:

On an areial photograph, the surface of a pond appears as a circular region of radius 7/16 inch.If a distance of 1inch on the photograph correspondence to a actual distance of 2miles.Which of the following of closest estimate of actual surface of the area of pond,in square miles? Correct Answer 2.4 As 1 inch = 2 miles, then 7/16 inches = 2*7/16 = 7/8 miles. So actual radius is 7/8 miles.  ∴ Area =  π * r^2 = 22/7 * 7/8 * 7/8 = 77/32 = ~2.4 ans: 2.4

Explanation:

What is 55% of 12/66 of 270? Correct Answer 14 Here, 270 of 12/66 of 55%=270×1266×55100=27

Explanation:

A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 3 classes were half full, 5 class were 3/4 full and 2 classes were 1/6 empty. A total of 74 students were absent. What is the total number of students in this school? Correct Answer 240 Let x = number of students in each class. Then total number of students in school. is = 10x If 3 classes are half full then we have 3x/2 students absent. If 5 classes are 3/4 full that means that (1/4)*5x students are absent. If 2 classes are 1/6 empty that means that (1/6)*2x students are absent. Now we are told that (3x/2) + (1/4)*5x + (1/6)*2x = 74 or,(3x/2) + (5x/4) + (x/3) = 74 or,18x + 15x + 4x = 888 or,7x = 280 x = 24  number of students in each class is 24 number of student in this school = 10x                                 = 10*24 = 240 ans: 240

Explanation:

A company paid tk.500000 in merit raises to employees whose performances were rated A, B, or C. Each employee rated A received twice the amount of the rated C.each employee rated B received 150% of the amount of the raise thst was paid to each employee rated C. if 50 workers were rated A,100rated B and 150 were rated C, how much was the raise paid to each employee rated B? Correct Answer Tk. 1875 let c = x; A + B + C = 500,000 Also, A = 2C ; B = 150% of C = 3/2 C Substituting the number of employees and the share which they receive as; (50 * 2 * x) + (100 * 3/2 * x) + (150 * x) = 500,000 or, 100 x + 150 x + 150 X = 500,000 or, 400 x = 500,000 or, x = 1250 so,B receives (3/2 x) = 3/2 * 1250                        = 1875 tk(ans)

Explanation:

Mr. Rahman is insured completely for Tk. 50,000 of damages to his machinery. For any damage above Tk. 50,000, the insurance company will pay Tk. 50,000 plus 20% of the rest of the damage amount. For a recent accident, Mr. Rahman was paid Tk. 56,000 by the insurance company. What was the total amount of the damage estimated? Correct Answer Tk. 80,000 Minimum damage ≡ 50000 TK Payment above minimum damage ≡ 56000 - 50000 = 6000 TK Here,  20% of the rest of the damage ≡ 6000 TK So, total or 100% of the rest of the damage ≡ 6000 x 100 / 20 = 30000 TK So, total damage amount ≡ 50000 + 30000 = 80000 TK.

Explanation:

If a² + b² = 10 and a² - b² =8, what is the value of ab? Correct Answer 1 a2  +  b2 = 10 .... ... ...  (i)a2 - b2 = 8 .... ... ... (ii) (i) + (ii) 2a2 =18 ⇒ a2 = 9⇒ a =3Again, 2b2= 2∴ b = 1∴ ab = 1×3=3 Ans 3.

Explanation:

If 1/3 of the workers in an office are smokers, what is the ratio of smokers to nonsmokers? Correct Answer 1 : 2 In every 3 person, 1 is smoker and is nonsmoker.

Explanation:

A snapshot measures 5/2 inches by 15/8 inches. It is to be enlarged so that the longer dimension will be 4 inches. What will be the length of the enlarged shorter dimension then? Correct Answer 4 : 3 5/2 = 5 × 4 / 2 × 4 = 20/8 Ratio of longer & shorter dimension = 20/8 : 15/8 = 20 : 15 = 4 : 3 length of shorter dimension 3 inches.

Explanation:

How many 1/4 's are there in 4 1/2? Correct Answer 170 4712 + 14 = 190

Explanation:

In 1980, there were , on the average 10 deaths at birth (infant mortality) per 10,000 population. By 1990 , there were 8.5 and by 2000, 7.0 Today there were 5.5 deaths at birth per 10,000 population , and it is anticipated that the downward trend will continue.Each of following , if true, would help to account for this trend EXCEPT Correct Answer Sanitary conditions have improved. same as above

Explanation:

If P :Q =3:2 , P : R= 2: 7 , then what is the value of Q : R? Correct Answer 4 : 21 Q : P = 2 : 3 = 2×2:3×2 = 4 : 6 P : R = 2 : 7 = 2×3:3×3 = 6 : 21 ∴ Q : P : R = 4 : 6 : 21 So, Q : R = 4 : 21

Explanation:

A candidate had to apper in 4 subjects --- bengali, English, Mathematics and Science. Each subject carries 75 marks. the candidate secured 60% in both bengali and English , 80% in Mathematics and 70% in science. What is the total number of marks which the candidate secured in all four subjects? Correct Answer 202.5 75 × 60% = 75 × 60/100 = 45 Again, 75 × 80% = 75 × 80/100 = 60 And, 75 × 80% = 75 × 70/100 = 52. 5 45 × 2 + 60 + 52.5 = 202.5

Explanation:

A number when divided by 105 leaves 99 as remainder . What will be the remainder if the number is divided by 21 ? Correct Answer 9 We know,  divident = quotient x divisor + remainder So,  divident = quotient x 105 + 99 Now, 105 is completely divisible by 21 yielding the quotient 5. So, we only need to divide the remainder 99 by 21 to see if any remainder remains. Now,  99 = 4 x 21 + 15.  So, 15 will be remained as a remainder if the number is divided by 21 instead of 105.

Explanation:

If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, what is the ratio between A to D ? Correct Answer 16 : 35 A : B = 2 : 3 = (2 x 8) : (3 x 8) = 16 : 24 B : C = 4 : 5 = (4 x 6) : (5 x 6) = 24 : 30 C : D = 6 : 7 = (6 x 5) : (7 x 5) = 30 : 35 So, A : B : C : D = 16 : 24 : 30 : 35 Therefore,  A : D =  16 : 35

Explanation:

If prices fall 20% , what wil be the price of an article which now costs TK. 20 ? Correct Answer TK.18 If price fall by 20%,  Price of item costing 100 TK will be 100 - 20 = 80 TK So, price of item costing 20 TK will be = 80 x 20 / 100 = 16 tK.

Explanation:

Which of the following greater than, 2/3? Correct Answer 13/21 Here, 2/3 = 0.67now we see the question, 13/21 = 0.61916/25 = 0.647/11 = 0.63610/15 = 0.67  it is not greater than 0.67 it is equal 2/35/7 = 0.71 it is greater than 2/3

Explanation:

Based on the information below, how much did a certain telephone call cost? 1. The call lasted 1 minute 27 seconds 2. The cost for the first 30 second unit is Tk. 1.80, call duration more than 30 seconds costs Tk. 0.90 per 30 second unit 3. Any call duration less than 30 seconds is rounded up to the nearest 30-second unit. Correct Answer Tk. 1.80 The call lasted for 1 minute and 27 seconds, which is a total of 87 seconds. Any call duration of less than 30 seconds is rounded up to the nearest 30-second unit, so the duration of this call will be rounded up to 90 seconds, which is 3 units of 30 seconds.The first 30-second unit costs Tk. 1.80, so the cost of the first unit is Tk. 1.80.The remaining 2 units of 30 seconds each cost Tk. 0.90 per unit, so the cost of the remaining units is Tk. 0.90 x 2 = Tk. 1.80.Therefore, the total cost of the call is Tk. 1.80 + Tk. 1.80 = Tk. 3.60.

Explanation:

A 5% monthly salary increase resulted in a salary increase of Tk. 6,000 per year for an employee. what was her monthly salary before the increase? Correct Answer Tk. 12,00 মাসিক ৫% বৃদ্ধির পর ১২ মাসে মোট বৃদ্ধি পায় ৬০০০ টাকা সুতরাং এক মাসে বৃদ্ধি পাবে ৬০০০/১২ = ৫০০ টাকাধরি তার মাসিক বেতন 'ক' টাকাশর্তমতে    ক এর ৫%=৫০০=>ক = (৫০০*১০০)/৫=> ক =১০,০০০ টাকা।সুতরাং তার পূর্বের বেতন ১০ হাজার টাকা।

Explanation:

The average (arithmetic mean ) of x and y is 40 . If z=10 , what is the average of x, y and z? Correct Answer 35 Here,  x + y = 40 x 2 = 80 x + y + z = 80 + 10 = 90 So, average of x, y & z = 90 / 3 =  30

Explanation:

What is the ratio of the students playing football in Class XI to those in Class X? Correct Answer 3 :2 Class XI এবং X এর ফুটবলারদের অনুপাত = 2718 = 3:2

Explanation:

The average age of the father and two sons is 16 years and 7 months. If the mother is 14 years and 4 months and same two sons is 12 years and 7 months. If the mother is 24 years and 4 months old , then what is the age difference between the father and the mother ? Correct Answer 11 years and 3 months ‘is’ should be replaced by ‘will be’.

Explanation:

If the average (arithmetic mean) of 5 consecutive numbers is 12 , what is the sum if the least and the greatest of the integers? Correct Answer 10 Let the consecutive integers be n, (n + 1), (n + 2), (n + 3) and (n + 4) respectively. So,  n + (n + 1) + (n + 2) + (n + 3) + (n + 4) = 12 x 5 or,  5n + 10 = 60 or,  5n = 60 - 10 or,  n = 50 / 5 = 10. So, the least number is 10 and the greatest number is (10 + 4 = 14). Their sum = 10 + 14 = 24.

Explanation:

The ratio between the length and the perimeter of a rectangular plot is 1 : 3 and the ratio between the breadth and perimeter of that plot is 1 : 6 What is the ratio between the length and area of that plot? Correct Answer 2 :1 দেওয়া আছে, L:P = 1; 3 = 2:6 and B:P = 1:6 L:B:P = 2:1:6 সুতরাং L:B = 2:1 Area 2×1 = 1

Explanation:

If x+2y=2x+y, then x-y equal to --- Correct Answer Here,  x + 2y = 2x + y or,  2x + y - x - 2y = 0 or,  x - y =  0

Explanation:

what is the value of "n" if (8-3) (8-n) = 40? Correct Answer N = 0 হলে (8 - 3)(8 - 0) = 5×8 = 40 সুতরাং সঠিক উত্তর হবে n = 0

Explanation:

In a class their are 35 boys and 63 girls . Find out the ratio of boys to girls. Correct Answer 5 : 9 35/63 = (5×7)/(9×7) = 5/9 = 5 : 9

Explanation:

What would be the ratio of x and y if 5x+9y=61 and 7x+3y=47? Correct Answer 5:4 Solving those two equations, x = 5 and y = 4.So, x:y = 5:4

Explanation:

On fixed deposits, Bank X offers an interest of 13.5% per year and Bank Y offers 14.00% per annum. Arianna kept taka one million with Bank X for a year and Tatiana kept the same amount in Bank Y also for a year? How much did Arianna lose at the end of the year in taka? Correct Answer 5,000 Lost interest = P n r = 1000000 x 1 x (14% - 13.5%) = 1000000 x 0.5 / 100 =  5000 TK

Explanation:

what is the product of all the numbers in the dial of a telephone? Correct Answer 1,58,480 demise অর্থ মৃত্যু। তার হঠাৎ মৃত্যুতে আমি intolerable অর্থাৎ অসহনীয় feel করেছিলাম।

Explanation:

Zakir plans to visit an Art gallery once in every month of 2011 except for November and December when he plans to visit three times in each of those months. A single admission costs Tk. 5.50 , a pass valid for unlimited visits in any 3-month period can be purchased for Rk 27 , and annual pass costs Tk 80. what is the least amount that Zakir can spend for his intended number of visits? Correct Answer Tk 76.50 analogous অর্থ একই রকম। lacking similarity অর্থ মিলের অভাব।

Explanation:

a salesman usually makes 25% profit on every radio he sells. During a sale, he reduces his profit margin to 20% while his sales increase by 10% what is the ratio of this new profit to his usual profit? Correct Answer 22 : 25 New sale = 110% of usual sale New profit = 20% of 110% = 22% New profit : Usual profit = 22% : 25% = 22 : 25

Explanation:

If (3m = 2n) and (6n = 7k), What is the ratio of 'm' to 'k'? Correct Answer 2 : 3 3:7

Explanation:

A farmer employed 36 labor to dig a pond in 15days, but after 10 days of work he discovered that only 50% of the work was done. How many additional labors are to be employed for completing the job in time? Correct Answer 25 36 labors dig in 10 days 1/2 portion So, 36 labors dig in 1 day = 1/(2*10) portion So, 1 labor dig in 1 day = 1/(20*36) = 1/720 portion After 10 days, Remaining work(50%) = 1/2 portion and days left = 5 days 1/720 portion work done in 1 day by 1 labor 1/2 portion work done in 1 day by (720*1)/(2*1) labor 1/2 portion work done in 5 days by 720/(2*5) = 72 labors Hence, additional labors needed to be employed is = (72 - 36) = 36 Answer:36

Explanation:

If x +2y > 8 , then 2x +4y is Correct Answer Greater than 20 If x= 3 and y=3 then 2x+3y= 2×3+3×3=15  And it does not support any of the conditions Stated above.

Explanation:

Two people were hired to plough a field for a total of Tk. 498 . They completed the job with one person working for 1.75 hours and the other working for 0.875 hours. If they split the Tk. 498 in proportion to the amount of time each spent working on the job, how much will person who worked longer receive? Correct Answer Tk. 332 Payment ratio = 1.75 : 0.875 So, person who worked longer will receive = 1.75 / (1.75 + 0.875) x 498 = 332 TK

Explanation:

stand next to the lamppost and face west ,walk 20 yards and then turn 90 degrees clockwise. Walk another 10 yards and then turn 45 degrees anticlockwise. Walk another 15 yards, reverse you direction and walk 5 yards back. Turn 135 degrees clockwise and walk another 10 yards . In which direction are you now facing? Correct Answer West After walking 20 yards to the west and turning 90 degrees clockwise, you would have walked 10 yards to the north. Then after turning 45 degrees anticlockwise and walking 15 yards, you would have moved northeast.When you reverse direction and walk 5 yards back, you will be moving southwest.After turning 135 degrees clockwise and walking another 10 yards, you will be moving southeast.So, you are now facing southeast.

Explanation:

Of the 50 students in a college , 32 are enrolled in psychology class and 37 are enrolled in logic. If 6 of the students did not enroll in either class, how many of the students are in only one of these two classes? Correct Answer 21 Students who enrolled in atleast one of the classes = 50 - 6 = 44 Students who enrolled in both of the classes = 32 + 37 - 44 = 25 Students who enrolled only in psychology = 32 - 25 = 7 Students who enrolled only in logic = 37 - 25 = 12 Total number of students who enrolled only in one class = 7 + 12 =  19

Explanation:

Equal amounts of water were poured into two empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with the lesser capacity is then poured into the jar with the greater capacity, what fraction of the larger jar will be filled with water? Correct Answer 1/3 Evidently, 1/3 full jar is of the lesser capacity as 1/3 is greater than 1/4. As equal amount of water was poured into each jar, pouring water from the jar of lesser capacity to the larger jar will make the amount of water in the larger jar to get doubled. Therefore, the fraction of larger jar filled with water will be = 2 x 1/4 = 1/2

Explanation:

The average daily income of Mr. A and Mr. B is Tk. 350 , of Mr. B and Mr. C is Tk. 365 and of Mr. A and Mr. c is tk. 340 . what is the weekly income of Mr. A if he works 5 days in a week? Correct Answer Tk. 1,875 Let their daily incomes be A, B and C respectively. Now, A + B = 2 x 350 or,  A + B = 700 - - - - - - - - (i) Again,  B + C = 2 x 365 or,  B + C = 730 - - - - - - - - - - (ii) Again,  A + C = 2 x 340 or,  A + C = 680 - - - - - - - - - - (iii) {(i) + (ii) + (iii)}>>>   A + B + B + C + A + C = 700 + 730 + 680 or,  2(A + B + C) = 2110 or,   A + B + C = 1055 or,  A + 730 = 1055 or,  A = 1055 - 730 or,  A = 325 TK So, the weekly income of A = 5 x 325 = 1625 TK

Explanation:

To produce an old photograph, a photographer charges x dollars to make a negative, 3x/5 dollars for each of the first 10 prints, and x/5 dollars for each print in excess of 10 prints. If 45 dollars is the total charge to make a negative and 20 prints from an old photograph, how many dollars the photographer charges to make a negative? Correct Answer 3 According to the question, x + 10 × (3x/5) + (20 - 10) × x/5 = 45 or, x + 6x + 2x = 45 or, 9x = 45 or, x = 45/9 = $5

Explanation:

If the product of four consecutive integers is equal to one of them , what is the largest possible value of one of the integers? Correct Answer Let the first integer is xThen the other 3 integers are x+1, x+2 ,x+3  So the equation,  x(x+1)(x+2)=(x+3) So, (x2 +1)(x+2)=(x+3)‌x3+3x2 +x-3=0x= 0.76 or -1.884  So largest value 0.76

Explanation:

The temperature in a home freezer varies from 25 degree F to 3 degree F. What is the difference, in Celsius, between these two temperatures? Correct Answer 28 Difference in temperature is always the same in every temperature unit. Here, the temperature difference is (25 - 3) = 22°F. Therefore, in Celsius scale it will be 22°C.

Explanation:

A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times, each junior's name, 2 times, and each sophomore's, 1 time. What is the probability that a senior's name will be chosen? Correct Answer 3/8 Total number of seniors' names = 3 x 100 = 300 Total number of juniors' names = 2 x 150 = 300 Total number of sophomores' names = 200 Total student names for lottery = 300 + 300 + 200 = 800 Probability of a senior's name to be chosen = 300 / 800 = 3/8