Explanation:

A recipe for 4 servings requires salt and pepper to be added in the ratio of 2: 3 . If the recipe is adjusted to make 8 servings, what is the ratio of the salt and pepper that must now be added? Correct Answer 2 : 3 Here, the number of servings just got doubled. But the ingredients of the recipe are unchanged. Therefore, salt and pepper will need to be added in the same ratio.

Explanation:

What is the value of a -9, if 36/a=4? Correct Answer 9 36/a = 4 4a = 36 a = 9 now, a-9 = 9-9=0

Explanation:

কোন ব্যবসায় ক, খ, ঘ এর মূলধন যথাক্রমে ৩২০, ৪০০ এবং ৪৮০ টাকা। তাদের মূলধনের অনুপাত কত? সঠিক উত্তর ৪ : ৫ : ৬ ৩২০ : ৪০০ : ৪৮০ = ৩২ : ৪০ : ৪৮ [ ১০০ দ্বারা ভাগ ] = ১৬ : ২০ : ২৪ [ ২ দ্বারা ভাগ ] = ৪ : ৫ : ৬ [ ৪ দ্বারা ভাগ ]

Explanation:

A nurse has to record temperature of patients in Celsius but her thermometer reads Fahrenheit. A patient's temperature is 100.7০ F. What is the temperature in ০C? Correct Answer 32 ০C Given, A patient's temperature is 100.7০ F. So, in Celsius scale the temperature will be = (100.7°F − 32) × 5/9 = 38.167°C

Explanation:

A circular wheel 28 inches in diameter rotates (moves) the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minute does the larger wheel make in terms of x? Correct Answer 48x Let the revolutions made by larger wheel per minute be R. Circumference of smaller wheel, 2 π r = 2 x π x (28/2) = 28π Circumference of larger wheel, 2 π r = 2 x π x (35/2) = 35π  Speed of smaller wheel per minute = 60x Distance covered by larger wheel per minute = Distance covered by smaller wheel per minute or, R x 35π  = 28π x 60x or, R =  28π x 60x / 35π = 48x

Explanation:

In the last week of a month, a car dealer sold 12 cars. A new sales promotion came out in the first week of the next month and he sold 19 cars during that week. What was the percent increase in sales from the last week of the previous month to the first week of the next month? Correct Answer 58% Percentage increase in sales = (19 - 12) / 12 x 100% = 58.33%

Explanation:

The electric company charges Tk. 0.30 per kilowatt-hour (KWH). Rahim used 2800 KWH in April, 3200 KWH in May, and 3600 KWH in June. What was his average cost of electricity for the 3 months? Correct Answer Tk. 72 Average usage = (2800 + 3200 + 3600) / 3 = 9600 / 3 = 3200 kwh So, average cost = 3200 x 0.3 = 960 TK

Explanation:

A 240-meter long train crosses a pole in a platform in 8 seconds . Determine the speed of the train in km/hr. Correct Answer 120 Velocity = Distance / time = 240 m / 8 sec = 30 m/s Now, 1 m/s = 1/1000 km/s = (1/1000) x 60 x 60 km/h = 3.6 km/h So,  30 m/s = 30 x 3.6 km/h =  108 km/h

Explanation:

In what ratio must a grocer mix two varieties of tea worth Tk.60 per kg and Tk.80 per kg that by selling the mixture at Tk.68.20per kg he may gain 10%? Correct Answer 3:2 ***The question is erroneous... Let the mixture be made up of x kg tea of worth TK 60 per kg and y kg tea of worth TK. 80 per kg. Total cost price = 60x + 80y Total selling price = 68.2(x + y) Now, {68.2(x + y) - (60x + 80y)} / (60x + 80y) = 10/100 or,  (68.2x + 68.2y - 60x - 80y) / (60x + 80y) = 1/10 or,  (8.2x - 11.8y) / (60x + 80y) = 1/10 or,  82x - 118y = 60x + 80y or,  82x - 60x = 80y + 118y or,  22x = 198y or,  x / y = 198 / 22 or, x / y = 9 / 1 So, x : y = 9 : 1

Explanation:

How many numbers from 1 to 200 inclusive are equal to the cube of an integer? Correct Answer 1 13 = 1 23 = 8 33 = 27 43 = 64 53 = 125 So, there are 5 integers

Explanation:

In a library , of the books standing in a row on a shelf ,an atlas is the 30th book from the left and the 33rd book from the right . If 2 books will be left of the atlas and 4 books to the right of the atlas are removed from the shelf , how many books will be left on the shelf? Correct Answer 56 Total books = 30 + 33 = 63 Left books = 63 - 2 - 4 - 1 = 56

Explanation:

At a particular moment, if the angle between the hour hand and the minute hand of a clock is 105 degree, what was the time by the lock at that time? Correct Answer 6 : 20 The angle = |( 11×M) - (60×H) /2 | = | (11×20) - (60×6)/2| 0 = 700 Similary option b = 400, option c = 7.50

Explanation:

The solid brick shown is made of small square shaped bricks of side 1. when the large brick is disassembled into its component small bricks. the total surface area of all the small bricks is how much greater than the surface area of the large brick? Correct Answer 32 Let, the length of square shaped large brick is a. So the surface area of the large brick = 6a2 From fiquer, the component of small brick = 6 × 6 = 36 So the length of small brick is a/6 The surface area of the small brick = 6×(a/2)2 = a2/6 the total surface area of small brick = 36×a2/6 = 6a2 no correct answer inoption

Explanation:

Two outlets of a motor manufacturing company reported that revenue from outlet x in 2013 was down 11 percent from 2012. and revenue from outlet Y in 2013 were up 7 percent from 2012. If total revenue from outlet X & Y in 2013 was up 1 percent from 2012, what is the ratio of revenue from outlet X in 2012 revenue from outlet Y in 2012? Correct Answer 1 : 2 Total out lets of X in 2012 = 11 - 1 = 10 and total out lets of Y in 2012 = 7 + 1 = 8 the ratio between two outlet , X : Y = 10 : 8 = 5 : 4

Explanation:

The area of a field is 680 square feet . If the cost of fencing is Tk 50 per foot , then how much will it cost to fence the field? Correct Answer Tk 8800 Let, length = 68 m and width = 10m So, area = 10×68 = 680 Cost of fencing = ( 10×2×50) + ( 68×2×50) = Tk.7800 ( correct answer)

Explanation:

There are tow examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same . If 20 candidates are sent from B to A, then the number of students in a is double the number of students in B. what is the number of students in room A? Correct Answer 100 Let, the no of students in room A and B be x and y Then, x - 10 = y + 10 and, x + 20 = 2 ( y - 20) Solving, x = 100, y = 80

Explanation:

Rafia ran from her house to schoolat an average speed of 6 miles per hour and returned along the same route at an average speed of 4 miles per hour . If it took her one hour in total to run to the school and come back, how many minutes did it take her to run from her house to school? Correct Answer 16 Let, Distance = D we know that , T = D/s Here, T = time, D = ddistance, S = speed According to question, D/6 + D/4 = 1 (2D + 3D) /12 = 1 D = 12/5 6 mile go 1 hours or 60 minutes 1 mile go 60/6 minutes 12/5 mile go ( 60×12)/ ( 6×5) = 24 minutes ( correct answer)

Explanation:

A school has raised 75% of the amount it needs for a new building by receiving an average donation of Tk 60 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations If the college is to raise exactly the amount needed for the new building , how much must the remaining people donate per person? . Correct Answer Tk 30 Let Total people = 100 60% people of total people = 60 They donate amount = 60×60 = 3600 Remaining people = 100 - 60 = 40 And remaining amount = ( 3600×100) 75 - 3600 = 4800 - 3600 = 1200 They donate per person = 1200/40 = 30Tk.

Explanation:

At 10 a.m. two trains started travelling toward each other from stations 287 miles apart. They passed each other at 1:30 pm the same day. They average speed of the faster train exceeded the average speed of the slower train by 6 miles per hour. which of the following represents the speed of the faster train, in miles per hour? Correct Answer 44 Let the average speed of slower and faster trains be S and (S + 6) miles/hr respectively. Time taken = 10 am to 1:30 pm = 3.5 hr Distance travelled by slower train = 3.5S Distance travelled by faster train = 3.5(S + 6) Now,  3.5S + 3.5(S + 6) = 287 or, 3.5S + 3.5S + 21 = 287 or, 7S = 287 - 21 or, 7S = 266 or, S = 266/7 = 38 miles/hr So, speed of the faster train, S + 6 = 38 + 6 =  44 miles/hr

Explanation:

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . If the ages of these two are excluded, the average , the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the whole team? Correct Answer 23 years Let the average age of the whole team by x years 11x - ( 26 + 29) = 9 ( x - 1) 2x = 46 x = 23

Explanation:

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 kilometers (km) away from A at the same time. On the way, however, the train had lost about 12.5 minutes while stopping at the station. what is the speed the car? Correct Answer 120 km/hr Let the speed of the car and train be C and 1.5C in km/hr respectively. 12.5 min = 12.5/60 hr Now,  75/C - 75/1.5C = 12.5/60  [time difference] or, (75×1.5 - 75) / 1.5C = 12.5/60 or, C = (75×1.5 - 75)×60 / (1.5×12.5) or, C = 120 km/hr

Explanation:

If the value of ZYZ company stock drops from Tk. 25 per share to Tk. 21 per share , what is the percent of the decrease? Correct Answer 4% the value of XYZ Company stock drops from tk. 25 per share to tk. 21 per share = 25 - 21 = 4 tkThe percentage decrease = Change*100/base year value = 4*100/25 = 16% (ans)

Explanation:

A box contains 48 balls some red and some black. Each of the followings could be the ratio of red to black balls except --- Correct Answer 4:3 48 can not be divided by (4 + 3 = 7). So, the balls can not be divided into 4:3 ratio.

Explanation:

In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5,9 and 13 (factors of 585) and got the remainders, 4,8, 12 respectively.If he had divided the number by 585, what would have been the remainders? Correct Answer 16 Let the number be x. x is successively divided by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. Difference of all the divisors and remainders respectively is 1. Divisor−Remainder = 1 5−4 = 1 9−8 = 1 13−12 = 1 Therefore; 585−Remainder = 1 Remainder = 585−1 = 584 (ans) Remainder = 585−1 = 584">

Explanation:

If a and b are integers greater than 100 such that a+b =300 , which of the following could be the exact ratio of a to b? Correct Answer 9 to 1 এটি করার জন্য Answer দেখে মিলাতে হবে। ধরি E option সঠিক ⇒3x + 2x = 300 ⇒5x = 300 ⇒x = 60 ⸫ a = 3x = 180, b = 2x = 120 দুটিই 100 থেকে বড়। অন্যগুলোর ক্ষেত্রে একটি 100 থেকে ছোট হয়।

Explanation:

Seats for Mathematics, Physics and Biology in a university are in the ratio 5: 7: 8, There is a proposal to increase these seats by 40% , 50% and 75% respectively. what will be ratio of increased seats? Correct Answer 2: 3: 4 Let, the number of seats for Math, physics, and biology, be 5x, 7x and 8x respectively Number of increased seats are ( 140% of 5x). (150% of 7x) ( 175% of 8x) = (140/100×5x) , ( 150/100×7x), ( 175/100×8x) 7x, 21x/2, 14x The required ratio = 7x : 21x/2 : 14x = 14x : 21x : 28x = 2 : 3 : 4

Explanation:

The capacity of computer memory is increasing exponentially . At the same time increased capacity is becoming available at cheaper rate. Two years ago 1GB RAM cost TK. 5,000. Now 4GB Ram is available at the same price. If this trend continues what capacity of RAM will you get for TK. 5,000 after 3 years time ? Correct Answer 32GB The capacity in every 2 years becomes 4 times  So, the capacity in every year becomes 2 times. The capacity after 3 years will be = 4×2×2×2 = 32GB

Explanation:

Tom, Dick and Harry went for lunch to a restaurant. Tom had Tk. 100 with him. Dick had Tk. 60 and Harry had Tk . 40. They got a bill for Tk. 104 and decided to give a tip of Tk. 16 . They further decided to share the total expenses in the ratio of the amounts of money each carried . They amount of money which Tompaid more than what Harry paid is Tk.--- Correct Answer 36 Total pay = 104 + 16 = 120 TK Now,  Tom : Dick : Harry = 100 : 60 : 40 = 5 : 3 : 2 So, Tom paid = 5 / (5 + 3 + 2) × 120 = 60 TK Harry paid = 2 / (5 + 3 + 2) × 120 = 24 TK Tom more paid than Harry = 60 - 24 = 36 TK

Explanation:

A machine P can print out one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M.While machine P is stopped at 11 A.M. and remaining two machines completed the work. Approximately at what at what time will the work time (to print one lakh books) be finished? Correct Answer 11.30 Am Machine P in 1 hour can print 1/8 of te books Machine Q in 1 hour can print 1/10 of te books Machine R in 1 hour can print 1/12 of te books Together in 1 hour they can print = 1/8 + 1/10 + 1/12 = (15 + 12 + 10)/120 = 37/120 of the books They worked altogether from 9am to 11am = 2 hours So, together they printed = 37/120×2 = 37/60 of the books Remaining books to be printed = 1 - 37/60 = 23/60 of the books Now, machine Q and R together can print (1/10 + 1/12 = ) 11/60 of the books in 1 hour So, they can print 23/60 of the books in 1×(23/60)×(60/11) = 2.09 hours = 125 min So, printing will be finished at 9am + 125min = 11:05am approximately.

Explanation:

Due to the recession, a show room reported that revenue from luxury car sales were down by 11% and revenue from economy car sales were up by 7% . If the total revenue were up by 1% then what is the ratio of revenue from luxury car sales to revenue from economy car sales ? Correct Answer 1:2 Let the usual revenues be L and E respectively. So, total usual revenue is (L + E). New revenue from luxury car sales = L - 11% of L = L - 0.11L = 0.89L New revenue from economy car sales = E - 7% of E = E - 0.07E = 1.07E New total revenue = 0.89L + 1.07E ATQ,   {(0.89L + 1.07E) - (L + E)} / (L + E) = 1/100 or,  100(0.89L + 1.07E - L - E) = L + E or,  100(0.07E - 0.11L) = L + E or,  7E - 11L = L + E or.  11L + L = 7E - E or,  12L = 6E or,  L/E = 6/12 = 1/2 or,  L : E = 1 : 2

Explanation:

During a sale, the price of a pair of shoes is marked down by 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent increase (to the nearest whole number) form the discounted sale price to the regular price for the shoes? Correct Answer 11% Let the regular price be m. Discounted price = m - 10% of m = 0.9m Price increase = (m - 0.9m) / (0.9m) × 100% ≈ 11%

Explanation:

The instruction state that Sumi may need 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 8/18 square yards left that she did not use. What is the total amount of square yards of material Sumi used? Correct Answer 2/3 Total material used = 4/9 + 2/3 - 8/18 = 4/9 + 2/3 - 4/9 = 2/3 yards

Explanation:

At the beginning of a class period, half of the students in a class go to the library. Later in the period, half of the remaining students go to the computer lab. If there are 5 students remaining in the class, how many students were originally in the class? Correct Answer 32 ধরি, Class এ মোট 4x student ছিল। প্রথমবার 12 চলে যাবার পর থাকে 2x, দ্বিতীয়বার থাকে x.x = 8; ∴4x = 4×8 = 32

Explanation:

২.৫ মিটার বর্গাকার একটি খোলা চৌবাচ্চায় ২৮,৯০০ লিটার পানি ধরে। এর ভিতরে এলুমিনিয়ামের পাত লাগাতে প্রতি বর্গমিটারে ৫ টাকা হিসাবে মোট কত খরচ পড়বে? সঠিক উত্তর ২২৯.৬০ টাকা ব্যাখাঃ ধরি, চৌবাচ্চাটির গভীরতা ক লিটার চৌবাচ্চাটির আয়তন = ২.৫×২.৫×ক ঘনমিটার ১০০০ লিটার = ১ ঘনমিটার ২৮৯০০ লিটার = ২৮. ৯ ঘনমিটার (২.৫)২× ক = ২৮.৯ ক = ৪.৬২৪ মিটার চৌবাচ্চাটির তলা ও ৪ টি পৃষ্ঠের ক্ষেত্রফল = (২.৫)২ + ৪×৪.৬২৪×২.৫ = ৫২.৪৯ বর্গমিটার মোট খরচ = ৫২.৪৯×৫ = ২৬২.৪৫ টাকা

Explanation:

Babu hired a labor to clean his garden for TK. 35.50. He was very happy with the cleaning and paid the labor bonus in addition to the original agreed TK. 35.50. If the bonus was more than 10 percent but less than 15 percent of the contract amount, then the total amount paid must have been between TK. Correct Answer 39 & 41 Total amount paid if bonus was 10% = 35.50 + 10% of 35.50 = 35.50 + 3.55 = 39.05 TK Total amount paid if bonus was 15% = 35.50 + 15% of 35.50 = 35.50 + 5.325 = 40.825 TK So, the total amount paid must have been in between 39 TK & 41 TK.

Explanation:

a+b=9m এবং ab=18m হলে, a-b=? সঠিক উত্তর 3m ব্যাখাঃ ( a - b)2 = ( a + b) 2 - 4ab = (9m)2 - 4×18m = 81m2 - 72m a - b = + - 3m

Explanation:

If the market price of a unit is Tk 25, the revenue of selling five units in Taka is -- Correct Answer 125 Here, revenue is equal to selling price. So,If 1 Unit selling price/revenue is 25tk. So, 5 " " " = 25x5 = 125 tk

Explanation:

Bina is 10 years older than Mim . In 7 years time. Bina will be twice as old as Mim. Correct Answer 25 Let,Mim's present age = x and Bina's present age = x + 10 According to question, x + 10 + 7 = (x + 7)x2 So, x = 3 So, Bina's Present age = 3 + 10 = 13

Explanation:

In a shipment of computers, 1% of the computers are defective. What is the ratio of defective to non-defective computers? Correct Answer 1 : 99 Defective=1%non-defective=99%defective : non-defective = 1 : 99

Explanation:

The electric company charges Tk. 0.30 per kilowatt-hour (KWH). Rahim used 2800 KWH in April, 3200 KWH in May, and 3600 in June. What was his average cost of electricity for the 3 months? Correct Answer Tk. 72 Total Electricity cost for the three months= 2800*0.30+3200*0.30+3600*0.30=2880tkAverage cost of electricity for the three months=2880/3=960tkso the answer is none of these from the options