Explanation:

The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y? Correct Answer 20 Hints: (2 + 7 + 6 + x) / 4 = 5 15 + x = 20 x = 20 - 15 x = 5 and, (18 + 1 + 6 + x + y)/5 = 10 18 + 1 + 6 + 5 + y = 50 y = 20

Explanation:

The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are : Correct Answer 18, 24, 42 Hints: Let the number be x So, the three numbers will be 3x, 4x, and 7x Now, 3x × 4x × 7x = 18144 84x3 = 18144 x3 = 216 x3 = 63 x = 6 Hence, the numbers are 18, 24, 42

Explanation:

A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work? Correct Answer 6 days Hints: A and B in 1 day together work ( 1/10 + 1/15) portion = (3 + 2)/30 = 5/30 = 1/6 Together they finish in 6 days.

Explanation:

P and Q started a business investing Tk. 85,000 and Tk. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively? Correct Answer None of these Hints: required ratio = 85000 : 15000 = 85 : 15 = 17 : 3

Explanation:

A two-digit number becomes five-sixth of itself when its digits are reversed. Two digits differ by one. The number is : Correct Answer 54 Hints: When the digits are reversed, the number become 5/6 th of itself, lesser. So the units place digit is smaller. Let, units place digit is x, so 10th place is x + 1, as the two digits differ by 1. 5/6 { 10(x + 1) + x} = 10x + x + 1 5 (11x + 10) = 6(11x + 1) 55x + 50 = 66x + 6 11x = 44 x = 4 The number is = 10(4 + 1) = 10×5 + 4 = 54

Explanation:

Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many will the tank be filled? Correct Answer 3 Hints: Pipe A, B, and C can fill the tank in 1 hour ( 1/5 + 1/10 + 1/30) portion = (12 + 6 + 2)/6o portion = 20/60 portion = 1/3 portion All three pipes will fill the tank in 3 hours.

Explanation:

An athlete runs 200 metres race in 24 seconds. His speed is : Correct Answer 30 km/hr Hints: His speed = 200/24 metre per second = (200/24) × 18/5 km/hr = 30 km/hr

Explanation:

How long does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length? Correct Answer 12.1 sec Hints: To convert km/hr into m/s, multiply with 5/18 So, 72km/hr = (72×5)/ 18 m/s = 20 m/s Time required to cross the bridge = (110 + 132)/20 seconds = 12.1 seconds

Explanation:

How many pieces of 85 cm length can be cut from a rod 42.5 meters long? Correct Answer None of these 42.5 meters = 4250cm টুকরার সংখ্যা = 4250/85 টি = 50 টি

Explanation:

The profit earned by selling an article for Tk. 832 is equal to the loss incurred when the same article is sold for Tk. 448. What should be the sale price for making 50% profit? Correct Answer Tk. 960 Hints: Let, cost price be TK x Then, (832 - x) /x ×100 = (x - 448)/x ×100 832 - x = x - 448 2x = 1280 x = 640 Profit = 50% of TK 640 = Tk.( 50/100)×640 = TK 320 So, the required sales price is (640 + 320) Tk. = Tk. 960

Explanation:

The least number which is a perfect square and is divisible by each of the numbers 16.20 and 24, is : Correct Answer 3600 16, 20 ও 24 এর ল, সা, গু = 240 240 = (2×2) ×(2×2) ×(3×5) এখানে, 3 ও 5 জোড়াবিহীন । সুতরাং 240 কে 15 দ্বারা গুন করলে সংখ্যটি পূর্ণবর্গ হবে। সংখ্যাটি = 240×15 = 3600

Explanation:

The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Tk. 800 per sq. metre. Correct Answer Tk. 16,500 Hints: Length = 5.5m and width = 3.75 m Area = 5.5×3.75 sq.m = 20.625 sq.m Cost of paying = 800×20.625 = 16500 Tk.

Explanation:

What decimal of an hour is a second? Correct Answer 0.00027 1 second 1 hour এর 1/3600 অংশ = 0.000277

Explanation:

At what rate of compound interest per annum will a sum of Tk. 1200 become Tk. 1348.32 in 2 years? Correct Answer 6% Hints : Let , Rate will be R% Compound Interest formula C = P (1 + r)n 1348.32 = 1200 (1 + r) 2 1348.32/1200 = (1 + r)2 R = 6%

Explanation:

In a 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by : Correct Answer 20 m Hints: Distance covered by B in 9 sec = (100/45)×9 m = 20 m A beats B by 20 metres

Explanation:

৩০ থেকে ৮০ এর মধ্যবর্তী বৃহত্তম ও ক্ষুদ্রতম মৌলিক সংখ্যার ব্যবধান কত? সঠিক উত্তর ৪৮ 30 থেকে 80 এর মধ্যে বৃহত্তম মৌলিক সংখ্যা 79 30 থেকে 80 এর মধ্যে ক্ষুদ্রতম মৌলিক সংখ্যা 31 ব্যবধান = 79 - 31 = 48

Explanation:

কোন সংখ্যা হতে ১৭৫ বিয়োগ করে ১৩০ যোগ করলে যোগফল ২৯৭ হবে? সঠিক উত্তর ৩৪২ x - 175 + 130 = 297 = > x - 45 = 297 = > x = 297 + 45 ∴ x = 342

Explanation:

এক গ্যালন = কত লিটার? সঠিক উত্তর ৪.৫৫ 1824 সালে ইউকে - তে ইম্পিরিয়াল গ্যালনের সংজ্ঞা দেওয়া হয় নির্দিষ্ট বায়ুমণ্ডলীয় পরিবেশে একটি বিশেষ পদ্ধতিতে ওজন করে 10 lb (পাউন্ড) বিশুদ্ধ জলের আয়তনের সমতুল্য হিসেবে। 1963 সালের ওজন এবং পরিমাপ আইনে মূল বর্ণনাটিকে পরিমার্জিত করা হয় এই যে 0.998859 g/ml (গ্রাম প্রতি মিলি) ঘনত্বের 10 পাউন্ড (4.5 কেজি) বিশুদ্ধ জল 0.001217 g/ml (গ্রাম প্রতি মিলি) ঘনত্বের বায়ুতে এবং 8.136 g/ml (গ্রাম প্রতি মিলি) ঘনত্বের ওজনের বিপক্ষে ওজন করলে, তা যে স্থান অধিকার করে থাকে তার সমান আয়তন।

Explanation:

Reena took a loan of Tk. 1200 with simple interest for as many years as the rate of interest. If she paid Tk. 432 as interest at the end of the loan period, what was the rate of interest? Correct Answer 6 Hints : Let, rate = R% and time = R years Then, ( 1200×R×R)/100 = 432 [ I = pnr] 12R2 = 432 R2 = 36 R = 6

Explanation:

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? Correct Answer Tk. 40 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

Explanation:

In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water (in km/hr) is : Correct Answer 8 Hints : Speed in still water = 1/2 (11 + 5) km/hr = 8 km/hr

Explanation:

কোনো আসল ২০ বছরে সুদে-মূলে দ্বিগুণ হলে কত বছরে সুদে-মূলে তিনগুণ হবে -- সঠিক উত্তর ৪০ বছরে ধরি, আসল = ১০০  সুদে - মূলে দ্বিগুণ = ১০০×২                           = ২০০  সুদ = ২০০ - ১০০ = ১০০ আমরা জানি,   হার = (১০০×সুদ)/(আসল × সময়)         = (১০০×১০০)/(১০০×২০)         = ৫% সুদে - মূলে তিনগুণ = ১০০×৩ = ৩০০ সুদ = ৩০০ - ১০০ = ২০০  আমরা জানি,    সময় = (১০০ × সুদ)/(আসল × হার)             = (১০০ × ১০০)/(১০০ × ৫)             = ৪০ বছর

Explanation:

By how much is three-fifth of 350 greater than four-seventh of 210? Correct Answer None of these Hints: 3/5 of 350 - 4/7 of 210 = 210 - 120 = 90

Explanation:

Find the largest number of four digits exactly divisible by 12, 15, 18 and 27. Correct Answer 9720 Hints: L.C.M. of 12, 15, 18, 27 = 540 largest 4 digit number = 9999 So, 9999/540, We get 279 as remainder so the largest 4 digit exactly diviisible by 12, 15, 18, 27 = 9999 - 279 = 9720.

Explanation:

50 is divided into two parts such that the sum of their reciprocals is 1/12. Find the two parts. Correct Answer 30 and 20 Hints: Look at the answer, only A has 30 and 20, 30 + 20 = 50, which is the answer. Alternatively, let the two parts be x, y ; so x + y = 50 1/x + 1/y = 1/12 (y + x)/xy = 1/12 50 /xy = 1/12 xy = 600 x( 50 - x) = 600 50x - x2 = 600 x2 - 50x + 600 = 0 (x - 30) (x - 20) = 0 x = 30, 20

Explanation:

If 35% of a number is 175, then what percent of 175 is that number? Correct Answer None of these Hints: Let the number be x 35% of x = 175 (35/100) × x = 175 x = 500 Let, y% of 175 = 500 ( y/100) ×175 = 500 y = 285.714286 So, 285%

Explanation:

When 0.232323-----is converted into a fraction, then the results is : Correct Answer 23/99 Hints: 232323.. = . 23 পৌনঃপুনিক = 23 /99 যে কয়টা সংখ্যার মাথায় পৌনঃপুনিক থাকে সে কয়টা 9 দ্বারা ভাগ হয়। এখানে ২ টা সংখ্যর মাথায় পৌনঃপুনিক তাই ২ টা 99 দ্বারা ভাগ।

Explanation:

An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percent at original price. Correct Answer 35% Hints: Original selling price be x, new S.P = 2/3 of x = 2x/3 Here, Loss = 10% CP = 100/(100 - loss) × SP = 100/(100 - 10) × 2x/ 3 = 100/90 × 2x/3 = 20x/27 Gain = x - (20x/27) = 7x/27 Gain % = (7x/27) / (20x/27) × 100% = 35%

Explanation:

Six years ago, Rahim was P times as old as Kalam was. If Rahim is now 17 years old, how old is Kalam now in terms of P? Correct Answer 11/P+6 Let, kalams present age be x then, 17 - 6 = P(x - 6) 11 = P(x - 6) 11/p = x - 6 x = 11/p + 6

Explanation:

What percentage of numbers from 1 to 80 has 0 or 5 in the unit's digit? Correct Answer 20% There are numbers from 1 to 80 those have 0 or 5 in the units digit out of 80 numbers. So, the percentage = 16/80 ×100% = 20%

Explanation:

If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent less than xz? Correct Answer 37% w is 10% less than x i.e 90% of x = . 90x similarly y = . 70z wy = . 90x ×. 70z = . 63xz ( 100 - 63) = 37% less

Explanation:

A company generated revenue of Tk. 125,000 in 2012 which was 12.5% of its gross revenue. In 2013, the gross revenue increased by Tk. 250,000. What is the percentage increase in the revenue in 2013? Correct Answer 25% 12% of gross rev = 125000 .125 × gross rev. = 125000 gross rev = 125000/.125 = 1000000 In 2013, gross rev = 1000000 + 250000 = 1250000 12.5% of 1250000 = 156250 % increase in rev. = ( 156250 - 1250000)/125000 ×100% = 25%

Explanation:

P starts jogging from point X to point Y. 30 minutes later his friend R who jogs 1 km/hour slower than twice P's rate starts from the same point and follows the same path. If R overtakes P in 2 hours, how many kilometres will R have covered? Correct Answer 3.33 km Let, s Ps rate = v per hour R, s rate = ( 2v - 1) P walks total = ( 2 + 1/2) hour R walks total = 2 hour P, s distance = R's distance v ×( 2 + 1/2) = 2 ( 2v - 1) = 4v - 2 v ×5/2 = 4v - 2 3v/2 = 2 v = 4/3 and R's distance = 4 ×4/3 - 3 = 3.33

Explanation:

A total of Tk. 1200 is deposited in two savings accounts for one year, one portion at 5% simple interest, and the rest at 7% simple interest. If Tk. 72 was earned in interest, how much was deposited at 5%? Correct Answer 600 Let, Tk was deposited at 5% so, (1200 - x) was at 7% Total interest = 72 = . 5 × x + ( 1200 - x) ×. 07 = . 05x + 84 - . 07x x (. 05 - . 07) = 72 - 84 x × ( - .02) = - 12 x = 12/.02 = 600

Explanation:

The combined salary of X , Y and Z is Tk. 90,000. X earns twice of what z earns, and Y earns 1.5 times of what is the lowest salary of the three? Correct Answer 20,000 Lets amount = z tk 2z + 1.5z + z = 90000 4.5z = 90000 z = 20000