Explanation:

Every 3 minutes, 4 liters of water are poured into a 2,000, liter tank. After 2 hours, what percent of the tank is full? Correct Answer 8% Hints: প্রতি 3 mim ও একবার ঢালা হলে, 2 hours এ ঢালা হবে 2 × 60 /3 = 40 বার 40 বার 4 litter করে মোট পানি ঢালা হয় 40 × 4 litter Tank full = 4 × 40 / 2000 × 100% = 8%

Explanation:

If 1/y= 31/2 , then 1/y+2 =? Correct Answer 7/16 1/y = 7/2 so, y = 2/7 Then, 1/(y + 2) = 1/(2/7 + 2) = 7/(2 + 14) = 7/16

Explanation:

if y/x = 1/3 and x + 2y =10, then x is- Correct Answer 6 Hints: y/x = 1/3 3y = x এবং, 3y + 2y = 10 5y = 10 y = 2 x = 3y = 3 × 2 = 6

Explanation:

Ten years ago, A was half of B in age. If the ratio of their present age is 3 : 4, what will be the total of their present ages? Correct Answer None of these Hints: ধরি বর্তমানে তাদের বয়স 3x ও 4x প্রশ্নমতে, (3x - 10) = 1/2 (4x - 10) 6x - 20 = 4x - 10 2x = 10 x = 5 Total age = 3x + 4x = 7x = 7 × 5 = 35 সঠিক উত্তর নাই

Explanation:

A train took 6 minutes to travel between two stations 4 miles apart. What was the speed of the train in miles per hour? Correct Answer 40 In 6 min train goes 4 miles In 60 min train goes (4 *60)/6 = 40 miles

Explanation:

A sum of Tk. 12,500 amounts to Tk. 15,500 in 4 years at the rate of simple interest. What is the rate of interest? Correct Answer 6% Hints: Simple interest, I = Pnr (15500 - 12500) = 12500 × 4 × r r = 3/50 rate = 3/50 × 100% = 6 %

Explanation:

For (a+b) =7 and ab = 12, (a-b) =? Correct Answer 1 দেওয়া আছে, a + b = 7, ab = 12, a - b = ? আমরা জানি, (a - b)2 = (a + b)2 - 4ab = (7)2 - 4 × 12 = 49 - 48 = 1 অতএব, a - b = 1

Explanation:

The average of three numbers is 24. . If two of the numbers are 21 and 23, the third number is -- Correct Answer 28 Let, third number is x so, (x + 21 + 33)/3 = 24 বা, x = 72 - 44 = 28

Explanation:

Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in : Correct Answer 3 days Hints: এই গণিত টি ঐকিক নিয়মে করা যায়। কিন্তু চিম্তা করলে আরও দ্রুত হবে। দুইজন মানুষ কাজটি অর্ধেক সময়ে অর্থাৎ ৬ দিনে করবে। আবার সেই কাজের ও অর্ধেক কাজ করবে আরও অর্ধেক সময়ে অর্থাৎ ৩ দিনে।

Explanation:

In a 100m race, A beats B by 10m and C by 13m. In a race of 180m, B will beat C by Correct Answer 6m Hints: A:B = 100:90 ; A:C = 100:87 B/C = B/A × A/C = 90/100 × 100/87 = 30/29 যখন B 30 m যায়, C যায় (29/30 × 180) বা 174m B beats C by = 180 - 174 = 6

Explanation:

Find the least number exactly divisible by 12, 15, 20 and 27. Correct Answer 540 Hints: 12, 15, 20, 27 এর ল, সা, গু করলে হয় = 540

Explanation:

In an office , the ratio of female to male employees is 1 : 4 what percentage of the employees are male ? Correct Answer 80% percentage of male employee = 4/(4 + 1) *100 = 80%

Explanation:

Mr. X lost a wallet containing Tk. 120 . Incidentally, he had only notes of Tk. 2 and Tk. 5 denominations in the wallet . If the total number of notes was 30 , how many Tk. 5 denomination notes did he have? Correct Answer 20 Let, no. of tk.2 notes x and no. of tk.5 notes y x + y = 30.............(i) so, x = 30 - y 2x + 5y = 120.............(ii) Now, 2(30 - y) + 5y = 120 বা, 60 - 2y + 5y = 120 বা, 3y = 60 so, y = 20

Explanation:

How much fence will be needed to enclose a rectangular field that is 600 cm wide and 3000 cm long? Correct Answer 72 perimeter = 2(600 + 3000) = 7200 cm = 72 m

Explanation:

একটি গাড়ি ঘন্টায় ৭৫কি.মি. বেগে চলে। একজন লোক ৪ মিনিটেম১ কি.মি. দৌড়ালে লোকটির গতিবেগ গাড়ির গতিবেগের শতকরা কত হবে? সঠিক উত্তর ২০% এখানে,  ৪ মিনিট = ৪/৬০ ঘণ্টা = ১/১৫ ঘণ্টা লোকটির গতিবেগ = ১ / (১/১৫) = ১৫ কি.মি./ঘণ্টা এখন,  লোকটির গতিবেগ / গাড়ির গতিবেগ = ১৫ / ৭৫ সুতরাং,  লোকটির গতিবেগ = ১/৫×১০০%×গাড়ির গতিবেগ = গাড়ির গতিবেগের ২০%

Explanation:

For a 20% decrease in the radius of a circle, what will be the percentage reduction in its area? Correct Answer 36% Let, radius = 100 Area = πr2 = π ×1002 = 10000π New Radius = 100 - 100 ×20% = 80 New area = π (80)2 = 6400π Area decrease = ( 10000 - 6400) π = 3600π Percentage of area decrease = 3600π/10000π ×100% = 36%

Explanation:

ত্রিভুজের তিন বাহুর দৈর্ঘ্য যথাক্রমে ৬, ৮ ও ১০ মিটার হলে বৃহত্তম ও ক্ষুদ্রত্তম বাহুর মধ্যবিন্দু দুটির দূরত্ব কত মিটার? সঠিক উত্তর ৪ এখানে, বৃহত্তম ও ক্ষুদ্রতম বাহুদ্বয় যথাক্রমে ১০ ও ৬ মিটার। তৃতীয় বাহুটি ৮ মিটার। আমরা জানি, ত্রিভুজের যেকোনো দুই বাহুর মধ্যবিন্দুর সংযোজক রেখাংশ তৃতীয় বাহুর অর্ধেক। তাই উক্ত বিন্দুদ্বয়ের দূরত্ব হবে ৮/২ =  ৪ মিটার।

Explanation:

A motorist travels to a place 150 km away at an average speed of 50 km and returns at 30 km per hour. His average speed for the whole jurney in km per hour is : Correct Answer 37.5 Hints: বেগ = দূরুত্ব /সময় average speed = 150 + 150 / (150/50 + 150/30) = 37.5km/h

Explanation:

Four years ago, the father's age was three times the age of his son. The total of the ages of the father and the son after four years, will be 64 years. What is the father's age at present? Correct Answer None of these Hints: ধরি, পিতার বর্তমান বয়স. F son এর S 4বছর আগে F - 4 = 3(s - 4) F - 4 = 3S - 12 4বছর পরে, F + 4 + s + 4 = 64 s = 64 - 8 - F = 56 - F F - 4 = 3(56 - F) - 12 F - 4 = 168 - 3F - 12 4F = 168 - 12 + 4 = 160 F = 60 সঠিক উত্তর নাই

Explanation:

The price per unit of a product increases by 25% . The actual Taka increase in the unit price is Tk.1.25. What was the unit price in Taka before the price increase? Correct Answer 5 If tk. 25 increase then product price is Tk.100 If tk 1.25 increase then product price is (100 * 1.25)/25 = Tk.5

Explanation:

The price of tea being increased by 20%, a man reduces his consumption by 20%. By how much percent will his expenses for tea be decreased? Correct Answer 4% Himts: ধরি, Original consumption 100 unit এবং original দাম 100 টাকা। Original খরচ = 100 × 100 = 10000 নতুন খরচ = 120 × 80 = 9600 খরচ এর decrease = (10000 - 9600) × 1/100% = 4%

Explanation:

A starts business with Tk. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital? Correct Answer Tk. 9000 Hints: ধরি, B এর মূলধন হয়ছে, 3500 × 12/ 7 × x = 2/3 14x = 126000 x = 9000

Explanation:

If the length of rectangle A is one-half the length of rectangle B, and the width of rectangle A is one-helf the width of rectangle B, what is the ratio of the area of rectangle A to the are of rectangle B? Correct Answer 1/4 Hints: rectarged B এর length l হলে A এর length = 1/2 l rectarged B length W এর width = 1/2 w ratio আয়তন = A/B = 1/2l × 1/2 w / l × w = 1/4

Explanation:

The least number by which 294 must be multiplied to make it a perfect square, is : Correct Answer 6 Hints: 6 দিয়ে 244 এর গুন করলে হয় 1764, যা 42 এর বর্গ।

Explanation:

The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is : Correct Answer 35 Hints: number = 27 × 5 - 25 × 4 = 35 (ans)

Explanation:

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Tk. 1000 more than D, what is B's share?" Correct Answer Tk. 2000 Hints: ধরি, তাদের share যথাক্রমে 5x, 2x, 4x, 3x তাহলে, 4x - 3x = 1000 B এর share = 2x = 2 × 1000 = 2000

Explanation:

If x = 2y =3z and xyz =36 , what is the value of z? Correct Answer 2 x = 2y = 3z∴ x = 3z;y = 3z/2So, xyz = 36⇒ 3z.3z/2.z = 36⇒ 9z³ = 72⇒ z³ = 8⇒ z³ = 2³∴z = 2

Explanation:

Volume of a water tank is 192 cft. Its length ,breadth, and height are in proportions 4: 3:2 . --- what is the area of its base in square feet? Correct Answer 48 Let, length 4x breadth 3x height 2x প্রশ্নমতে, 4x.3x.2x = 192 বা, 24 x^3 = 192 বা, x^3 = 8 so, x = 2 Base area of tank = (4.2).(3.2) = 48 square feet

Explanation:

On Tuesday, 30 of the students in a class took a test and their average score was 83.5 . On Thursday , the other 5 students took the test, and their average score was 94. what was the average for the entire class? Correct Answer 85% Average = 30×83·5 + 5×9430 + 5 = 2505 + 47035 = 85 = 85%

Explanation:

A ferry, when empty , travels twice as fast as when it is full. It travels 20 miles south with a cargo, spends 30 minutes for unloading , and returns to its original port empty in a total of 8 hours , what is the speed of the ferry when it is empty? Correct Answer 8 mph Let, In 1 hours the ferry goes x km when loaded and " 1 " " " " 2x " " empty According to question, 20x + 202x = 8 - 0·5 hours  ∴30 minute = 12hours = 0·5hours⇒40 + 202x = 7·5⇒60 = 15x∴x = 4So, ferry goes2×4 = 8 km in 1 hours when it is empty.

Explanation:

A bicycle has two wheels of 120 cm and 40 cm in diameters. when the large wheel makes 10 revolutions , how many revolutions does the small wheel make in that time? Correct Answer 30% The circumference of big wheel = 120π and small wheel = 40π∴ big wheel is 3 times largers. So, small circle will make 3×10 = 30 revolutions.

Explanation:

Baki lives 2 miles west of Raju's house . Rafiq lives 3 miles of Raju's house and 2 miles west o Diba's house. what is the straight-line distance from Baki's house to Diba's house? Correct Answer 5 miles So, 2 + 22 + 32 = ad2⇒ad2 = 16 + 9⇒ad = 25∴ad = 5

Explanation:

If the average of 7 , 13 , p , and q is 17 , what is the average of ( p +1) and (q -9) ? Correct Answer 25 Average, 7 + 13 + p + q4 = 17Or, 20 + p + q = 68⇒p + q = 68 - 20∴p + q = 48 Again, average p + 11 + q + 92 = p + q + 22 = 48 + 22 = 25

Explanation:

A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original . By what percentage has the area of the logo increased? Correct Answer 125 Increasd area = 100 + increasing rate1002 = 100 + 501002 = 1501002 = 225100 SO, Increased area = 225 - 100 = 125%

Explanation:

The average of a set of 12 numbers, which includes 35, is N. If 35 is removed from the set and 38 is added to the set, then what is the average of the new set of numbers in terms of N ? Correct Answer N +1/4 Difference  = 38 - 35 = 3∴ Average = 12N + 312 = N + 312 = N + 14

Explanation:

If n + n = k +k and n + k = 5, then n=? Correct Answer 3 Givenn + k = 5⇒k = 5 - n∴ n + n = k + n + n + ⇒2n = 3k⇒2n = 15 - 3n⇒5n = 15∴ n = 3

Explanation:

পরপর দুটি জোড় পূর্ণসংখ্যার বর্গের পার্থক্য নিচের কোন সংখ্যাটি দ্বারা বিভাজ্য? সঠিক উত্তর ৪ পরপর দুইটি জজোড় সংখ্যা হল 2x এবং 2x+2 এখন,(2x+2)^2 -(2x)^2= 4x^2 + 8x +4-4x^2=8x-4= 4x(2x-1)

Explanation:

A rectangular carpet has an area of 120 sq. meters and a perimeter of 46 meters. The length of its diagonal is-- Correct Answer 15 m Let, Length = x Breadth = y 2x + y = 46∴x + y = 23……iand xy = 120∴x + y2 = x + y2 - 4xy = 232 - 4×120 = 49∴x - y = 7……iiNow, i + iix + y = 23x - y = 7∴x = 15∴y = 8∴ Diagonal  = x2y2                       = 152 + 82                       = 17

Explanation:

The area of smallest square that can circumscribe a circle of area 616 cm2 is ----- Correct Answer 784 cm2 We know, circle of area = πr2 According to the question, πr2 = 616⇒r2 = 616π⇒r2 = 196∴r = 14 Length of the Squae = 28 Area of squae = 282 = 784 cm2

Explanation:

what is the maximum percentage discount that a merchant can offer on her Marked price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50% ? Correct Answer 33.33% Let the actual price be A. Marked up price = A + 50% of A = A + 0.5A = 1.5A Maximum discount possible = (1.5A - A) / (1.5A) × 100% = 33.33%

Explanation:

A man can hit a target once in 4 shots. If he fires 4 shots in succession , what is the probability that he will hit his target? Correct Answer 1/256 Probability, 14×14×14×14 = 1256

Explanation:

How many diagonals does a 63 - sided convex polygon have? Correct Answer 1890 No of diagonals C263 - 63 = 1890 (Ans)

Explanation:

In a class 40% of the students enrolled for Math and 70% enrolled for Economics . If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects? Correct Answer 5% Only enrolled for math = 40 - 15 = 25% " " economics = 70 - 15 = 55% In both enrolled = 25% + 55% + 15% = 95% ⸫ Did not enrolled = 100 - 95 = 5%

Explanation:

A train 120 m long is traveling at a speed of 60 km / h. The time in which it will pass a passes by, walking at 6 km / h in the same direction is -- Correct Answer 8 sec Forbeing the same direction. So, the actual speed of train (60 - 6) km/h = 54 km/h Now, 54 km or 54000 m goes in 1 hour or 3600 second. ∴ 1 " " " 360054000 " ∴ 120 " " " 3600×12054000 " = 8 second

Explanation:

A man borrowed Tk . 900 at 10% per annum simple interest and immediately lent the whole sum at 10% per annum compound interest. what does the gain at the end of 2 years? Correct Answer Tk. 9 The simple interest 10% of Tk. 900 in 2 years = 900 × 2 × 10100 = 180 Again compound interest = P1 + rn = 9001 + 101002 = 9001101002 = 1089∴The gain of compound interest = (1 - 89 - 900) = Tk. 189 So, the gain = Tk. (189 - 180) = Tk. 9

Explanation:

If x +2y > 8 , then 2x + 4y is Correct Answer all of these x + 2y>8 = 2x + 4y>16

Explanation:

If p = the number of months in 7 years and q = the number of days in 12 weeks Correct Answer p = q p = No of months in 7 years = 12×7 = 84q = No of months in 12 weeks = 7×12 = 84