Explanation:

When a certain number is divided by 7, the remainder is O. But the remainder in not O if the number is divided by 14, what is the number? Correct Answer 7 The number should be multiple of 7 Let, the number be 21 Now, (21/7) = 3, reminder 0 And (21/14) = 1, reminder 7

Explanation:

If 2x+7=12, then what is the value of 4x-7? Correct Answer 3 2x + 7 = 12 = > 2x = 12 - 7 = > 2x = 5 = > x = 2.5 4x - 7 = 4. 2.5 - 7 = 10 - 7 = 3

Explanation:

Mr.Karim wants to put up fencing around three sides of his rectangular yard and leave a side of 10 feet unfenced. If the yard has an area of 340 sq. feet, how many feet of fencing does he need? Correct Answer None of these Area, Length×Width = 340 or,  Lenght×10 = 340 So, Length = 340/10 = 34 feet Fencing needed = 34 + 34 + 10 =  78 feet

Explanation:

If Tk. 45,000 was invested in a share when the price per share was Tk. 90 and Tk. 30,000 was invested when the price per share was Tk. 60, what was the average price per share purchased? Correct Answer Tk. 75 Total investment = 45000 + 30000 = 75000 Number of shares bought by at 90 TK rate = 45000/90 = 500 Number of shares bought at 60 TK rate = 30000/60 = 500 Total number of shares bought = 500 + 500 = 1000 Average share price = 75000/1000 = 75 TK

Explanation:

0.03 times .05 is --- Correct Answer 0.15% ০.০৩ × ০.০৫ = ০.০০১৫ এখানে, ৩ আর ৫ গুণ করলে ১৫ হয় এবং চারটা সংখ্যার আগে পয়েন্ট তাই। ০.০০১৫ হয়ছে চাররা সংখ্যর আগে পয়েন্ট দেওয়া হয়ছে ।

Explanation:

A sum of money is divided among Nyla, Shaminn and Raqib in such way that Nyla gets half the amount, Sharmin gets 3/4 of Nyla's share and Raqib ends up with 40. What is the total amount? Correct Answer 320 Let the total amount be T. Nyla gets = T/2 Sharmin gets = 3/4 of T/2 = 3T/8 Rakib gets = T - (T/2 + 3T/8) = T - 7T/8 = T/8 Now,  T/8 = 40 So,  T = 40×8 = 320 TK

Explanation:

A truck driver must complete a 180-mile trip in 4 hours. If he averages 50 miles an hour for the first three hours of his trip, how fast must he travel in the final hour? Correct Answer 30 mph d = s x t = 50 x 3 = 150 now distance left = 180 - 150 = 30 thus he need s to travel 30 miles in 4th hour thus his speed should be 30 miles per hour

Explanation:

A tree increases annually by 1/8 of its height. By how much will it increase after 2 years, if it stands today 64 cm high? Correct Answer 81 cm প্রতি বছর height এর 18 বাড়ে ১ম বছর পরে height = 64 + 64×18 = 64 + 8 = 72 cm ২য় বছর পরে = 72 + 72×18 = 72 + 9 = 81 cm

Explanation:

5% of which number is 25? Correct Answer 500 Let the number be X. So,  5% of X = 25 or,  5/100 of X = 25 or,  X = 25×100/5 = 500

Explanation:

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes? Correct Answer 1800 6 machines produce 270 bottles per minute 1 machine produce 270/6 bottles per minute 10 machines produce = 45×10 = 450 bottles per minute In 4 minutes 10 machines produce = 450 ×4 bottles = 1800 bottles

Explanation:

If one number exceeds another by 13 and the larger number, is 3/2 times the smaller number, then the smaller number is --- Correct Answer 26 If we assume the smaller number to be n, Then the larger number = 3n/2 As the larger number is 13 more than the smaller number, we can say (3n/2) - n = 13 Or, (n/2) = 13 Or, n = 26

Explanation:

If x>y and y is a positive integer, which of the following cannot be true? Correct Answer y/x >1 Here, x/y>1 and y is a positive integer.For example, if x=3 and y=2 then 3/2>1so y/x or, ⅔ can never be greater than 1

Explanation:

Of the followings, which is the largest? Correct Answer 126/250 ½=0.57/15=0.4749/100=0.49126/250=0.504that means the last one is greatest

Explanation:

If the length of rectangle A is one -half of the length of rectangle B , and the width of rectangle A is one -half of the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B? Correct Answer 1/4 Rectangle B এর length = l,width = w, তাহলে A এর হবে 121,12w ∴ area এর অনুপাত = 121×12w1×w = 14

Explanation:

If w is 10% less than x, and y is 30% less than Z, then why is what percent less than xz? Correct Answer 37% w = x - 10% of x w = .9x and y = z - 30% of z = .7z ⸫ wy = .63xz = (1 - .37)xz অর্থাৎ 7% less

Explanation:

If X is an odd integer and Y is an even integer, which of the following statements is true? Correct Answer X+Y is odd Here, x=odd and y=evenlet, x=1 and y=2then x+y=1+2=3 is always odd

Explanation:

If 15 men working at same rate can make 27 baskets in an hour, how many baskets would 45 workers make in 40 minutes? Correct Answer 54 15 men working 60 minutes(1hr) can make 27 baskets 45 men working for 40 minutes can make = 27×45×40 / (15×60) = 54

Explanation:

The width of a rectangular field is 1/3 rd its length. What is the area of the field in square yards if its length is 120 yards? Correct Answer 4800 Width = 1/3 of 120 = 40 yards Area = Length×Width = 120×40 = 4800 sq. yards

Explanation:

If both x and y are prime numbers, which of the following CANNOT be the product of x and y? Correct Answer 27 27 কে লেখা যায় 3 × 9 এই দুইটি সংখ্যার গুণফল হিসেবে, অন্যগুলোকে6 = 2 × 3, 10 = 5 × 2, 35 = 5 × 7 এভাবে লেখা যায়, যা কিনা prime numbe এর গুণফল।

Explanation:

One dozen of eggs and ten pounds of apples are currently of the same price. If the price of egg increase by 10% and the price of apple increase up by 2% how much more will it cost to buy a dozen of eggs and ten pounds of apples? Correct Answer 6% Let the price of one dozen of eggs and ten pounds of apples be P tk each.   So, total cost of one dozen of eggs and ten pounds of applles = P + P = 2P tk New price of one dozen of eggs = P + 10% of P = P + 0.1P = 1.1P New price of ten pounds of apples = P + 2% of P = 1.02P Total new price of one dozen of eggs and ten pounds of apples = 1.1P + 1.02P = 2.12P Price increase = (2.12P - 2P)/2P×100% = 6%

Explanation:

If Arif takes 5 minutes to make a box and Kalam takes 6 minutes to make the same box, what will be the ratio of the number of boxes produced by Airf to the number of boxes produced by Kalam if they work for 2 hours? Correct Answer 6 to 5  Time = 2hrs = 120 minutes Arif produces in 120 min = 120/5 = 24 boxes Kalam produces in 120 minutes = 120/6 = 20 boxes. Arif : Kalam = 24 : 20 = 5 : 4

Explanation:

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? Correct Answer 40   ATQ 20x + 30x = 10 × 100  = > 50x = 1000 = > x = 1000/50 ∴ x = 20   the total number of stamps = 20 + 20 = 40 (ans)

Explanation:

A club has member. If the club wants to form a committee of 4 members, how many different committees can be formed? Correct Answer None of these with 4 members, there can be 4!=24 different  commitee so the answer is none

Explanation:

If 40% of all women are voters and 52% of the population are women, what percent of the population are female avoters? Correct Answer 20.8 মনে করি, মোট জনসংখ্যা = 100 জন Women দের সংখ্যা = 52 জন Women দের ভোটার সংখ্যা = 52×(40/100) = 20.8

Explanation:

A picture is copied onto a sheet of paper, which measures 8.5 inches by 10 inches. A border of 1.5 inch is left all around. What is the area, in square inches, covered by the picture? Correct Answer 38.5 Measurements excluding borders are (8.5 - 2×1.5 = 5.5) inches by (10 - 2×1.5 = 7) inches. So, area of the picture = 5.5×7 = 38.5 in2

Explanation:

If the product of 3 consecutive integers is 120, then the sum of the integers is -- Correct Answer 15 Let the first integer be x - 1. Then the next two integers would be x and x + 1. So: (x - 1)× x × (x + 1) = 120 = > (x² - 1)x = 120 = > x³ - x = 120 ∴x = 5 , Check 5³ - 5 = 125 - 5 = 120. So, x = 5. The other two numbers are 4 and 6 which are equal to x - 1 and x + 1 respectively. Now the total of these numbers is 3x = 3×5 = 15.

Explanation:

Three pipes P, Q and R can fill a tank in 6 hours. After working all three together for 2 hours, R is closed and P and Q can fill the remaining part in 7 hours. The number of hours taken by R alone to fill the tank is- Correct Answer 14 P, Q & R alltogether can fill 1/6 th of the tank in 1 hour So, in 2 hours they fill = 2×1/6 = 1/3 of the tank Remining part to be filled = 1 - 1/3 = 2/3 of the tank P & Q together in 7 hours can fill 2/3 of the tank So, P & Q together in  hour can fill = 2/(3×7) = 2/21 of the tank So,  R alone can fill in 1 hour = 1/6 - 2/21 = (7 - 4)/42 = 1/14 of the tank Therefore,  R alone can fill the tank in 14 hours.

Explanation:

A man can row three- quarters of a kilometer against the stream in 11.25 minutes and down the stream in 7.5 minutes. The speed ( in km/hr) of the man in still water is- Correct Answer 5 km/hr Let the speed of the man and flow of the stream U and V respectively. Distance = 3/4 km Time taken to go upstream = 11.25 min = 11.25/60 hr Conbined speed upstream = (3/4) / (11.25/60) = 4 km/hr or,  U - V = 4 or, V = U - 4 Time taken to go downstream = 7.5 min = 7.5/60 hr Conbined speed downstream = (3/4) / (7.5/60) = 6 km/hr or, U + V = 6 or, U + U - 4 = 6 or, 2U = 6 + 4 or, U = 10/2 = 5 km/hr

Explanation:

Present age of Samad and Akmal are in the ratio of 5:4 respectively. Three years later, the ratio of their ages will become 11:9 respectively. What is Akmals present age? Correct Answer 24 Let their present ages be 5x and 4x respectively. Three years later, (5x + 3) : (4x + 3) = 11 : 9 or,  (5x + 3) / (4x + 3) = 11/9 or, 9(5x + 3) = 11(4x + 3) or,  45x + 27 = 44x + 33 or,  45x - 44x = 33 - 27 or,  x = 6 So, present age of Akmal = 4x = 4×6 =  24 years

Explanation:

Roman covers 17 kilometer in 5 hours . How much time does he need to cover 10.2 kilometer ? Correct Answer 3 Hrs He can cover 17 km in 5 hrs So, He can cover 10.2 km in 5×10.2/17 hrs = 3 hrs

Explanation:

The ratio between the length and breadth of a field is 7:5. The perimeter of the field is 360 meter. What is the area of the field ? Correct Answer 7875 sq. meter Let the length and breadth be 7x and 5x meters respectively. Then, perimeter,  2(7x + 5x) = 360 or,  2×12x = 360 or,  24x = 360 or,  x = 360/24 = 15 Area = length×breadth =   7x × 5x = 35x2  = 35×152  = 35×225 =  7875 m2

Explanation:

Arif incurred a loss of 25% by selling a used mobile phone set at taka 1500. How much could he gain/lose by selling that 2200 taka ? Correct Answer 10% gain Let the original price be A. Then,  A - 25% of A = 1500 or,  A - 0.25A = 1500 or,  0.75A = 1500 or,  A = 1500/0.75 = 2000 TK Gain = (2200 - 2000)/2000 × 100% = 10%

Explanation:

What should be added with 15480 to make it exactly divisible by 14 ? Correct Answer 4 Here,  15480 ÷ 14 = 1105; remainder = 10 Number to be added = 14 - 10 = 4

Explanation:

Rumi and Rony can finish a task, working together, in 12 days. If Rony alone can finish that in 20 days, how many days will Rumi need to finish the task working alone ? Correct Answer 30 Together the can finish 1/12 of the work in a day. Rony alone can finish 1/20 of the work in a day. Rumi alone can finish = 1/12 - 1/20 = (5 - 3)/60 = 1/30 of the work in a day. So, Rumi alone can finish the work in 30 days.

Explanation:

The average age of 40 employees in a branch of a bank is 35 years . When a new employee joined the bank the average age increased to 35.5 years. What is the age of the new employee ? Correct Answer 55.5 Total age of 40 employees = 40×35 = 1400 years Total age of 41 employees = 41×35.5 = 1455.5 years Age of the new employee = 1455.5 - 1400 = 55.5 years

Explanation:

If x is an integer then which of the following must be odd ? Correct Answer 2x+3 Let, x=2then, 2x+3=2×2+3=7 which is odd

Explanation:

A wire that weight 24 kilogram is cut into two pieces so that one of these two pieces weigh 16 kilogram and is 34 meter long. If the weight of each piece is proportional to its length , how long is the other piece ? Correct Answer 17 meters Weight of the other peice = 24 - 16 = 8 kg Here,  weight ∝ length or,  (length/weight)second  = (length/weight)first or, (length/8)second  = (34/16)first So, length of the other peice = 34 / 16 × 8 =  17 meters

Explanation:

Which one of the following fractions is the smallest? Correct Answer 2/9 2/9 = 0.22 [ smallest ] 5/8 = o. 6 1/2 = 0.5 7/12 = 0.5

Explanation:

If x% of 40 is y then 10x = ? Correct Answer 25y Here,  x% of 40 = y or,  x/100 of 40 = y or,  x = y×100/40 or,  10x = 10×y×100/40 or,  10x = 25y

Explanation:

On selling an article for Tk. 550, a man gains 10%. What will be the selling price, if desired profit is 20%? Correct Answer Tk. 600 At 10% gain, If selling price Tk(100 + 10) or 110 cost Tk.110 If selling price Tk.550 cost Tk. = (100 × 550)/110 = Tk.500 At 20% profit, Selling price = 500 + 500 × 20% = 500 + 500 × 20/100 = 600

Explanation:

if 1/2 of the money in a certain trust was invested in stocks, 1/4 in bonds, 1/5 in a mutual fund, and the remaining Tk. 10,000 ina government certificate, what was the total amount of the trust fund? Correct Answer 2,00,000 Portion invested in government certificate = 1 - ( 1/2 + 1/4 + 1/5) = 1 - ( 10 + 5 + 4) /20 = 20 - 19/20 = 1/20 1/20 portion = 10, 000 1 portion = 10, 000 ×20/1 = 2, 00, 000

Explanation:

A can do a piece of work in 15 days and B can do it in 10 days. Working together how long will they take to finish the work? Correct Answer 6 days In 15 days A can do 1 portion in 1 days A can do 1/15 portion In 10 days B can do 1 portion In 1 days B can do 1/10 portion In 1 day A & B can do ( 1/15 + 1/10) or 2 + 3/30 or 5/30 or 1/6 portion A & B can finish 1/6 portion in 1 day A & B can finish 1 portion in 1/6 day = 6 days

Explanation:

If the length of a rectangle is 8 cm and its diagonal is 10 cm, find its area. Correct Answer 48 cm2 Using short cut technique ABC is a right angled triangle সমকোণী ত্রিভুজের তিন বাহুর অনুপাত হতে পারে 3 : 4 : 5 or 5 : 12 : 13 3 : 4 : 5 = 6 : 8 : 10 Area = 6 × 8 = 48 cm2

Explanation:

There ar 200 students in a class. 76% passed in Bangla and 54% passed in English . If 10% of the students failed in both the subjects then how many of them passed in both subjects ? Correct Answer 80 Passed in Bangla = 76% of 200 = 152 Passed in English = 54% of 200 = 108 Failed in both subjects = 10% of 200 = 20 Passed in atleast one subject = 200 - 20 = 180 Passed in both subjects = 152 + 108 - 180 = 80

Explanation:

A glass was filled with 10 liters of water and 0.01 liter of water evaporated every day during a 20-day period . What percent of the original amount of water evaporated during the period ? Correct Answer 2% Total water evaporated = 0.01×20 = 0.2 liter Percentage of evaporated water = 0.2 / 10 × 100% = 2%

Explanation:

If the price of a dress is TK. 200 that includes 15% VAT, then what is the amount of VAT ? Correct Answer TK. 26.09 Let the price excluding VAT be A. So,  A + 15% of A = 200 or,  A + 0.15A = 200 or,  1.15A = 200 or,  A =   200/1.15 = 173.91 TK So,  VAT = 200 - 173.91 =  26.09 TK

Explanation:

On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? Correct Answer 5 Let the number be n and initial divident be m. Then,  n = 357m + 39 = 21×17×m + 2×17 + 5 So, the final remainder will be 5.

Explanation:

X sells a product to Y and makes a profit of 25%. Y sells it to Z at a loss of 20%. If Z buys it for Tk. 140, what is X's purchase price? Correct Answer 140 Let, X's purchase price = a X's selling price = a + a × 25a% = 1.25a = Y's purchase price Y's selling price = 1.25.a - 1.25a × 20% = 1.25a - 1.25a ×20/100 = 1.25a - 0.25a = a = Z's purchasing price = 140

Explanation:

Noman sells pens for TK. 65.00 each. This price gives him a profit of 30 percent on the costs. What will be the new retail price of each pen if he cuts his profit to 10 percent of costs ? Correct Answer TK. 55.00 Let the cost price be A. Then, A + 30% of A = 65 or, A + 0.3A = 65 or,  1.3A = 65 or,  A = 65 / 1.3 = 50 TK. New retail price at 10% profit = 50 + 10% of 50 = 50 + 5 = 55 TK