Explanation:

If the average of 5 consecutive integers is 12, what is the sum of the smallest and the largest of the 5 integers? Correct Answer 24 The average of 5 consecutive integers is 12 then, the sum of 5 consecutive integers is 60 x + x + 1x + 2 + x + 3 + x + 4 = 60 5x + 10 = 60 x = 10 The lowest number is 10 and the highest number is 14 and sum of these two value will be 24

Explanation:

During a month, Jalil used 1/6 of his monthly salary for a car payment and an amount which is 1.25 times more than the car payment for rent. What fraction of his monthly salary did Jalil use that month the car payment and rent combined? Correct Answer 3/8 Let the total salary be 24  For car payment = 1/6*24 = 4 For rent = 1/4th more than the car payment = 1/4*4 + 4 = 5 Used for car payment & rent combined = 4 + 5 = 9 Fraction used for car payment & rent combined = 9/24 = 3/8 .Ans

Explanation:

Ashraf purchased Tk. 3000 worth of traveler's checks. If each check was worth either Tk. 100 or Tk. 250, which of the following cannot be the number to Tk. 100 checks purchased? Correct Answer 18 ১০০*১৮=১৮০০৩০০০-১৮০০=১২০০.now if we divide 1200/250. We Won't get a full number

Explanation:

A truck driver must complete a 180-mile trip in 4 hours. If he average 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:

The sum of the three consecutive odd numbers exceeds twice the largest number by 6. What is the sum of the three number? Correct Answer none of these ধরি, প্রথম বিজোড় সংখ্যাটি হলো x.  তাহলে পরবর্তী 2টি বিজোড় সংখ্যাগুলো হবে যথাক্রমে  (x + 2), (x + 4), প্রশ্নমতে, x + x + 2 + x + 4 = 2(x + 4) + 6 = >3x + 6 = 2x + 8 + 6 ∴x = 8   x + 2 = 10   x + 4 = 12 ∴সমষ্টি = 8 + 10 + 12 = 30

Explanation:

Babul weighs twice as much as Akther. Akhter's weighs is 60% of Salam's weight. Ashraf weighs 50% of Hasan's weight, Hasan weighs 190% of Babul's weight. which if these 5 persons weighs the least? Correct Answer Akhter Let Akhter and Babul's weight be A and B respectively. Then,  B = 2A       or, A = B/2 = 0.5B  And,  Hasan's weight = 190% of B = 1.9B Again, Ashraf weight = 50% of 1.9B = 0.95B Also, Akhter's weight is less than Salam's weight. So,  Akhter weighs the least.

Explanation:

Maruf's net income is always 80 percent of his gross income. What will be increase in Maruf's net income when his gross income increases from Tk. 20,000 to Tk. 30,000? Correct Answer 8,000 Net income from gross income of 20,000 tk = 80% of 20,000 = (0.8)(20,000) Net income from gross income of 30,000 tk = 80% of 30,000 = (0.8)(30,000) So, the INCREASE in net income = (0.8)(30,000) - (0.8)(20,000) = (0.8)(30,000 - 20,000) = (0.8)(10,000) = 8,000 tk. Ans

Explanation:

One third the sum of 13 and a certain number is the same as one more than twice the number ---- Correct Answer 2 (13 + x)/3 = 2x + 1 13 + x = 6x + 3 m or, 13 - 3 = 6x - x or, 5x = 10 or, x = 2

Explanation:

The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers? Correct Answer 5 Let the integers from smallest to largest be x - 2, x - 1, x, x + 1 & x + 2 respectively.  Then, x - 2 + x - 1 + x + x + 1 + x + 2 = 3(x + 2) or,  5x = 3x + 6 or,   5x - 2x = 6 or,   2x = 6 or,    x = 3 So, the largest intger is 3 + 2 = 5.

Explanation:

Four years ago Sumon's age was half of what it will be in eight years. How old is Sumon? Correct Answer 16 Let Sumon's age be S. Four years ago, his age was (S - 4). After eight years, his age will be (S + 8). Then,  S - 4 = (S + 8)/2 or,   2(S - 4) = S + 8 or,   2S - 8 = S + 8 or,   2S - S = 8 + 8  or,    S = 16 years.

Explanation:

If Sabbir requires 5 minutes to make a box and Zoha requires 7 minutes to make a box, what will be the number of boxes made by Sabbir to the number of boxes made by Zoha if they work for 5 hours and 50 minutes? Correct Answer 7 to 5 5 hour 50 minutes = 5 x 60 + 50 = 350 minutes Number of boxes made by Sabbir = 350/5 = 70 Number of boxes made by Zoha = 350/7 = 50 Sabbir : Zoha = 70 : 50 = 7 : 5

Explanation:

The average of x and another number is z. the other number must be ---- Correct Answer 2z-x The average of x and another number is z. Sum of x and the other number is = 2z  so, the other number must be = 2z - x ans: 2z - x

Explanation:

40% of 200 is what percent of 160? Correct Answer 50 X% o 160 = 40% of 200 or,  X = 40 x 200 / 160 = 50 So, 50% of 160 is equal to 40% of 200.

Explanation:

There are 120 engineers and technicians working in a project. If the ratio of engineers to technicians in 3 to 5, how many technicians are working in the project? Correct Answer 75 Number of technicians = {5 / (3 + 5)} x 120 = 75

Explanation:

If x is an odd integer, which of the following must be an even integer? Correct Answer 5x+1 let, x is an odd integer i.e. x=1,3,5,…now if x=1, 5x+1=5*+1=6 is an even integer

Explanation:

If 40% of the workers are graduate, and of them 15% are male, what percent of the workers are male and graduare? Correct Answer 6% Graduate workers = 40% of all workers Male graduate workers = 15% of graduate workers = 15% of (40% of all workers) = (15/100) of 40% of all workers = 6% of all workers

Explanation:

If a certain integer x is divided by 4, the remainder is 3, then all of the following could be an integer except ---- Correct Answer x/8 Q. If a certain integer x is divided by 4, the remainder is 3, then all of the following could be an integer except ---- When x is divided by 4 the remainder is 3 simply means that x is not divisible by 4, so it cannot be divisible by 8 either.∴ x/8 is not an integer.

Explanation:

If x=3 and y= 1/6, then the value of x in terms of y is --- Correct Answer 18y Given that,      y = 16⇒ 1 = 6yagain,        x= 3⇒ x = 3 × 1⇒ x = 3 * 6y   (Putting the value of 1)⇒ x = 18yAns: x = 18y

Explanation:

If 3x+2y=8 and 2x-y=3, find the value of 4y-3x = ? Correct Answer -2 3x + 2y = 8 - - - - - - - - - (i) 2x - y = 3 - - - - - - - - - - - (ii) Now, [ (i) + (ii)x2]>> 3x + 2y = 8 4x - 2y = 6 - - - - - - - - - - - - - - - - - - 3x + 4x = 8 + 6 or, 7x = 14 So,  x = 14/7 = 2 Now, from (ii)>> y = 2x - 3 = 2 x 2 - 3 = 1 So,  4y - 3x = 4 x 1 - 3 x 2 = 4 - 6 = - 2

Explanation:

If a=x and b=y and xy=0, then which of the following must be true? Correct Answer a=0 or b=0 here, a=x and b=y then xy=0 will be only if a or b is equals to 0.

Explanation:

Of the following, which is the smallest? Correct Answer 1/4 Q. Of the following, which is the smallest?Option A: 1/4 = 0.25Option B: 7/22 = 0.31Option C: 12/47 = 0.255Option D: 121/482 = 0.251∴ the smallest one is 1/4

Explanation:

If the length of a rectangle is increased by 40% and the width is decreased by 20%, the area of the rectangle will increase by? Correct Answer 12% Let the initial length and width be L & W respectively. Then, initial area = L x W Length after 40% increament = 1.4L Width after 20% decreament = 0.8W New area = 1.4L x 0.8W = 1.12 (L x W) So, area will increase by 12%. [Shortcut:  ( + 40) + ( - 20) + ( + 40)x( - 20)/100 =   + 12%]

Explanation:

One pipe can fill a pool in 6 hours, and a second pipe can fill the same pool in 12 hours. If both pipes work together, how long will it take to fill the pool? Correct Answer 4 hours First pipe can fill 1/6 of the pool in an hour Second pool can fill 1/12 of the pool in an hour Together they can fill (1/6 + 1/12) or 1/4 of the pool in an hour So, they can fill the pool completely in 4 hours.

Explanation:

Alam weight twice as much as Marina. Marina's weight is 60% of Robin's weight. Drabir weight 50% of Lina's weight. Lina weighs 190% of Alam's weight. Which of these 5 persons weighs the least? Correct Answer Marina Lets Robin's weight = 100 kgAs per question,Marina's weight = 60% X Robin's weight = 60% X 100 = 60 kg∴ Alam's weight = 60 X 2 = 120 kg∴ Lina's weight = 190% X 120 = 228 kg∴ Drabir's weight = 50% X 228 = 114 kgFrom all the above, it is clear that Marina weighs the least.

Explanation:

If x is an odd integer and y is an even integer, which of the following statements is (are) always true? 1. X+Y is odd. 2. XY is odd. 3. 2X+Y is even. Correct Answer 1 and 3 only 1. Addition of odd and even integers yields odd intgers. Example: 4 + 3 = 7. So, statement 1 is true. 2. Multiplication of odd and even integers yields even integers. Example: 4x3 = 12. So, statement 2 is false. 3. 2x is even and y is also even. So, 2x + y is even. Therefore, statement 3 is true.

Explanation:

One dozen eggs and ten pounds of apples have the same price. If the price of a dozen eggs rises by 10% and the price of apples goes up by 2%, how much more will it cost to buy a dozen eggs and ten pounds of apples? Correct Answer 6% As same price, Let one dozen eggs = 100 ten pounds of apples = 100 So total amount 200 Eggs price rises 10% = 100 + 10 = 110 Apples price rises 2% = 100 + 2 = 102 Rises total amount 212 Just rises amount 12 So cost price will 12*100/200 = 6% Ans: 6%

Explanation:

A farmer has two rectangular field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount? Correct Answer 7K Let the length of the samller field = L width of the smaller field = W So the area of the smaller field = WL = K Now the length of the bigger field = 2L Width of the bigger field = 4W So the Area = 4W * 2L = 8WL = 8K Therefore, the area of the larger field is greater than the area of the smaller field = 8K - K = 7K ans: 7K

Explanation:

Three individuals contributed Tk. 8000.00 each toward the purchase of a computer. If they bought the computer on sale for Tk. 19,500.00 plus 10 percent sales tax, how much money should be refunded to each individual? Correct Answer Tk. 850 Total contribution = 3 x 8000 = 24000 TK Cost of computer = 19500 + 10% of 19500 = 19500 + 1950 = 21450 TK. Excess contribution = 24000 - 21450 = 2550 TK. Refund to each = 2550/3 = 850 TK.

Explanation:

X lives 4 kilometers due west of Y's house. Z lives 6 kilometers due north of Y's house and 4 kilometers due west of T's house. What is the straight-line distance in kilometers from X's house to T's house? Correct Answer 10 Apply the Pythagorean Theorem We get: 8² + 6² = x² Simplify: 64 + 36 = x² Simplify: 100 = x² So, either x = 10 or x = - 10 Since the length can't be negative, we know that x = 10

Explanation:

In a class of 120 students, 60 percent can speak French and the rest can speak only English. If 25 percent of those in the class who can speak French can also speak English, how many of the students in the class can speak English? Correct Answer 66 Number of  French speaking students = 60% of 120 = 72 Number of students speaking both French and English = 25% of 72 = 18 Number of students who speaks only English = 120 - 72 = 48 Total number of English speaking students = 48 + 18 =  66

Explanation:

If one number exceeds another number 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 Tk. 45,000 was invested in share market when the price per share was Tk. 90 and Tk. 30,000 was invested when the price per share was Tk.100, what was the average price per share purchased? Correct Answer Tk. 93.75 Number of share purchased with TK 45000 investment = 45000/90 = 500 Number of share purchased with TK 30.000 investment = 30000/100 = 300 Total number of share = 500 + 300 = 800 Total investment = 45000 + 30000 = 75000 TK. Average price per share = 75000 / 800 = 93.75 TK.

Explanation:

A train went 300 miles from X to Y at an average speed of 80 mph. At what speed did it travel on the way back it its average speed for the whole trip was 100 mph? Correct Answer 133.33 mph Total time spent = (300 + 300) / 100 = 6 hours Time spent on departure trip = 300 / 80 = 3.75 hours Time spent on return trip = 6 - 3.75 = 2.25 hours Average speed on return trip = 300 / 2.25 = 133.33 miles per hour.

Explanation:

After filling the car's fuel tank, a driver drove from P to Q and then to R. He used 2/5 of the fuel driving from P to Q. if she used another 7 gallons to drive from Q to R and still had 1/4 of the tank full, what is the capacity of the tank in gallons? Correct Answer 20 Fuel used from Q to R = 1 - (2/5 + 1/4) = 1 - 13/20 = 7/20 Now, 7/20 of capacity = 7 gallons So, full capacity = 7 x 20/7 =  20 gallons

Explanation:

What is the largest number of apples not exceeding 440 that can be distributed among three persons in the proportions of 5 : 6 : 7? Correct Answer 420 The least common multiple of 5, 6 & 7 is 210. So, the the number of apples can be distributed in the ratio of 5 : 6 : 7 are 210, 420, 630 and so on. So, the highest number possible in this case not exceeding 440 will be 420.

Explanation:

A rectangular carpet measuring 16 m by 12 m (excluding the border) has a border of width 2m on each of its sides. What is the area of the border Correct Answer 128m2 Measurements of the carpet with borders are (16 + 2x2) or 20 m and (12 + 2x2) or 16 m. Area of the carpet with borders = 20 x 16 = 320 m2 Area of the carpet without borders = 16 x 12 = 192 m2 So, area of the borders = 320 - 192 = 128 m2

Explanation:

A man has to go 10 km to catch a bus. He walks part of the way at 7 km/hr and runs the rest of the way at 12 km/hr. If he takes 1 hour 15 minutes to complete his journey, find how far he walked. Correct Answer 7 km If he walks W km then he runs (10 - W) km. Time taken = 1 hr 15 mn = 1.25 hr ATQ,  W/7 + (10 - W)/12 = 1.25 Or,  {12W + 7(10 - W)} / 84 = 1.25 Or,  12W + 70 - 7W = 1.25 x 84 - 70 Or,  5W = 35 So,   W =  7 km

Explanation:

A wholesaler sells goods to a retailer at a profit of 20%. The retailer sells to the customer.who pays 80% more than the cost of the wholesaler. What is the retailer's profit? Correct Answer 50% Let the cost of the wholeselle be W. Then, Buying price of the retailer = 1.2W The customer pays = W + 0.8W = 1.8W So, profit of the retailer = (1.8 - 1.2)/1.2 x 100% =  50%

Explanation:

A certain sum of money consists of 30 coins, some of which are 10 paisa coins and the rest are 5 paisa coins. If the total value of the coins is Tk. 2, what is the number of 10 paisa coins? Correct Answer 10 If the number of 10 paisa coins is T then the number of 5 paisa coins is (30 - T). 2 TK ≡ 200 paisa ATQ,   10T + 5(30 - T) = 200 Or,   10T + 150 - 5T = 200 Or,   5 T = 200 - 150 So,   T = 10.

Explanation:

Two blends of tea costing $2.80 and $3.20 per kg respectively are mixed in the proportion 2 : 3. The mixture is sold at $4.80 per kg. What is the percentage of profit? Correct Answer 57.9 Let the amount of tea blends be 2T and 3T respectively. Then total cost  = 2T x $2.8 + 3T x $3.2 = $15.2T Total sell = (3T + 2T) x $4.8 = $24T So, profit = (24T - 15.2T) / 15.2T x 100% = 57.9%

Explanation:

Water flows into an empty 64-gallon drum through pipe A and flows out through pipe B. If the rate of flow through A is 2 gallons/hour, how many gallons per hour must flow out through pipe B so that the drum is full in exactly 96 hours? Correct Answer 4/3 Let the required flow rate of pipe B be X gallons per hour. Together they fill (2 - X) gallons per hour. ATQ,  64 / (2 - X) = 96) Or,  64 / 96 = 2 - X  Or,  X = 2 - 64 / 96 = 4/3 gallons per hour.

Explanation:

Ali bought 500 shares of company X at Tk. 600 and 2 months later bought another 250 shares of the same company at Tk. 560. At which price should he purchase additional 250 shares in order to have an average price of Tk. 580 per share? Correct Answer 560 Let the required price be P. Then, (500 x 600 + 250 x 560 + 250 x P) / (500 + 250 + 250) = 580 Or,  440000 + 250P = 580 x 1000 Or,  P = (580000 - 440000) / 250 = 560 TK.

Explanation:

If the length of a rectangular is increased by 20% and the width is decreased by 20% then the area. Correct Answer decreases by 4% let L = the original length and W = the original width; thus, the original area of the rectangle is LW and the new area is 1.2L x 0.8W = 0.96LW, so the area is decreased by = (LW - 0.96LW)/LW x 100% = 4%. ans: decreased  by 4%

Explanation:

A club has 8 male and 8 female members, the club is choosing a committee of 6 members. The committee must have 3 male and 3 female members. In how many ways can the committee chosen? Correct Answer 3,136 Since there are 8 male and female membersand we need to choose 3 members each for the committee,we could choose them as follows: 8c3∗8c3 = 562 = 3136

Explanation:

A field is rectangular and its width is 1/3 as long as its length. What is the area of the field if the length of the field is 120 yeards? Correct Answer 4,800 square yards length of the field 120 yards. Width = 120/3 = 40 yards. We know that, Area of the rectangle = Length × Width Area of the Field = 120 × 40                           = 4800 yard²

Explanation:

How much interest will Tk. 2,000 earn at an annual interest rate of 8% in one year, if the interest is compounded every six months? Correct Answer 163.20 Here, Principal, P = 2000 TK,  Rate of interest, r = 8%, Repetition of time period(1 year), t = 1 & Interest compounded (n = 2) times within a year(every six months). Compound interest, I = P(1 + r/n)nt - P = 2000(1 + (8/100)/2)(2x1) - 2000 = 2000(208/200)2 - 2000 = 163.2 TK

Explanation:

If Salam makes a box every 5 minutes and Kalam takes 7 minutes to make a box, what will be the ratio of the number of boxes produced by Salam to the number of boxes produced by Kalam if they work 5 hours and 50 minutes? Correct Answer 7 to 5 Q. If Salam makes a box every 5 minutes and Kalam takes 7 minutes to make a box, what will be the ratio of the number of boxes produced by Salam to the number of boxes produced by Kalam if they work 5 hours and 50 minutes?5 hrs and 50 mins = 350 mins∴ Salam can produce in 350 mins = 350/5 = 70 boxesand Kalam can produce in 350 mins = 350/7 = 50 boxes∴ Salam : Kalam = 70 : 50 = 7 : 5 (Ans:)