Explanation:

Two-third of the faculty members of a department are female. Twelve of the male teachers are unmarried, while 60% of them are married. The total number of faculty members in the department is : Correct Answer 90 Suppose, Total Member = Pfemale = 2P/3       male = 1-2P/3 = P/3P/3 * 40% = 12P * 40 3 * 100 = 12 P = 12 * 3 * 10040 P = 90Total Member = 90 (Ans.)

Explanation:

If nis any integer, which of the following is always an odd integer? Correct Answer 2n+1 If, n is an integer then 2n is always even integer. so, (2n + 1) is always an odd number.

Explanation:

per day wage rate of workers is reduced 50% due to economic slow down. After one year ,the wage rate is increased by 60% . If the per day wage rate before the decrease was Tk.. 100, then what is the per da y wage rate Now? Correct Answer 80 Per day wage rate before the decrease was Tk. 100 per day wage rate of workers is reduced 59%. So, wage rate is ( 100 - 50) = 50 After one year rate increased 60% = 50 + 50 of 60% = 50 + 50×.6 = 80

Explanation:

What is 30% of 11/45 of 150? Correct Answer 11 30%×1145×150=11

Explanation:

A carpet that measures 6 ft by 8 ft covers 60% of a floor. What is the area of the floor? Correct Answer 80 6ft * 8 ft = 48 ft260% area = 48  1% area = 4860 100% area = 48×10060                        = 80 ft2  (Ans.)

Explanation:

one third the sum of 13 and a certain number is the same as one more than twice the number.Find out the number. Correct Answer 2 Let, the number x 1/3 (13 + x) = 2x + 1 বা, 13 + x = 6x + 3 বা, 6x - x = 13 - 3 বা, 5x = 10 so, x = 2

Explanation:

If A and B are positive and A > B which of the following is true? Correct Answer -B/a> -A/B - B /A > - A/B

Explanation:

An empty pool is being filled with water at a constant rate. It takes 6 hours to fill 2/3rd of the pool. How much time will it take to completely fill the pool? Correct Answer 9 For filling 2/3 rd of the pool, it takes = 6 hoursfor filling complete portion, it takes = 6*32 = 9 hours (Ans.)

Explanation:

The average of 6 number is 9 , when one number is discarded the average of the remaining numbers becomes 7.2 . What is the discarded number? Correct Answer 18 Total of 6 number is 6×9 = 54 If 1 number is discarded then there are 5 numbers So, total of 5 number is 5×7.2 = 36 So the discarded number is = ( 54 - 36) = 18

Explanation:

What is the minimum number of sweets that must be added to an existing batch of 240 sweets, so that the total batch can equally be divided among 2,5 and 7 persons? Correct Answer 40 LCM of 2, 5 and 7 are = 70ভাজ্য = ভাজক*ভাগফল + ভাগশেষ240 = 70*3 + 30So, minimum number is required = 70 - 30 = 40 (Ans.)

Explanation:

dMr.Salam deposited Tk. 800 in a Bank at 15% annual compound interest rate. At the end of the second year, the total amount including the interest will be . Correct Answer 1058 Total amount including the interest . = 800 ( 1 + 15/100)2 = 1058

Explanation:

Saurabh has purchased a square sheet of plywood of 196 square feet area. To cover a wall he must cut of 3 feet from a side. What is the area, in square feet, of the wall? Correct Answer 154 Side of the plywood = √196 = 14 feet Shortest side of the wall = 14 - 3 = 11 feet Area of the wall = 14×11 =  154 sq. ft

Explanation:

x = 2y +3 and y= -2 , Quantity A =x and Quantity B = -1 Correct Answer The two quantities are equal x = 2y + 3 and y = - 2 So, x = 2 ( - 2) + 3 x = - 4 + 3 x = - 1 So, Quantity A = x = - 1 and B = - 1 are equal.

Explanation:

The average of 6 numbers is 25. If 3 more numbers, with an average of 22 are added to these numbers, what will be the average of the combined 9 numbers? Correct Answer 24 Sum of 6 numbers are = 25*6 = 150Sum of 3 numbers are = 3*22 = 66Sum of 9 numbers are = 150+66 = 216Average of 9 numbers are = 216/9                                                   = 24 (Ans.)

Explanation:

Sum of the two numbers is 21 and their difference is 7 . what is the half of the greater number? Correct Answer 7 Let, greater number is x and other is y x + y = 21 x - y = 7 ( + ) 2x = 28 x = 14 x/2 = 7

Explanation:

you can now buy 5 more Oranges with Tk. 75 due to reduction in rice by 20 percent Calculate the current price of one dozen of Oranges. Correct Answer 36 Shortcut method cost/price = given % /100 × total tk /no of more less × no of products for the cost Cost = 20/100×75/5 ×12 = 36

Explanation:

If b< 2 and 2x - 3b =0 , which of the following must be true? Correct Answer X> 3 2x - 3b = 0 2x = 3b 2x<6 x< 3

Explanation:

In a class composed of x girls and y boys what part of the class is composed of girls. Correct Answer x / ( x +y) No. of girls = x and no. of boys = y So, total class = x + y Part of the class composed of girls = x/(x + y)

Explanation:

If n and p are both odd numbers , which of the following must be an even number? Correct Answer n + p Addition of two odd numbers always be an even number.

Explanation:

If the length of a rectangle is increased by 20% and the width is decreased by 20%, the area is : Correct Answer decreased by 4% Let's assume the length of the rectangle is L and the width is W.Then the original area of the rectangle = L x WAfter the increase in length by 20%, the new length = L + 0.2L = 1.2LAfter the decrease in width by 20%, the new width = W - 0.2W = 0.8WSo, the new area of the rectangle = (1.2L) x (0.8W) = 0.96LWTherefore, the new area of the rectangle is 96% of the original area.Answer: 96% of the original area.decreased by 4%

Explanation:

In a sugar -water solution , the ratio of water to sugar is 8: 3 . If you add 2 kgs of sugar, the ratio becomes 2 :1 what was the amount of sugar in the original solution ? Correct Answer 6 W : S = 8 : 3 W/S = 8/3 3W = 8S Again, W/(s + 2) = 2/1 1W = 2s + 4 3W = 6S + 12 8S = 6S + 12 S = 6

Explanation:

If the price of apple is Tk. 80.00 a kilogram, and the price triples every 6 months, how long will it be untill the price of apple is Tk. 6480.00 a kilogram? Correct Answer 2 years If the price of apple is Tk. 80.00 a kilogram, and the price triples every 6 monthsThen,  every 6 months the price will be = 80 ×3= 240 After (6+6)=12 months it will be = 240×3 = 720After (12+6)=18 months it will be = 720×3= 2160After (18+6)=24 months it will be = 2160×3=6480So after 24 months or 2 years  it Will be 6480 taka

Explanation:

If a and b are positive integers and (a -b) /3.5 - 4/7 , then Correct Answer b< a (a - b)/ 3.5 = 4/7 = 7 ( a - b) = 4×3.5 = a - b = 14/7 a - b = 2 So, a is greater than b.

Explanation:

An employer pays 3 workers X, Y and Z a total of Tk. 36,600.00 a week. X is paid 125% of the amount Y is paid and 80% of the amount Z is paid. How much does X make a week? Correct Answer 12,000 X = 125%Y               X = 80%Z X = 125×Y100             X =    80×Z100 X = 5Y4                     X =    4Z5 Y = 4X5               Z =    5X4  X + Y + Z = 36600 X + 4X5 + 5X4 = 36600 20X + 16X + 25X20 = 36600 X = 12000 (Ans.)

Explanation:

The width of a rectangular field is 1/3 as long as its length. What is the area of the field if the length of the field is 120 yards? Correct Answer 4,800 square yards length = 120 yardswidth = 120 * ⅓ = 40 yardsarea of rectangular fields  = 120*40                                                    = 4800 square yards

Explanation:

Three individuals contributed Tk. 8,000.00 each toward the puchase 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:

Of the following, which is greatest? Correct Answer 126/250 12=0.5 715=0.46 49100=0.49 126250=0.504last one is largest

Explanation:

When a certain number is divided by 7, the remainder is 0. But the remainder is not 0 when the number is divided by 14, then the remainder must be ---- 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:

One dozen eggs and ten pounds of apples are currently 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 pound 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:

The sum of 6 consecutive odd numbers exceeds twice the largest by 38. Find the sum of the six numbers. Correct Answer 72 Let x represent the smallest number. Then the other number are x + 2, x + 4, x + 6, x + 8 and x + 10. x + 10 is the largest. The sum of these is 6x + (2 + 4 + 6 + 8 + 10) = 6x + 30 We are told that this is 38 greater than twice the largest, so 6x + 30 = 2(x + 10) + 38 = 2x + 58. or, 4x = 28 ∴x = 7 Then the sum is 6×7 + 30 = 72.

Explanation:

If 4 is subtracted from one-fourth of a number, the result is 20. Which of the following is the number. Correct Answer 96 Let the number be X. ATQ, X/4 - 4 = 20 or, X/4 = 20 + 4 or, X = 24 x 4 = 96

Explanation:

The difference between two numbers is 7 and their product is 60, then one of the two numbers must be --- Correct Answer 5 x - y = 7; x = (y + 7) xy = 60 or , (y + 7).y = 60 or, y² + 7y - 60 = 0 or, (y + 12) (y – 5) = 0 So, Y = - 12,5 So, the two number is 12 and 5

Explanation:

A coat was sold for Tk 75. The coat was sold for 150% of the cost of the coat. How much did the coat cost? Correct Answer Tk. 50 Let the cost of the coat be X. Then,  150% of X = 75 or,  150/100 of X = 75 or,  X = 75×100/150 =  50 TK

Explanation:

If the value of XYZ Company stock drops from Tk. 25 per share to Tk. 21 per share, What is the percent of the decrease? Correct Answer 16% Percentage of decrease in share value = (25 - 21)/25×100% = 16%

Explanation:

A and B together can paint a wall in 3 days. A can do it alone in 5 days. How many days would it take B to do this job alone? Correct Answer 7.5 A and B together in 1 day can paint  1/3 of the wall A alone in 1 day can paint 1/5 of the wall Then, B alone can paint (1/3 - 1/5 = 2/15) of the wall in 1 day So, B alone can paint the wall in 15/2 = 7.5 days

Explanation:

A cake is divided into 18 pieces. If Rehana takes 1/3 of the cake and Rahim takes 1/3 of the rest that are left, how may pieces are still left? Correct Answer 8 rehana took = 1/3 of 18 pieces = 6 pieces ramaining = 12 pieces rahim took 1/3 of 12 pieces = 4 pieces total remaining = 12 - 4 = 8 pieces

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:

If the average of two numbers is M, and the larger number is L, what is the other number? Correct Answer 2M-L average of two numbers is M one number is L let second number be X average = L + X/2 = > M = L + X/2 = > 2M = L + X = > 2M - L = X therefore,second number is 2M - L

Explanation:

A mixture of 17 parts of A, 3 parts of B and 4 parts of C weight 72 gm. How many gm of substance B are in the mixture? Correct Answer 9 Total parts = 17+3+4 = 2424 parts = 72 gm1 parts = 72/24 = 3gmnow, total substances of B = 3B = 3*3 = 9 (Ans.)

Explanation:

B and C are points on the straight line AD, on which AB=BC=CD. What percent of AC is AD? Correct Answer 150% Here, AB + BC + CD = AD or,  AB + AB + AB = AD or,  3AB = AD Again,  AB + BC = AC or, AB + AB = AC or, 2AB = AC Now,  AD/AC = 3AB/(2AB) or,  AD = 3/2×100% of AC = 150% of AC

Explanation:

If (3x + 2y) = 8 and (2x - y) = 3 find the value of 'x'. Correct Answer 2 Here,  2x  - y = 3 or,  y = 2x - 3 Again,  3x + 2y = 8 or,  3x + 2(2x - 3) = 8 or,  3x + 4x - 6 = 8 or,  7x = 8 + 6 = 14 or,  x = 14/7 = 2

Explanation:

The average weight of 3 young men is 53 kg. No one of them weighs less than 51 kg. What is the maximum weight of any one man? Correct Answer 57 The total weight of them = 53×3 = 159 kg Minimum weight possible for any 2 of them = 51×2 = 102 kg Maximum weight of any 1 of them = 159 - 102 = 57 kg

Explanation:

If 18 identical machines required 40 days to complete a job, how many fewer days would have been required to the job if 6 additional machies of the same type had been used from the beginning? Correct Answer 10                 ১৮ টা মেশিনের লাগে = ৪০ দিন                ১ টা মেশিনের লাগে = ৪০ * ১৮ দিন(১৮+৬) বা ২৪ টা মেশিনের লাগে = ৪০ * ১৮২৪ = ৩০ দিনঅতএব, দিন কম লাগবে = ৪০ - ৩০ = ১০ দিন (উত্তর)

Explanation:

The floor of a company's office has an area of 20,000 square feet. If the floor is in the shape of a square, approximately how many feet long is each side? Correct Answer 140 If the floor of a company's office has an area of 20,000 square feet and is in the shape of a square, then each side of the square can be found by taking the square root of the area. Therefore, the approximate length of each side is:sqrt(20,000) = 141.42 feetRounding to the nearest whole number, each side of the square is approximately 141 feet. Therefore, the answer is "140."

Explanation:

In a shipment of 120 machine parts, 5 percent were defective. In a shipment of 80 machine parts, 10 percent were defective. For the two shipments combined, what percent of the machine parts were defective? Correct Answer 7% Defective parts in the shipment of 120  = 5% of 120 = (5/100) ×120 = 6 Defective part in the shipment of 80 = 10% of 80  = (10/100)​ ×80 = 8 ∴ Total machine parts = 120 + 80 = 200 Total defective parts = 6 + 8 = 14 % of defective parts = {(14/200)×100}% = 7%