Explanation:

If x = 2y = 3z = 36 then the arithmetic mean of x, y, z is : Correct Answer 22 Here,  y = x/2  and  z = x/3  and x = 36. So, the arithmatic mean of x, y & z = (x + y + z)/3 = (x + x/2 + x/3)/3 = 11x/18 = 11 x 36/18 = 22. [Alternative: x = 36,   y = 36/2 = 18,    z = 36/3 = 12 So, mean of x,  y,  z  = (36 + 18 + 12) / 3 = 22]

Explanation:

Which one is the longest? Correct Answer meter The metre or meter is the base unit of length in the International System of Units. The SI unit symbol is m. The metre is currently defined as the length of the path travelled by light in a vacuum in 1/299 792 458 of a second.

Explanation:

Out of the 30,000 tickets for the cricket tournament in Dhaka, 1/4 were sold at Tk. 300, 1/3 were sold at Tk. 250 and the rest were sold for Tk. 125. How many tickets were sold at Tk. 125? Correct Answer 12,500 Fraction of ticket sold at TK. 125 = 1 - (1/4 + 1/3) = 1 - 7/12 = 5/12 So, number of tickets sold at TK. 125 = (5/12) x 30000 = 12500.

Explanation:

A car travels 180 km from A to B at 60 kilometers per hour and returns from B to A along the same route at 90 kilometers per hour. The average speed, in kilometers per hour, for the round trip is : Correct Answer 72 Time taken in travelling from A to B = 180/60 = 3 hour Time taken in travelling from B to A = 180/90 = 2 hour Total time taken = 3 + 2 = 5 hour. Average speed = 2 x 180 / 5 =  72 km/hr

Explanation:

If y = (3x-6)/x, for what values of x, will be positive? Correct Answer x>2 or x here, y=3x-6xto make y positive, lets check the options. if x=3 then y=1 and if x=-3 then y=5so the answer is x>2 or x<0

Explanation:

Half of the students of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school? Correct Answer 900 Fraction of students playing football = 1/2 Fraction of students playing cricket = 1/3 x 1/2 = 1/6 Fraction of students not playing either of the games = 1 - (1/2 + 1/6) = 1/3 If 1/3 of total students = 300 Then, number of total students = 300 x 3/1 = 900.

Explanation:

The average weight for a group of 20 women is 130 pounds. If the average weight for 75% of these women was 140 pounds, what was the average weight, in pounds, for the rest of the women? Correct Answer 100 Total weight of 20 women = 20 x 130 = 2600 pounds Total weight of 75% of 20 = 15 women = 15 x 140 = 2100 pounds Total weight of the rest 5 women = 2600 - 2100 = 500 pounds Then, the average weight of these 5 women = 500/5 = 100 pounds.

Explanation:

Shahin has purchased a square sheet of plywood of 169 square feet area. To cover a wall he must cut off two feet from a side. What is the area, in square feet, of the wall? Correct Answer 143 Side of the plywood = √169 = 13 feet Cutting of 2 feet from a side will make it a rectangular sheet with a length of 13 feet and a width of 11 feet. Area of the wall is equal to the area of this sheet. So, the area of the wall = 13 x 11 =  143 sq ft

Explanation:

A farmer has two rectangular fields. The larger has twice the length and four times the width of the smaller 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 and width of the smaller field be L & W respectively. Area of the smaller field,  k = L x W Area of the larger field = 2L x 4W = 8(L x W) = 8k. So, the area of the larger field is larger by (8k - k) = 7k than the smaller field.

Explanation:

Two third of the faculty members of a department are female. Twelve of the male faculty members are unmarried, while 60% of them are married. The total number of faculty members in the department is : Correct Answer 90 Male members = 1 - 2/3 = 1/3 40% of the male members are married. Married male members are 1/3 x 40% = 13.33% of all members. 13.33% = 12 members 100% = 12 x 100 / 13.33 ≈ 90 members

Explanation:

What are all the values of x that satisfy the equation x2+4x+3 = 0? Correct Answer -3 and -1 Here, x2 + 4x + 3 = 0   or, x2 + 3x + x + 3 = 0 or, x(x + 3) + 1(x + 3) = 0 or, (x + 3)(x + 1) = 0 So,  x + 3 = 0   or, x + 1 = 0 or, x = - 3, - 1

Explanation:

A man 6 feet tall casts a shadow 4 feet long, at the same time a flagpole casts a shadow which is 50 feet long. How long is the flagpole? Correct Answer 75 feet ATQ, 6 = h   4 50 (Assuming 'h' be the height of flag pole)   ⇒ h = 50 × 6 = 75 feet 4 ans: 75 feet

Explanation:

In Rajshahi 5 adults are unemployed for every 120 who have jobs. Out of 2,125 adults how many have jobs? Correct Answer 2040 Out of every 125, number of job holder = 120 So, out of 2125, number of job holders = 120 x 2125 / 125 = 2040.

Explanation:

One-fourth of the students of a school play cricket and two-third of the rest play football. The remaining 400 students do not play either of the games. How many students are there in the school? Correct Answer 1600 Fraction of students playing cricket = 1/4 Fraction of students playing football = 2/3 of (1 - 1/4) = 2/3 x 3/4 = 2/4 = 1/2 Fraction of remaining students = 1 - (1/4 + 1/2) = 1 - (1 + 2)/4 = 1 - 3/4 = 1/4 ATQ,  1/4 of the students = 400 So, total number of students = 400 x 4 = 1600.

Explanation:

How many pupils can be seated in a room with N single chairs and B double seated benches? Correct Answer 2b + n In 1 single chair seated 1 Man So, in n single chair seated  = 1 × n= n Managain,       In 1 bench seated 2 ManSo, In b bench seated = 2 × b= 2b Man So Total number of Man can be seated in this classroom is = 2b + n Ans: 2b + n

Explanation:

How many tiles each 1 foot square are necessary to form a 1 foot border around the inside of a room 24 feet by 14 feet? Correct Answer 72 We have to form a border around the room of 24 * 14.  Also, since room is 24 feet wide in length, we can place 24 tiles on both the sides.  that makes it 48. we are left with width which is 14 feet.  But out of that we have already placed tiles in 2 feet on both the side while filling up the place for length.  So what we are left with is = 14 + 14 - 2 - 2 = 24 and 24 + 48 = 72 ans: 72

Explanation:

There are 8 job applicants sitting, in waiting room, 4 women and 4 men. If two of the applicants are selected at random, what is the probability that both will be women? Correct Answer 3/12 এখানে, প্রথম Selection এ 8 জন Job applicants থেকে 1 জন Woman আসার Probability = 4/8 = 1/2   আবার, প্রথবার Woman আসার পর দ্বিতীয় বার Total 8 জন থেকে একজন কমে (8 - 1) = 7 জন হবে এবং   সেক্ষেত্রে Woman একজন কমে হবে (4 - 1) = 3 জন ।   দ্বিতীয় বার 7 জন Job applicants থেকে 1 জন Woman আসার Probability = 3/7   পরপর শুরুতে দুইজনই Woman আসার মোট Probability =  12×37 = 314

Explanation:

A triangle has a base x and an altitude y. A second triangle has a base twice the altitude of the first triangle, and an altitude twice the base of the first triangle. What is the area of the second triangle? Correct Answer 2xy a triangle has a base x and an altitude y   A second triangle has a base twice the altitude of the first triangle = 2x and an altitude twice the base of the first triangle = 2y ∴Area of 2nd triangle = (1/2)(2x)(2y) = 2xy  ans: 2xy

Explanation:

Today Jim is twice as old as Fred and Sam is 2 years younger than Fred. Four years ago Jim was 4 times as Sam. How old is Jim now? Correct Answer 20 let J, S, and F = the current age of Jim, Fred, and Sam, respectively and create the equations:J = 2FAndS = F - 2S + 2 = FAndJ - 4 = 4(S - 4)J - 4 = 4S - 16J = 4S - 12Since J = 2F we have:2F = 4S - 12F = 2S - 6Since S + 2 = F, we have:S + 2 = 2S - 68 = S, so J = 4 x 8 - 12 = 20.Answer: 20

Explanation:

A 60-gallon tank is 60% full of water. If 50% of the water is poured in a 90-gallon tank, what percent of the 40-gallon tank is filled? Correct Answer 20 quantity of water in 60g tank = 60x60% = 36g. water pured in 90g tank = 36x50% = 18g. percentage filled = 18*100/90 = 20% ans:20%

Explanation:

The XYZ Corporation sells pens, pencils, and erasers. The pens make up 2/5 of all sales, the pencils 1/10 of pens and the erasers 1/2 of pens and pencils together. What percentage of all sales is for eraser? Correct Answer 22% Percentage of pen sales = 2/5 x 100% = 40% of all sales Percentage of pencil sales = 1/10 of 40% = 4% of all sales Percentage of eraser sales = 1/2 of (40 + 4)% = 22%  of all sales.

Explanation:

After working for a total of 4 hours at temporary job we were told that we had just completed 1/4 of the task. How much longer in hour should it take us to finish the entire job? Correct Answer 16 remaining work = (1 - 1/4) = 3/4 part 1/4 part can be finished in 4 hrs 1 part can be finished = 4x4 hrs 3/4 part can be finished = 4x4x3/4 = 12 hrs so, total time required = 12 + 4 = 16 hrs ans: 16 hrs

Explanation:

A man buys eggs at the rate of Tk. 7.2 per dozen eggs and sells them at taka 70 per 100 eggs. If his profit is Tk. 30, how many eggs did he buy? Correct Answer 300 Let the number of eggs he bought be D. Buying price per egg = 7.2/12 Selling price per egg = 70/100 So,   70D/100 - 7.2D/12 = 30 or,   7D/10 - 7.2D/12 = 30 or, (42D - 36D) / 60 = 30 or,  6D = 60 x 30 or, D = 1800 / 6 =  300.

Explanation:

If 3x-4y>2x+3y, then which of the following must be true? Correct Answer x>y Here, 3x - 4y>2x + 3y or, 3x - 2x > 3y + 4y or, x > 7y So, the statement x>y must be true.

Explanation:

Half the graduating class of a college was accepted by a business school. One-third of the class was accepted by a law school. It one-fifth of the class was accepted by both types of school, what fraction of the class was accepted only by a law school? Correct Answer 2/15 Fraction of the class accepted by a law school = 1/3 Fraction of the class accepted by both types of school = 1/5 Fraction of the class accepted only by a law school = 1/3 - 1/5 = 2/15

Explanation:

Two-thirds of the teachers of high school are women, twelve of the male teachers are unmarried while 3/5 of the male teachers are there in the school? Correct Answer 90 Let, total members are x then female members are 2x/3 So,  male members are = x  2x/3 = x/3  ATQ, 12 teachers are unmarried Or, (100 - 60)% = 40% = 12 So, 100% = 12*100/40 = 30  Again, x/3 = 30 Or, x = 90  Now, total faculty members are 90  Answer:90

Explanation:

Mr. Arif left Tk. 50 lac to his three sons-Abu, Bony and Chinu. The money was distributed amongst the sons in such a way that for every 1 Tk. Abu received, Bony received Tk. 1.5 and Chinu received Tk. 2.5. How much money did Bony receive? Correct Answer Tk. 15 lac Abu : Bony : Chinu = 1 : 1.5 : 2.5 So, Bony received = 1.5 / (1 + 1.5 + 2.5) x 50 = 15 lac.

Explanation:

A car passes Dhaka at 9:55 am and Gazipur at 10:15 am. Gazipur is 30 miles from Dhaka. What is the average speed of the car in miles per hour? Correct Answer 90 Time spent = 9:55am to 10:15am = 20 minutes = 1/3 hours. Average speed = 30 / (1/3) =  90 miles per hour

Explanation:

How many spokes are there in a wheel of a sports car, if any two consecutive spokes form an angle of 15 degree? Correct Answer 24 All the spokes will form a total angle of 360°. Two consecutive spokes form an angle of 15° but every spoke takes part in forming two such angles. So, the number of spokes will be equal to the number of 15° angles formed. So, the number of spokes will be = 360/15 = 24

Explanation:

Jennifer purchased 140 shares of a stock at Tk. 135.50 per share and paid a commission of 0.6%. What was her total investment in taka? Correct Answer 19,083.82 Cost of total shares = 135.5 x 140 = 18970 TK. Commission = 18970 x 0.6 / 100 = 113.82 TK. So, Total investment = 18970 + 113.82 =  19083.82 TK.

Explanation:

Muzahid wants to borrow Tk. 2,00,000 from a bank. The amount with interest rate of 15% is to be repaid 18 months from now. How much will be the repayment amount? Correct Answer Tk. 2,45,000 here, r = 15/100 t = 18/12 yr so,Interest, I = (200000×15×18)/(12×100)       = 45000 tk so, total repayment amount = 200000 + 45000     = 245000tk ans: 245000tk

Explanation:

Aslam drove west 10 miles, south 5 miles, west 30 miles and north 35 miles to avoid paying a toll on a direct road. What is the length of the toll road in miles? Correct Answer 50 Aslam drove west 10 miles, south 5 miles, west 30 miles, and north 35 miles = west 40 miles, north 30 so we get, (30)2 + (40)2 = n2 or,900 + 1600 = n2 or,2500 = n2 ∴n = 50 or - 50 Throwing out the negative answer, we get the distance to be 50 miles ans: 50 miles