Explanation:

If 50% of x is 75% of y, which of the following is equal to x+y? Correct Answer 2.5y Here, 50% of x = 75% of y or, x = 75y / 50 or, x = 3y/2 Now,  x + y = 3y/2 + y = 5y/2 = 2.5y

Explanation:

একটি জারে দুধ ও পানির অনুপাত ৫:১। দুধের পরিমাণ যদি পানি অপেক্ষা ৮ লিটার বেশি হয় তবে পানির পরিমাণ কত? সঠিক উত্তর ২ লিটার দেওয়া আছে, দুধ : পানি = 5 : 1=> পানি = 15দুধ ………(i)দুধ = পানি + 8সুতরাং পানি = 15(পানি + 8)=> 5 X পানি = পানি +8=> পানি = 2 লিটার

Explanation:

If 15 is 3/4 of x and y = .45x, then y=? Correct Answer 9 Here,  3/4 of x = 15 or,  x = 15 x 4 / 3 = 20 Now,   y = 0.45x or,   y = 0.45 x 20 =  9

Explanation:

When positive integer m is divided by positive integer n, the remainder is 6. If m/n = 112.15 what is the value of n? Correct Answer 40 Here, divident is m, divisor is n, quotient is 112 and remainder is 6. Again, m/n = 112.15  or,  m = 112.15n Now,   divident = divisor x quotient + remainder or,   m = n x 112 + 6 or,  112.15n = 112n + 6 or,   112.15n - 112n = 6 or,   0.15n = 6 or,   n = 40

Explanation:

If the sum of five consecutive positive integers is A, then the sum of the next five consecutive integers in terms of A is : Correct Answer A + 25 The sum of five consecutive positive integers is A, next 5 consecutive will gain additional 5*5 = 25,  so the sum of the next five consecutive integers in terms of A is = A + 25 ans: A + 25

Explanation:

The average income of 10 BBA graduates is Tk. x. The individual income of 5 MBA graduates is Tk. 100y each. What is the average income of these 15 graduates? Correct Answer (10x+500y)/15 Total income of BBA graduates = 10x Total income of MBA graduates = 5 x 100y = 500y Average income of all of the graduates = (10x + 500y) / (10 + 5)                                                                 = (10x + 500y) / 15

Explanation:

If d= c-b/a-b, then b =? Correct Answer adc-1/d-1 D = c-b/a-bor, ad-bd = c-bor, b-bd = c-ador, b(1-d) = c-ador, b= (c-ad)/(1-d)

Explanation:

Tk. 1000 is divided among A, B and C so that A has twice as much as B and B has thrice as much as C. How much did B receive? Correct Answer 300 Here,   A : B = 2 : 1 = (2 x 3) : (1 x 3) = 6 : 3 And,  B : C = 3 : 1 So,   A : B : C = 6 : 3 : 1 B received = 3 / (6 + 3 + 1) x 1000 = 300 TK.

Explanation:

A room contains 200 people, 25% of whom are graduates. A group of people, 30% of whom are graduates, leave the room. Of the remaining people, 10% are graduates. How many people did leave the room? Correct Answer 150 Let the number of people leaving be L. Remaining people = 200 -  L Total graduates = 25% of 200 = 50 Leaving graduates = 30% of L  = 0.3L Remaining graduates = 50 - 0.3L ATQ,  10% of (200 -  L) = 50 - 0.3L or,  20 - 0.1L  = 50 - 0.3L or,  0.3L - 0.1L = 50 - 20 or,  0.2L = 30 or,  L = 30 / 0.2 = 150

Explanation:

There are three different roads from Shah Bag to Farm Gate and 4 different roads from Farm Gate to Banani. How many different routes are there from Shah Bag to Banani via Farm Gate? Correct Answer 12 At the end of each different road from Shahbag to Farmgate, there is 4 different ways to go to Banani. So, total number of routes from Shahbag to Banani is 3 x 4 = 12.

Explanation:

In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science? Correct Answer 27 Students opted for Math or Science, n(M U S)  = 50 - 2 = 48 Students opted for Math, n(M)  = 50 - 15 = 35 Students opted for Science, n(S)  = 50 - 10 = 40 Students opted for both Math and Science n(M ∩ S)  =  n(M) + n(S) - n(A U B)  = 35 + 40 - 48 = 27

Explanation:

How many tiles, each a square tile of 2 inch sides, are needed to cover a rectangle floor of 4 feet long and 6 feet wide? Correct Answer 864 Measurements of the floor are 4 feet or 48 inches and 6 feet or 72 inches. So, area of the floor = 48 x 72 = 3456 sq in Area of each tiles = 2 x 2 = 4 sq in Number of tiles needed = 3456/4 =  864

Explanation:

A South American visitor was confused to read that the next day's temperature would be 77 degree Fahrenheit. Translate that into Celsius for him with this formula C = 5/9 *F-32? Correct Answer 25 Temperature in Fahrenheit, F = 77°F Temperature in °C = 5/9 x (F - 32) = 5/9 x (77 - 32) = 25°C

Explanation:

A certain machine produces 1,000 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 7 days? Correct Answer 168,000 7 days consist of = 24*7 hours = 168 hours. Since every hour the machine produces 1000 units of product P, the total product during 168 hours is = 1000 x 168 = 168,000.

Explanation:

If n is an even integer which of the following must be an odd integer? Correct Answer 3(n+1) If n is an even integer then n + 1 must be an odd integer. Product of two odd integers is always an odd number. So, 3(n + 1) must be an odd number.

Explanation:

If (x+3y)=15 and x=-1.5y, then x=? Correct Answer -15 Here. x = - 1.5y or,  x = - 3y/2 or,  y = - 2x/3 Now,  x + 3y = 15 or,   x + 3( - 2x/3) = 15 or,  x - 2x = 15 or,  - x = 15 SO,  x = - 15

Explanation:

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices? Correct Answer 8 Two offices can be filled in two ways, when all the three employee will be in same room or when two employee in one room and one in other room. when all the three employee will be in same = 3C3 * 2! = 2 (2!, because any of the room can be taken) when two employee in one room and one in other room. = 3C2 * 1C1 * 2! = 6 Hence total ways = 6 + 2 Answer is 8.

Explanation:

How much salt must we add to 10 grams of a 20% salt solution to strengthen it into a 50% solution? Correct Answer 6 gm Let the amount need to be added be x grams. So,  x + 20% of 10 = 50% of (10 + x) or,  x + 2 = 5 + 0.5x or,  x - 0.5x = 5 - 2 or,  0.5x = 3 So,   x = 6 grams

Explanation:

You are to arrange 36 identical chairs in rows such that there is same number of chairs in each row. Each row must contain at least 4 chairs and there must be at least 3 rows. How many different arrangements are possible? Correct Answer 4 4 chairs in 9 rows = 36 chairs 6 chairs in 6 rows = 36 chairs 9 chairs in 4 rows = 36 chairs 12 chairs in 3 rows = 36 chairs - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - So, total ways = 4

Explanation:

The probability that a student will graduate with honors and get a good job is 0.09 whereas the probability that a student will graduate with honors is 0.1. What is the probability that a student will get a good job if she graduates with honors? Correct Answer 90% Probability of graduating with honors, P(H) = 0.1 Probability of graduating with honors and getting a good job, P(H∩J) = 0.09 Probability of getting a good job if she graduates with honor, P(J/H) = P(H∩J)/P(H) x 100% = 0.09/0.1 x 100 = 90%

Explanation:

If 10 students scored 61, how many students scored 62 or more marks? Correct Answer 25 There is given a table of Mark distribution 35-48, 49-60, 61-75, 76-88, 89-100No. Of students: 11, 25, 21, 9, 5Solution : Given that 10 students score 61, then rest (21-10)=11 students scores range 62 to 75.Though 76 to 100 are more than 62, so we took the number of rest students. So, total number of students who score 62 or more is (11+9+5)=25.Our answer is 25.

Explanation:

If x-3y=3 and 2x+9y=11, then what are the values of x and y? Correct Answer 4, 1/3 x - 3y = 3    or,   x = 3y + 3 - - - - - - - (i) 2x + 9y = 11 or,   2(3y + 3) + 9y = 11 or,   6y + 6 + 9y = 11 or,   15y = 11 - 6 or,    y = 5/15 = 1/3 Now,   x = 3y + 3 = 3 x 1/3 + 3 = 4 So, (x, y) = (4, 1/3).

Explanation:

'C' is the midpoint of the line segment AE. Points B and D are on the line segment AE so that AB=BC and CD=DE, what percentage of AC is AD? Correct Answer 150 Here, B is the midpoint of AC and D is the midpoint of CD. So, AB = BC = CD = DE Now,  AC = AB + BC = 2AB And,   AD = AB + BC + CD = 3AB = 3/2 x 2AB = 3/2 AC So, AD = 3/2 x 100% of AC = 150% of AC.

Explanation:

A tank is 30% full with water. If 18 liters of water is added, the tank becomes 3/4 full. What is the capacity of the tank? Correct Answer 40 3/4 ≡ 3/4 x 100% = 75% Change in  = 75% - 30% = 45% Now,   45% capacity = 18 liter So,  100% capacity = 18 x 100 / 45 =  40 liter

Explanation:

some zings are zangs. Some zangs are zongs. Which of the following can we conclude for sure? Correct Answer Some zangs are zings Here, Zing=zang zang=zongso  zang cant be zing

Explanation:

Starting from point A, Kashem walked 300 meters towards North to B and then walked another 400 meters towards East to C. What is the shortest distance between C and A? Correct Answer 500 Points A, B & C make a right - angled triangle. The shortest distance between C & A is CA. Now,  CA = (AB2  + BC2)1/2  = (3002 + 4002)1/2 = 500 m

Explanation:

If x>w, y>q, s>w, and w>y, which of the following must be true? 1. x>s 2. s>q 3. x>y Correct Answer 2 and 3 We can make the following deductions from the given information:Since x > w and w > y, we can conclude that x > y.Since y > q, we can conclude that s > q.Since s > w and w > y, we can conclude that s > y.Therefore, the statements that must be true are:x > s or s > x (We cannot determine the relationship between x and s based on the given information. Therefore, this statement is not necessarily true.)s > q (This statement is true based on the given information.)x > y (This statement is always true based on the given information.So, the correct answer is options 2 and 3.

Explanation:

A mechanic repairs 4 cars in 5/3 hours. How many cars can he repair in 50 minutes? Correct Answer 2 5/3 hours = 5 / 3 x 60 = 100 minites In 100 minutes he repairs 4 cars In 50 minutes he repairs 2 cars.

Explanation:

একটি চৌবাচ্চার দুটি নল আছে। একটি নল চৌবাচ্চাটিকে ৪০ মিনিটে ভর্তি করতে পারে এবং অপরটি এক ঘন্টায় খালি করতে পারে। উভয় নল এক ষাথে খুলে দিলে কতক্ষণে চৌবাচ্চাটি ভর্তি হবে? সঠিক উত্তর ২ ঘন্টা প্রথম নল ১ মিনিটে পূর্ণ করে চৌবাচ্চার ১/৪০ অংশ দ্বিতীয় নল ১ মিনিটে খালি করে চৌবাচ্চার ১/৬০ অংশ দুটি নল একসাথে ১ মিনিটে পূর্ণ করে চৌবাচ্চার (১/৪০ - ১/৬০) = ১/১২০ অংশ নলদ্বয় দ্বারা ১/১২০ অংশ পূর্ণ হয় ১ মিনিটে নলদ্বয় দ্বারা সম্পূর্ণ বা ১ অংশ পূর্ণ হয় ১২০ মিনিটে = ২ ঘণ্টায় [শর্টকাটঃ সময় = (৬০ x ৪০) / (৬০ - ৪০) = ১২০ মিনিট = ২ ঘণ্টা]

Explanation:

৮, ১১, ১৭, ২৯, ৫৩ .............. ধারাটির পরবর্তী সংখ্যা কত? সঠিক উত্তর ১০১ ৮ + ৩ = ১১ ১১ + ৬ = ১৭ ১৭ + ১২ = ২৯ ২৯ + ২৪ = ৫৩ ৫৩ + ৪৮ = ১০১

Explanation:

৫৩৫ টাকায় একটি জামা বিক্রি করায় ৭% লাভ হয়। জামাটি কত টাকায় বিক্রি করলে ২০% ক্ষতি হবে? সঠিক উত্তর ৪০০ টাকা ৭% লাভে বিক্রয়মূল্য (১০০ + ৭) বা ১০৭ টাকা হলে ২০% ক্ষতিতে বিক্রয়মূল্য (১০০ - ২০) বা ৮০ টাকা ৭% লাভে বিক্রয়মূল্য ৫৩৫ টাকা হলে ২০% ক্ষতিতে বিক্রয়মূল্য ৮০ x ৫৩৫ / ১০৭ = ৪০০ টাকা

Explanation:

একটি বাঁশের এক-পঞ্চমাংশ সাদা, এক-তৃতীয়াংশ কালো, এক-দশমাংশ লাল ও বাকি অংশ সবুজ। সবচেয়ে বেশি কোন অংশ? সঠিক উত্তর কালো সাদা অংশ = ১/৫ = ৬/৩০ কালো অংশ = ১/৩ = ১০/৩০ লাল অংশ = ১/১০ = ৩/৩০ সবুজ অংশ  = ১ - (১/৫ + ১/৩ + ১/১০) =  ১১/৩০ সুতরাং, সবুজ অংশ সবচেয়ে বেশি।

Explanation:

A truck driver must complete a 180 mile trip in 4 hours. If he drives average 50 miles an hour 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:

একটি ট্রেনের গতি ঘন্টায় ৭৫ কি.মি। ট্রেনটির দৈর্ঘ্য ১৮০ মি. হলে, ৩২০ মি. দীর্ঘ একটি প্ল্যাটফর্ম অতিক্রম করতে ট্রেনটির কত সময় লাগবে? সঠিক উত্তর ২৪ সেকেন্ড ৭৫ কি.মি. / ঘণ্টা = ৭৫/৩.৬ মিটার/সেকেন্ড মোট দৈর্ঘ্য = ১৮০ + ৩২০ = ৫০০ মিটার সময় = দূরত্ব / বেগ = ৫০০ / (৭৫/৩.৬) = ৫০০ x ৩.৬ /৭৫ = ২৪ সেকেন্ড

Explanation:

The assessed value of a house is $72,000. The assessed value is 60% of the market value of the house. If taxes are $3 for every $1,000 of the market value of the house, how much are the taxes on the house? Correct Answer $360 60% of market value = $72,000 So, 100% market value = $72,000 x 100 / 60 = $120,000 Tax amount = $120,000 / $1000 x $3 =  $360

Explanation:

A vertical pole 6 feet high casts a shadow of 4 feet long. At the same time a tree casts a shadow of 64 feet long. What is the high of the tree, in feet? Correct Answer 96 The ratio of the pole's height to its shadow is 6 to 4.   The ratio of the tree's height to its shadow is x to 64.   Equate the ratios,   6/4 = x/64   or,4x = 6*64   or,4x = 384    or,x = 384/4   ∴ x = 96   Answer: 96 feet tall

Explanation:

1-1-2-3-5-8-13 what number should come next in the series? Correct Answer 21 1 + 1 = 2 1 + 2 = 3 2 + 3 = 5 3 + 5 = 8 5 + 8 = 13 8 + 13 = 21 So, the next number in the series should be 21.

Explanation:

Ralph likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145.Which does he likw- Correct Answer 1600 Hints': Ralph প্রকৃতপক্ষে যে সংখ্যাগুলোর বর্গ আছে সেই সংখ্যাগুলোর পছন্দ করছে। সংখ্যাগুলে হলো 52 = 25 ; (20)2 = 400 ; (12)2 = 144। সুতরাং উল্লেখিত অপশন গুলোর মধ্যে পছন্দ করে 1600 ; যায় বর্গ (40) 2 = 1600

Explanation:

If 194 means AID, BEFF means what? Correct Answer None of these Hints: AID = 194 ; যেখানে A = 1, I = 9 এবং D = 4 সুতরাং BEEF = 2566 ; যেখানে B = 2, E = 5, এবং F = 6। উল্লেখিত অপশনে সঠিক উত্তর নাই

Explanation:

If you rearrange the letters "LNGEDNA" you have name of a(n)- Correct Answer Country Hints - LNGEDNA কে rearrange করলে পাই ENGLAND ; যা একটি দেশের নাম। সঠিক উত্তর - country.

Explanation:

Father is aged 3times more than his son Ronit. After 8years, he would be two and a half times of Roni's age. After further 8years,how many times would he be of Ronit's age? Correct Answer 2times ব্যাখাঃ ধরি, পুত্রের বয়স = ক বছর পিতার বয়স = ক + ৩ক = ৪ক বছর প্রশ্নমতে, ( ক + ৮) ২.৫ = ৪ক + ৮ বা, ২.৫ ক + ২০ = ৪ক + ৮ বা, ১.৫ ক = ১২ ক = ১২/১.৫ = ৮ ৮ বছর পর পুত্রের বয়স = ৮ + ৮ = ১৬ বছর ৮ বছর পর পিতার বয়স = ( ৪×৮) + ৮ = ৪০ বছর আবারও, ৮ বছর পরে পুত্রের বয়স = ১৬ + ৮ = ২৪ বছর ৮ বছর পর পিতার বয়স = ৪০ + ৮ = ৪৮ বছর সুতরাং, পিতার বয়স পুত্রের বয়সের দ্বিগুন।

Explanation:

The average age of husband,wife and their child 3years ago was 27 years and that of wife and the child 5years ago was 20years.The present age of husband is : Correct Answer 40years The total of the present ages of husband, wife and child = 3 x 27 + 3 x 3 = 90 years The total of the present ages of wife and child = 2 x 20 + 2 x 5 = 50 years So, the present age of the husband = 90 - 50 = 40 years

Explanation:

If one third of one fourth of a number is 15, the three-tenth of that number is- Correct Answer 56 ব্যাখাঃ ধরি, সংখ্যাটি ক প্রশ্নমতে, ক × ১/৩ × ১/৪ = ১৫ ক = ১৮০ সুতরাং, ৩/১০ × ১৮০ = ৫৪

Explanation:

how many 3digit numbers can be formed from digits 2,3,5,6,7 and 9 divisible by 5 and none of the digits is repeated? Correct Answer 5 Numbers divisible by 5 must have the digit 5 in their unit place. As no numbers can be repeated, there are only 2 numbers remaining to be chosen from 5 more numbers (2, 3, 6, 7, 9). So, number of possible numbers =  5P2  = 20

Explanation:

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3km/hr in the direction of the moving train if the speed of the train is 63km/hr? Correct Answer 30 ব্যাখাঃ ট্রেনটি ১ ঘন্টায় অতিক্রম করে ( ৬৩ - ৩) কি.মি = ৬০ কি.মি = ৬০×১০০০ মিটার আবার, ১ ঘন্টা = ৩৬০০ সেকেন্ড ৬০×১০০০ মিটার অতিক্রম করে ৩৬০০ সেকেন্ড ৫০০ মিটার অতিক্রম করে ( ৩৬০০×৫০০)/ (৬০×১০০০) = ৩০ সেকেন্ড

Explanation:

If 50% of x equals the sum of y and 20, then what is the value of x-2y? Correct Answer 40 ব্যাখ্যা: 50% of x = y + 20 50x / 100 = y + 20 x/2 = y + 20 x - 2y = 40

Explanation:

If x>5 and y<-1, which of the following statements is true? Correct Answer None of these x > 5 and y < -1, we can make the following conclusions:x + y > 4: Since x is greater than 5 and y is less than -1, their sum will be greater than 4. Therefore, the statement "x + y > 4" is true.x * y < -5: Since x is greater than 5 and y is less than -1, their product will be less than -5 (because a positive number multiplied by a negative number gives a negative result). Therefore, the statement "x * y < -5" is true.Therefore, the true statement is "x + y > 4", and the statement "x * y < -5" is also true.So , the correct Ans is None of these.

Explanation:

A man walks at a rate of 10mph.After every ten miles, he rest for 6minutes. How much time does he take to walk 50miles? Correct Answer 324 ব্যাখাঃ ১০ মাইল হাটে ১ ঘন্টায় ৫০ মাইল হাটে ৫০/১০ ঘন্টায় = ৫ ঘন্টায় = ( ৫×৬০) সেকেন্ড = ৩০০ সেকেন্ড লোকটি ৫০ মাইল হাটতে প্রতি ১০ মাইল অন্তর ৪ বার বিশ্রাম নিতে হয়। সুতরাং, লোকটির মোট সময় লাগে = ৩০০ + ৬×৪ = ৩২৪ সেকেন্ড