Explanation:

কোন ক্ষুদ্রতম সংখ্যার সঙ্গে ১ যোগ করলে ৩, ৬, ৯, ১২ ও ১৫ দ্বারা নিঃশেষে বিভাজ্য হবে? সঠিক উত্তর ১৭৯ ব্যাখাঃ ৩, ৬, ৯, ১৫ এর ল, সা, গু করলে হয় ৩×২×৩×৫ = ৯০ ক্ষুদ্রতম সংখ্যা = ( ৯০×২) - ১ = ১৭৯ (উত্তর)

Explanation:

The result of subtraction of two numbers is equal to 3/7 of their sum. If the smaller number is 6, what is the other number? Correct Answer 15 Let the greater number is = x and the smaller number is = y According to the question, x - y = 3/7 (x + y) or, 7x - 7y = 3x + 3y or, 7x - 3y = 3y + 7y or, 4x = 10y or, 4x = 10*6 [As the smaller number is 6] or, 4x = 60 or, x = 15 Ans: The greater number is 15

Explanation:

একজন লোক একটি নির্দিষ্ট স্থান A থেকে যাত্রা শুরু করে 12 কিলোমিটার উত্তর দিকে গেল এবং সেখান থেকে 5 কিলোমিটার পূর্ব দিকে গেল। যাত্রা শেষে সে A থেকে কত দূরে থাকবে? সঠিক উত্তর ১৩ কিমি ব্যাখাঃ মনে করি, লোকটি A বিন্দু থেকে ১২ কিমি উত্তরে B বিন্দুতে যাওয়ার পর ঠিক পূর্বদিকে ৫ কিমি গিয়ে C বিন্দুতে পৌছায়। এক্ষেত্রে ABC সমকোণী ত্রিভুজ উৎপন্ন করে। সমকোণী ত্রিভুজের বাহুর অনুপাত হচ্ছে ৫ঃ১২ঃ১৩। সুতরাং AC। এর দূরুত্ব হবে ১৩ কিমি। বি:দ্র: সমকোণী ত্রিভুজ আঁকতে হবে

Explanation:

In a weight-lifting competition, the total weight of Joe's two lifts was 750 pounds. Twice the weight of his first lift was 300 pounds more than the weight of his second lift. What was the weight, in pounds, of his first lift? Correct Answer 350 Suppose,  first lift weight = x pound                   second lift weight = (750 - x) poundas per condition,   2x = 300 + 750-x                                 2x + x = 1050                                3x = 1050                                x = 350So, the weight of his first lift was 350 pounds (Ans.)

Explanation:

After taking the 3rd quiz, the average score of a student dropped from 82 to 78. What was the score of his last quiz? Correct Answer 70 Total score of the first two quizzes = 82 x 2 = 164 Total score of the three quizzes = 78 x 3 = 234 Score of the last quiz = 234 - 164 = 70.

Explanation:

১, ৩, ৬, ১০, ১৫, ২১, ------ ধারাটির দশম পদ কত? সঠিক উত্তর ৫৫ ব্যাখাঃ একানে, ৬ষ্ঠ পদ = (৫ম পদ) + ৬ = ২১ ৭ম পদ = (৬ষ্ঠ পদ) + ৭ = ২৮ ৮ম পদ = (৭ম পদ) + ৮ = ৩৬ ৯ম পদ = (৮ম পদ) + ৯ = ৪৫ এবং, ১০ম পদ = (৯ম পদ) + ১০ = ৫৫

Explanation:

During the season, Arambag won 21 matches and lost 30% of their total matchces. What was the number of matches that the team lost? Correct Answer 9 They won 70% of the matches. So, 70% = 21 matches. 30% = 21 x 30 / 70 = 9 matches.

Explanation:

If m men can do a job in 10 days, how many days will it take for 10 men to complete the job assuming that they work at the same rate? Correct Answer m m men can do the job in 10 days 1 man can do the job in 10 x m days 10 men can do the job in (10 x m)/10 = m days.

Explanation:

If 4 people can pack 20 cartoons per hour, how many hours will 8 people take to pack 40 cartoons? Correct Answer 1 4 people can pack 20 cartoons in = 1 hour so, 1 people can pack 1 cartoon in = (1*4)/20 hour therefore, 8 people can pack 40 cartoons in = (1*4*40)/(20*8) = 1 hour Ans: 1 hour

Explanation:

A certain type of wall for a house costs Tk. 10.50 per square yard. What does it cost to make a wall 4 yards wide and 60 feet long? Correct Answer Tk. 840 60 feet = 20 yardsarea of wall = 4 yards * 20 yards = 80 square yard 1 square yard require = 10.50 tk80 square yard require = 10.50*80 = 840 tk (Ans)

Explanation:

If a>b and a>c, which of the following must be greater that 0? Correct Answer b-a/c-a a>b or, b - a<0 or, b - a is - ve. a>c or, c - a<0 or, c - a is - ve. So, (b - a)/(c - a) = + ve>0.

Explanation:

Arif spends 1/10 of his salary for clothing, 1/3 for food, and 1/5 for other expenses. What percentage of his salary can Arif save? Correct Answer 36.66% Savings = 1 - (1/10 + 1/3 + 1/5) = 1 - (3 + 10 + 6)/30 = 1 - 19/30 = 11/30 = 36.66%

Explanation:

The average of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number? Correct Answer 15 6 টি নাম্বার এর সমষ্টি ( 6×8.5) = 51 5 টি নাম্বার এর সমষ্টি ( 5 ×7.2) = 36  ( - ) বিয়োগ করে, = 15   Discarded সংখ্যাটি = 15

Explanation:

Arif, Afzal and Anwar invest Tk. 5000, Tk. 7000 and Tk. 12000 respectively in a business. If the profits are distributed proportionately, What share Tk. 10000 profit should Anwar receive? Correct Answer 5000 Share of Anwar = {12000 / (5000 + 7000 + 12000)} x 10000 = 5000 TK.

Explanation:

দুটি সংখ্যা গুণফল ১৫৩৬। সংখ্যা দুটোর ল.সা.গু ৯৬ হলে গ.সা.গু কত? সঠিক উত্তর ১৬ ব্যাখাঃ ল, সা, গু × গ, সা, গু = দুটি সংখ্যার গুনফল গ, সা, গু = দুটি সংখ্যার গুনফল / ল, সা, গু = ১৫৩৬/ ৯৬ = ১৬ (উত্তর)

Explanation:

If xy>0 and x<0, which of the following must be negative? Correct Answer y Here, x<0 or, x is negative. Now, if y is positive, the multiply of x & y will be negative. Therefore, xy>0 is possible only if y is negative or y<0. Then, xy = ( - ve) x ( - ve) = + ve >0.

Explanation:

A union contract specifies a 6 percent salary increase plus a Tk. 450 bonus for each employee. For a certain employee, this is equivalent to 8 percent salary increase. What was this employee's salary before the new contract? Correct Answer Tk. 22,500 Suppose, employee's salary before the new contract was = Xas per condition,                               6% salary increase + 450 = 8% salary increase                             8% salary increase - 6% salary increase = 450                             2% salary increase = 450                              2% of X = 450                             2X/100 = 450                             X = 22500So,  Employee's salary before the new contract was = 22500 tk (Ans.)

Explanation:

Rahim is two years older than Karim who is twice as old as Ashraf. If the ages of the three total 27 years, how old is Karim? Correct Answer 10 Let, Rahim as R, Karim as K, Ashraf as AR = 2 + KK = 2A   or A = K/2now,       R+K+A = 27             2 + K+K+K/2 = 27           2K+K/2 = 25          5K = 50           K = 10So, Karim is 10 years old (Ans)

Explanation:

In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-unionized workers are women? Correct Answer 90% Let X% of the non - unionized employees be men. Percentage of non - unionized employees = 100% - 60% = 40% Percentage of unionized men employees = 70% of 60% = 42% Now, % unionized men employees + % of non - unionized men employees = 46% or,  42% + X% of 40% = 46% or,  X% of 40% = 46% - 42% = 4% or,  X/100 = 4/40 So,  X = 1/10×100 = 10 So, percentage of non - unionized women employees = 100% - 10% = 90%

Explanation:

One-third of a cylindrical oil tank is filled. If 3 more liters are added, a half of the tank will be filled. What is the capacity, in liters, of the tank? Correct Answer 18 Change in capacity = 1/2 - 1/3 = 1/6 Now, 1/6 of the capacity = 3 liter So, actual capacity = 3×6 = 18 liter

Explanation:

The average age of 32 students is 10 years. If the teacher's age is also included, the average age increases by one year. What is the age of the teacher? Correct Answer 43 Years Given,the average age of 32 students is 10years∴ total age = 32×10 = 320 yearsif teacher age is included then average be 11 yearstotal age including teacher = 11×33 = 363 yearsteachers age = 363 - 320 = 43 years (ans)

Explanation:

From the time 6:15 pm to the time 7:45 pm, of the same day, how many degrees does the minute hand of a standard clock rotate? Correct Answer 540 The minute hand of a standard clock rotates 360° per hour. Now,  6:15 pm to 7:45 pm = 1.5 hour. So, the minute hand will rotate = 1.5×360° = 540°

Explanation:

The average weight of 3 young men is 53 kg. No one of them weight less than 51 kg. What is the maximum weight of any one man ? Correct Answer 57 (51 + 51 + x)/3 = 53 = > 51 + 51 + x = 159 = > 102 + x = 159 = > x = 159 - 102 x = 57

Explanation:

A cake is made into 18 pieces . If syma takes 1/3 of the cake and Robin takes 1/3 of the rest that are left, how many pieces are still left ? Correct Answer 8 Syma takes = 1/3×18 = 6 pieces Robin takes = 1/3×(18 - 6) = 1/3×12 = 4 pieces Pieces still left = 18 - (6 + 4) = 18 - 10 = 8

Explanation:

There are 20 members on a football squad. In electing a captain and a vice-captain, how many different outcomes of the election are possible ? Correct Answer 190 Required Number = 20C18                                  = 20!18!(20-2)!                                  = 20!18! 2!                                   = 20×19×18!18!×2                                   = 190 (Ans)

Explanation:

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is: Correct Answer 40 Let the numbers be 2x  and 3x Then, their L.C.M = 6x So, 6x = 48  x = 8  The numbers are 16 and 24  Hence, required sum = (16 + 24) = 40

Explanation:

If the number 481*673 is completely divisible by 9, then the smallest whole number in place of * will be: Correct Answer 7 If number is divisible by 9, then the sum of the numbers must be divisible by 9.sum of numbers except *  = 4 + 8 + 1 + 6 + 7 + 3 = 29so the sum should be 36.* = 36 - 29 = 7∴ So 7 will be there in place of *.  ans: 7

Explanation:

If 4 is subtracted from one-fourth of a number, the result is 20. Which of the following in 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 a positive proper fraction and its reciprocal is 9/20. The fraction is: Correct Answer 4/5 Let x be the required fraction then acc to Q we have, 1/x - x = 9/20 So, (1 - x^2)/x = 9/20 or, 20 - 20x^2 = 9x or, 20x^2 + 9x - 20 = 0 or, 20x^2 - 25x - 16x - 20 = 0 or, 5x(4x + 5) - 4(4x + 5) = 0 ∴ (5x - 4) (4x + 5) = 0 so, (5x - 4) = 0      or,  (4x + 5) = 0    or, x = 4/5             ∴x = - 5/4 [ not acceptable, as x cannot be negative]  Hence, x = 4/5 (ans)

Explanation:

The difference between a number and its three-fifth is 50. What is the number? Correct Answer 125 Let the number be ‘X’ According to question, X - (3/5 )X = 50 or, X (1 - 3/5) = 50 or, X × 2/5 = 50 or, X = 50 × 5/2 ∴ X = 125 (ans)

Explanation:

The sum of all even natural numbers between 1 and 31 is: Correct Answer 240 Let Sn = (2 + 4 + 6 + ..... + 30). This is an A.P. in which a = 2, d = 2 and l = 30 Let the number of terms be n Then, a + (n - 1)d = 30 ⇒ 2 + (n - 1) x 2 = 30 ⇒ n = 15 ∴ Sn = n/2 (a + I) = 15/2×(2 + 30) = 15×16 = 240 (ans)

Explanation:

Sazu is younger than Rabi by 4 years. If their age ratios are of 7 : 9 respectively, how pld is Sazu? Correct Answer 14 Years   LetageofRahulbex thenageofSachinwillbe = x−4 nowgivenratio (xx−4​) = (97​) 9(x−4) = 7x 9x−36 = 7x 2x = 36 x = 18 ∴ageofSachin = 18−4 = 14years

Explanation:

Out of a group of 80 applicants for a public service examination, 20 persons failed to appear for the first part of the test. What percent of the total applicants appeared for this part of the test ? Correct Answer 75% Total Students = 80 personFailed = 20  personAppeared = 80-20 = 60 person Percentage = 60×10080                       = 75% (Ans)

Explanation:

If 120 is 20% of a number, then 120% of that number will be: Correct Answer 720 Let the number = x   According to the question   (x × 20)/100 = 120   ∴ x = 600 Required answer = 600×120/100 = 720

Explanation:

Mr. Rahim who is 28 years of age has a son who is 4 years old. In how many years will Mr. Rahim be 4 times as old as his son ? Correct Answer 4 Let, after x years Mr. Rahman will be 4 times as old as his son. So, 4(4 + x) = 28 + x or, 16 + 4x = 28 + X or, 4x - x = 28 - 16 or, 3x = 12 or, x = 4 Therefore, after 4 years Mr. Rahman will be 4 times as old as his son and that is answer option (d).

Explanation:

Find the average oof all the numbers between 6 and 34 which are divisible by 5. Correct Answer 20 numbers between 6 and 34 divisible by 5 are 10, 15, 20, 25, 30 ∴ Average = (10 + 15 + 20 + 25 + 305) = 1005 = 20

Explanation:

B and C are points on straight line AD, on which AB=BC=CD. What percent of AC is AD ? Correct Answer 150% A-----B-----C-----DLet,  AB=BC=CD=xAC = AB + BC = x+x = 2xAD = AB + BC+CD = x+x+x = 3x let, AC * P% = AD(2x * P)/100 = 3xP = 150 % (Ans)

Explanation:

If the diameter of a circle is doubled the area will be - Correct Answer 4 Times Area of a circle is propotional to the square of the diameter. So, if the diameter of a square is doubled, its area will be quadrupled or 4 times.

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:

A's income is 25% more than B's income. B's income in terms of A's income is: Correct Answer 80% let,  A's income = 125 B's income = 100 B's income in terms of A is = 100 x 100/125 = 80 ans: 80%

Explanation:

What percent of 25 is 0.20? Correct Answer 0.8 let x% of 25 is 0.2 so, (x/100) × 25 = 0.2 so, x = 0.8

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:

In a sugar-water solution, the ratio of water to sugar is 8:3. If you add 2 Kgs of sugar, the ratio become 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