Explanation:

A sum of Tk. 100 is divided among A, B and C. If A and B together receive Tk. 70, B and C together receive Tk. 50. Find the amount received by B. Correct Answer Tk. 20 Let the amounts received by them be A, B and C respectively. So, A + B + C = 100. Now,  A + B = 70 Again,  B + C = 50 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - So,  A + B + B + C = 70 + 50 [By addition] or,  2B + A + C = 120 or,  2B + 100 - B = 120  [A + C = 100 - B] or,  2B - B = 120 - 100 or,  B = 20 TK

Explanation:

How much more is 1/2 of 2/3 than 3/4 off 1/3? Correct Answer 1/12 Here, (1/2 of 2/3) - (3/4 of 1/3) = 1/3 - 1/4 = 1/12

Explanation:

A train runs at 45 km per hour. How far does it go in 6 seconds? Correct Answer 75m we know distance = speed ×time so,distance = 45*6*1000/60*60 m = 75 m. ans:75 metres

Explanation:

The average of 10 numbers is 7. What will be the new av average if each of the numbers is multiplied by 8? Correct Answer 56 If the numbers are multiplied by 8 then their average will also get multiplied by 8. So, the new average will be 7 x 8 = 56.

Explanation:

After scoring 85 runs in the 17th innings, a batsman's average run increases by 3. What was his average before the 17th? Correct Answer 34 runs Let the initial average be A. ATQ,  16 x A + 85 = 17 x (A + 3) or,  16A + 85 = 17A + 51 or, 17A - 16A = 85 - 51 or,  A =  34 runs

Explanation:

A machine part is packed in a box of size 5cm x 4cm x 2cm. The number of parts that can be packed in a carton of size 25cm x 16cm x 8cm is- Correct Answer 80 Number of parts can be packed = volume of carton / volume of machine part box                                                     = (25 x 16 x 8) / (5 x 4 x 2) = 80

Explanation:

A train running at the speed of 25 m/s takes 10 seconds to pass a man running at the speed of 10 m/s in the opposite direction. Find the length of the train. Correct Answer 350 meters Relative speed of the train = 25 + 10 = 35 m/s So, the length of the train = 35 x 10 = 350 meter.

Explanation:

A 6 meter long pole casts 15 meter long shadow. Find the length of second pole if its shadow is 25 meter. Correct Answer 10 meter shadow is 15 meter long when pole is 6m shadow is 1 meter long  when pole 6/15 m   shadow is 25 meter long = 6/15 *25 m                          = 10 m   ans: 10 m

Explanation:

A's income is 50% less than B's . By how much percent, B's income is more than A's? Correct Answer 100%  Let's B's income = 100  A's income = 50. Required % = (100 - 50)/50 × 100 = 100% ans:100%

Explanation:

Students of a class stand in a queue. If Rajib is 19th in order from both ends, how many students are there in the queue? Correct Answer 37 Number of students in the queue = 19 + 19 - 1 = 37 [1 is sutracted so that he is not counted twice]

Explanation:

In a certain country, a person born in every 7seconds and a person dies every 13 seconds. Therefore the birth and death rates account for a population growth rate of one person? Correct Answer 15.17seconds A person is born every 7 seconds per second 1/7 person is born A person dies every 13 seconds So, per second 1/13 persondies Population growth rate is 1/7 - 1/13 = 6/91  and rate will be = 91/6 = 15.17 seconds ans: 15.17 seconds

Explanation:

If X, Y and Z are chosen from the three numbers 2, -3 and 1/2, then what is the largest possible value of the expression (X/Y) *Z2? Correct Answer 36 Let, X=2,Y=½,Z=-3NOW, (X/Y)*Z2=2/½, *(-3)2=36

Explanation:

The average of 20, 70 and x is 40. If the average of 20, 70, x and y is 50, then y = ? Correct Answer 80 Here, 20 + 70 + x = 3 x 40 = 120 Now,  20 + 70 + x + y = 4 x 50 or,   y = 200 - (20 + 70 + x) or, y = 200 - 120 So,  y = 80

Explanation:

What is the total interest on Tk. 800 at 12.5% per annum for 9 months in Taka? Correct Answer 75 9 months = 9/12 year = 3/4 year Interest, I = pnr = 800 x 3/4 x 12.5/100 = 75 taka

Explanation:

If Tk. 4,500 was invested in a share when the price per share was Tk. 9 and Tk. 3,000 was invested in another share when the price per share was Tk. 10. What was the average price per share purchased? Correct Answer Tk. 9.375 When tk 9, number of share = 4500/9 = 500 When tk 10, number of share = 3000/10 = 300 Average price = Total price of share / Total number of share = (4500 + 3000) / (500 + 300) = 7500/800 = 9.375

Explanation:

If X and Y are prime numbers, then which of the following cannot be the the sum of X and Y? Correct Answer 23 Here, the highest total is 23. Now, Prime numbers upto 23 = 2, 3, 5, 7, 11, 13, 17, 19, 23. Here, 2 + 3 = 5;     2 + 11 = 13;     5 + 11 = 16; But, no pair of numbers from these numbers adds up to 23.

Explanation:

A motorcycle costs Tk. 2500 when it is brand new. At the end of each year it is worth 4/5 of what it was at the beginning of the year. What is the motorcycle worth when it is 3 years old? Correct Answer Tk. 1280 At the end of first year, the motorcycle is worth = 4/5 of 2500 = 2000 TK At the end of second year, the motorcycle is worth = 4/5 of 2000 = 1600 TK At the end of third year, the motorcycle is worth = 4/5 of 1600 = 1280 TK [Shortcut = 4/5 x 4/5 x 4/5 x 2500]

Explanation:

In a mixture of 30 liters, the ratio of acid and water is 7 : 3. How much more water is to be added to get a new mixture containing acid and water in the ratio of 3 : 7? Correct Answer 40 liters Let the amount of water needed be W. Initialy, the mixture contains (7 / (7 + 3) x 30 = 21 liter of acid and 30 - 21 = 9 liter of water. Now,  21 : (9 + W) = 3 : 7 or,  21 / (9 + W) = 3 / 7 or,  3(9 + W) = 21 x 7 or,  27 + 3W = 147 or, 3W = 147 - 27 or, W = 120/3 =  40 liter

Explanation:

A cricketer has a certain average for 9 innings. In the 10th innings he scores 100 runs, thus increasing his average by 8 runs. What is new average? Correct Answer 28 If original average is A then new average is A + 8. ATQ,   9 x A + 100 = 10 x (A + 8) or,  9A + 100 = 10A + 80 or,  10A - 9A = 100 - 80 or,  A = 20 So, new average = A + 8 = 20 + 8 =  28 runs

Explanation:

A container is 1/2 full., When 8 gallons is removed the container is 1/10 full. What is the capacity of the container in gallon? Correct Answer 20 Let n be the total capacity of the container. ATQ, n/2 - 8 = n/10 or,n/2 - n/10 = 8 or, 4n = 80 or, n = 20 liters so, 20 liters need to be added to make it full

Explanation:

Find the number of the divisors of 540. Correct Answer 24 Here, 540 = 2 x 2 x 3 x 3 x 3 x 5 540 has two 2s, three 3s and one 5 among its prime divisors. So, the number of divisors of 540 = (2 + 1) x (3 + 1) x (1 + 1) = 24

Explanation:

The length of the train that takes 8 second to pass a pole when it runs at a speed of 3 km/hr is- Correct Answer 80m ***The question is erroneous. If the speed is 36 km/hr then the solution is as follows: 36 km/hr = 36 x 1000 /3600 m/s = 10 m/s So, the length of the train = 10 x 8 = 80 m.

Explanation:

Find the number that should be placed in the gap of the series : 80, 96, -, 128 Correct Answer 112 80 + 16 = 96 96 + 16 = 112 112 + 16 = 128

Explanation:

It costs X taka each to make the first thousand copies of a CD and Y taka to make each subsequent copy. How many taka will it cost to make Z copies (Z is greater than 1000) of the CD? Correct Answer 1000(X-Y) +YZ For first thousand copies = 1000X tk As, Z is greater than 1000, we have to substract 1000Y from 1000X. And for extra copies, the cost = YZ So, the equation = (1000X - 1000Y) + YZ = 1000(X - Y) + YZ

Explanation:

A man travels 5 miles towards west, 2 miles towards south, then again 5 miles towards west. What is the direct distance of destination from the starting point? Correct Answer 12 miles ***The question is erroneous. The man is 5 + 5 = 10 miles westward an 2 miles southward from his starting point. So, considering a right - angled triangle, his direct distance from the initial point will be (102 + 22)1/2 ≈ 10.2 miles.

Explanation:

Karim can do a job in 15 minutes and his brother takes twice as long to do the same job. If they work together, how long it takes to complete the job? Correct Answer 10 If Karim takes 15 minutes then his brother takes 2 x 15 = 30 minutes to do the job. Together they can complete 1/15 + 1/30 = 3/30 = 1/10 of the job in a minute. So, together they can complete the job in 10 minutes.

Explanation:

In a cash box, there are equal number of 10 paisa, 25 paisa and 50 paisa coins. If it contains Tk. 170, then what is the number of 10 paisa coin? Correct Answer 200 Let's assume that there are 'x' coins of each denomination (10 paisa, 25 paisa, and 50 paisa) in the cash box.The value of x 10 paisa coins = 0.10x TkThe value of x 25 paisa coins = 0.25x Tk The value of x 50 paisa coins = 0.50x TkSo we can write an equation as:0.10x + 0.25x + 0.50x = 170Simplifying this equation, we get:0.85x = 170Dividing both sides by 0.85, we get:x = 200Therefore, there are 200 coins of each denomination in the cash box, and the number of 10 paisa coins is also 200.

Explanation:

The scale of a local map is 1cm to 5km. An area is represented on the map by a rectangle of dimensions 5cm x 9cm. The actual area in km is- Correct Answer 1125 Here, 1cm ≡ 5km Actual dimension = (5x5)km x (9x5)km = 25km x 45km So, the actual area = 25 x 45 km2 = 1125 km2

Explanation:

If 3x + 2y=8 and 2x - y =3, find the value of 4y - 3x. Correct Answer -2 Here,3x+2y=8          2x-y=3if we multiply equation 2 with 2 and add it with equation 1 then we get, 7x=14 or x=2now, 4-y=3 (by substituting x=2 in equation 2)        or, y=1So, 4y-3x=4 - 3*2= -2

Explanation:

Of the 65 families in a locality, 45 have children and 10 have retired individuals as members. Of the families, 8 have both children and retired individuals as members. How many of the families have neither children nor retired individuals as members? Correct Answer 18 Number of families having children or retired individuals or both = 45 + 10 - 8 = 47 So, number of families having neither children nor retired individuals = 65 - 47 =  18.

Explanation:

A time-study specialist has set the production rate for each worker on a certain job at 22units every 3hours. At this rate what is the minimum number of workers that should be put on the job if at least 90units are to be produced per hour? Correct Answer 13 The rate for each worker can be expressed as 22/3 units per hour. We can let n = the number of workers needed to produce 90 units per hour, and we have: n(22/3) = 90 or,22n = 270 ∴ n = 270/22 = 12.2, so there must be at least 13 workers.(ans)

Explanation:

In a class the average marks attained in an exam is 80. The average of students who scored below 75 is 65. The average of students who scored 75 or more is 90. If the total number of students in this class is 20, how many students scored 75 or more? Correct Answer 12 The total number of students in the class is 20. So let the number of people having marks greater than or equal to 75 be ‘x’  so number of students below 75 will be be ‘20 - x’.   ATQ, 65*(20 - x) + 90*(x) = 80*20 = > 1300–65x + 90x = 1600 = > 25x = 300 = >x = 12 ans:12

Explanation:

What is the minimum nuber of flowers that must be added to an existing stock of 966 flowers so that the total stock can be equally distributed among 6, 7, 8 or 9 persons? Correct Answer 42 LMC OF 6,7,8,9 = 540 Existing number = 966 so, Minimum number must be added = (1008 - 966) = 42 ans: 42

Explanation:

In a shop, the cost of 5 shirt , 5pairs of trousers and 3 hats is tk.710. The cost of 11shirts , 11pairs of trousers and 8 hats is tk. 1590. What is the total cost of 1 shirt,1 pair of trouser and 1 hat? Correct Answer Tk. 150 5 shirt , 5 pairs of trousers and 3 hats = 710 TK - - - - - (i) Now, multiplying both sides by 2, 10 shirt , 10 pairs of trousers and 6 hats = 1420 TK  - - - - - - - (ii) Again, 11 shirt , 11 pairs of trousers and 8 hats = 1590 TK  - - - - - - (iii) Now,  {(iii) - (ii)}>> 1 shirt , 1 pair of trousers and 2 hats = 170 TK - - - - - (iv) {(iii)×5}>>   5 shirt , 5 pairs of trousers and 10 hats = 850 TK - - - - - - (v) Now,  {(v) - (i)}>>  7 hats = 140 TK So,  1 hat = 140/7 = 20 TK From (iv),   1 shirt , 1 pair of trousers and 1 hat = 170 - 20 =  150 TK

Explanation:

Three workers X, Y and Z, are paid a total of Tk.5,500 for particular jobs. X paid 133.33% of the amount paid to Y and Y is paid 75% amount paid to Z.How much is paid to Z? Correct Answer 2000 ধরি, y দেয় 100 টাকা x দেয় ( 133.33% of 100) টাকা = 133.33 টাকা এবং, z দেয় ( 100 × 100 /75) = 400/3 x : y : z = 133.33 : 100 : 400/3 = 400 : 300 : 400 = 4 : 3 : 4 z দেয় = ( 5500 এর 4 /4 + 3 + 4) টাকা = 2000 টাকা

Explanation:

A cricket team has won 40games out of 60played.It has 30 more games to play.How many of these must the team win to make record 70% win for them? Correct Answer 25 মোট games = 60 + 32 = 92 টি 92 এর 70% = 92 এর 70/100 = 64.4 Team টিকে আরও জিততে হবে ( 64.4 - 40) টি = 25 টি

Explanation:

If 5% is gained by selling an article BDT350 than selling it for BDT340, The cost of the is- Correct Answer BDT200 5 টাকা বেশি হলে ক্রয়মূল্য 100 টাকা 10 টাকা বেশি হলে ক্রয়মূল্য = 100 × 10/5 = 200 টাকা।

Explanation:

If logx1/9=-2, the x=? Correct Answer -3 আমরা জানি, logaM = x হলে M = a^x , সেই হিসেবে এখানে logx1/9 = - 2 হলে , 1/9 = x^ - 2 = >x^2 = 9∴ x = + - 3, তবে এখানে - 3 মান গ্রহণযোগ্য হবেনা কেননা logaM এ a>0 হতে হবে তবেই a^x শরবদা ধনাত্তক হবে এবং শুধু ধনাত্মক সংখ্যার ই লগের মান আছে বা সম্ভব । শুন্য বা ঋণাত্মক সংখ্যার লগের বাস্তব মান নেই।

Explanation:

১২.৫% = কত? সঠিক উত্তর ১/৮ ১২.৫ % = ১২.৫/১০০ = ১২৫/( ১০০ × ১০) = ১/৮

Explanation:

If the average of 4, 5, 6 and P is 7, what is the value of P? Correct Answer 13 4 + 5 + 6 + p = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>×</mo><mn>7</mn></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> p = 20 - 4 - 5 - 6<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> p = 13

Explanation:

If first thousand natural numbers, how many integers exist such that they leave a reminder 4 when divided by 7 and remaineder 9 divided by 11? Correct Answer 13 7 দ্বারা ভাগ করার পর 4 অবশিষ্ট থাকলে সংখ্যাগুলো হতে পারে : 4, 11, 18, 25, 32, 39, 46, 53.... 11 দ্বারা ভাগ করার পর 9 অবশিষ্ট থাকলে সংখ্যাগুলো হতে পারে : 9, 20, 31, 42, 53....... 7 ও 11 এর ল. সা. গু = 77 সংখ্যাগুলোর সাধারণ রূপ = 77x + 53. ১ম সংখ্যাটি = 0 × 77 + 53 = 53 ২য় সংখ্যাটি = 1 × 77 + 53 = 130 ৩য় সংখ্যাটি = 2 × 77 + 53 = 207 অনুরূপ ভাবে ১৩ তম সংখ্যাটি = 12 × 77 + 53 = 977 ১ম 1000 এর মধ্যে মোট সংখ্যা 13 টি।

Explanation:

A train 240m long passed a pole in 24 sec. How long it will take to pass 650m long platform? Correct Answer 89sec ট্রেনসহ প্লাটফর্ম এর দৈর্ঘ = (240 + 650) m = 890 m ট্রেনটি 240 m দূরুত্ব অতিক্রম করে 24 সেকেন্ডে ট্রেনটি 890 m দূরুত্ব অতিক্রম করে = 24 × 890 /340 = 89 সেকেন্ডে ।

Explanation:

If the interest of Tk.H of H% in 4years is Tk.H,Then H=? Correct Answer 25 সরল মুনাফার ক্ষেত্রে, I = Pnr H = H × 4 × H/100 1 = H/25 H = 25

Explanation:

সমকোণী ত্রিভুজের ভূমি ১০, উচ্চতা ১২, ক্ষেত্রফল = কত? সঠিক উত্তর ৬০ সমকোণী ত্রিভুজের ক্ষেত্রফল = ১/২ × ভূমি × উচ্চতা = ১/২ ×১০ ×১২ = ৬০

Explanation:

If 1/x +y =4 , then x =? Correct Answer 1/4 -y <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mi>x</mi><mo> + </mo><mi>y</mi></mrow></mfrac><mo> = </mo><mn>4</mn></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> 4x + 4y = 1<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> 4x = 1 - 4y<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>1</mn><mo> - </mo><mn>4</mn><mi>y</mi></mrow><mn>4</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac><mo> - </mo><mi>y</mi></math>

Explanation:

a+b =5, a-b=3 হলে, ab এর মান- সঠিক উত্তর 4 ab = 1/4 ( a + b) 2 - ( a - b) 2 = 1/4 (5)2 - ( 3)2 = 1/4 ×25 - 9 = 1/4 × 16 = 4

Explanation:

১ হতে ২০ পর্যন্ত মোট মৌলিক সংখ্যা- সঠিক উত্তর ৮টি 1 TO 20 NO: 2,3,5,7,11,13,17,19

Explanation:

The average of smallest and largest primes between 60 and 80 is - Correct Answer 70 60 ও 80 এর মধ্যে বৃহত্তম মৌলিক সংখ্যা 79 60 ও 80 এর মধ্যে বৃহত্তম মৌলিল সংখ্যা + 61 সংখ্যা দুটির সমষ্টি = 140 সংখ্যা দুটির গড় = 140/2 = 70

Explanation:

In the triangle beside, what is the value of X? Correct Answer 35 degree <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>4</mn><mi>x</mi><mo> + </mo><mn>40</mn><mo>°</mo><mo> = </mo><mn>180</mn><mo>°</mo></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>180</mn><mo>°</mo></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>35</mn><mo>°</mo></math>