Explanation:

A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . If a carpet square costs Tk. 12, calculate the total cost to cover 23 of the floor? Correct Answer Tk. 160 Number of carpets required to cover the entire floor = total floor area/ area of carpet = 10x8 /2x2 = 20 Total cost of carpet squares = 20 x 12x(2/3) = Tk. 160

Explanation:

A Collection of 16 coins,each with a face value of either 10 paisa or 25 paisa, has a total face value of Tk. 2.35 How many of the coins have a face value of 25 paisa? Correct Answer 5 A Collection of 16 coins,each with a face value of either 10 paisa or 25 paisa, has a total face value of Tk. 2.35 How many of the coins have a face value of 25 paisa? We can let the number of 10 - paisa coins = d and the number of 25 - paisa coins = q. We are given that there are 16 total coins; thus, d + q = 16. We are also given that the total face value isTk.2.35, thus: 0.1d + 0.25q = 2.35 10d + 25q = 235 Isolating d in our first equation, we have d = 16 - q. We can substitute 16 - q for d in our second equation and we have: 10(16 - q) + 25q = 235 160 - 10q + 25q = 235 15q = 75 q = 5 There are 5 coins with a face value of 25 paisa.

Explanation:

১০০ টাকার ১ বছরের সুদ ১০ টাকা । ৫০০ টাকার ১ বছরের সুদ কত? সঠিক উত্তর ৫০০ **প্রশ্নে ভুল আছে। ১০০ টাকার ১ বছরের সুদ = ১০ টাকা ৫০০ টাকার ১ বছরের সুদ = ১০ x ৫০০ / ১০০ = ৫০ টাকা

Explanation:

How many triangle are there in the figure below Correct Answer 12 Bitcoin uses public - key cryptography, in which two cryptographic keys, one public and one private, are generated.

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The number 1729 is equivalent Correct Answer Both 'b' and 'c' Jaundice is a liver disease. Rash is a skin disease.

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A person travels a certain distance at 3 km / hr and reaches 15 min late. If he travels at 4 km / hr, he reaches 15 min earlier . The distance he has to travel is __ Correct Answer 6 km Let the time taken to travel at speeds 3 km/h and 4 km/h be t1 and t2 respectively. So, t1 - t2 = 15 - ( - 15) = 30 minutes = 0.5 h Now, let the distance travelled be = x km So, (x / 3) - (x / 4) = 0.5 ⇨ x = 6 km

Explanation:

In a business A and C invested amounts in the ratio 2 : 1 whereas A and B invested amounts in the ratio 3 : 2 . If their annual profit be Tk. 157300, then B's share in the profit is Correct Answer Tk. 48400 Assume that investment of C = x Then, investment of A = 2x Investment of B = 2A/3 = 4x/3 (since ratio of investment of A : B = 2 : 3 i.e B = 2A/3) A : B : C = 2x : 4x/3: x = 2 : 4/3 : 1 = 6 : 4 : 3 B's Share = 157300 × 4/(6 + 4 + 3) = 157300 × 4/13 = 12100 × 4 = Tk. 48400

Explanation:

A sum fetches a simple interest of Tk. 6000 at the rate of 5% p.a. in 6 years . what would be the compound interest earned at the same rate of interest and the same principal in 2 years? Correct Answer Tk. 2050 The sum = Tk. (6000 × 100)/(5 × 6) = Tk. 20000 Compound Interest = (20000 × 105/100 × 105/100) – 20000 = Tk. 2050. Ans: A

Explanation:

The difference between the radii of bigger circle and smaller circle is 14 cm and the difference between their areas is 1056 cm2 . Radius of the smaller circle is _ Correct Answer 5 cm Let the radius of the smaller circle be r cm Then, radius of bigger circle = (r + 14)cm Given, π(r + 14) 2−π(r) 2 = 1056 ⇒ π(r 2 + 28r + 196)−πr 2 = 1056 ⇒πr 2 + 28πr + 196π−πr 2 = 1056 ⇒28 × 22/ 7 + 196x22/ 7 = 1056 ​ = >88r + 616 = 1056 ⇒r = 5 cm

Explanation:

In a student dormitory there was enough food to feed 300 students for 15 days. Because of admission of some new students, the food only lasted for 10 days. How many new students were admitted to the dormitory? Correct Answer 150 aggravate. Synonyms: exasperate, provoke, wound, heighten, intensify, irritate, make worse, increase, enhance embitter, magnify. Antonyms: soothe, conciliate, assuage, diminish, palliate, neutralize, soften, lessen, alleviate, attenuate, mitigate.

Explanation:

The average age of a group of 15 employees is 24 years. If 5 more employees join the group, the average age increases by 2 years. Find the average age of the new employees. Correct Answer 32 The average age of a group of 15 employees is 24 years. Therefore, the sum of the ages of all 15 of them = 15 * 24 = 360 When 5 more employees join the group, the average age increases by 2 years. New average = 26. Now, there are 20 employees. Therefore, the sum of the ages of all 20 of them = 20x26 = 520 Therefore, the sum of the ages of the 5 new students who joined = 520 - 360 = 160 And the average age of each of the 5 new students = 160/5 = 32 years.

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If x = 4, (x2+x12)=? Correct Answer 18 Synonyms for absolute complete. full. infinite. outright. pure. sheer. simple. unadulterated.

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If x2-7x+12<0, then which of the following is true ? Correct Answer 3 x2  -   7x  +  12

Explanation:

Alam sold an item for Tk. 6,384 and incurred a loss of 30% . At what price should he have sold the item to have gained a profit of 30% ? Correct Answer Tk. 11,856 Required price = Tk. 6384 × (100 + 30)/(100 - 30) = Tk. 11856. Ans: B

Explanation:

A certain river has a current of 4 miles per hour.A boat takes twice as long to travel upstream between two points as it does to travel downstream between the same two points . What is the speed of the boat in still water ? Correct Answer 12 miles per hour Let, boat speed is xATQX+4=2(x-4)X+4=2x-8X=12

Explanation:

In the figure below, a square is inscribed in a circle with diameter d. What is the sum of the areas of the shaded regions in terms of d? Correct Answer d2(π4-12) latent (adjective): dormant, quiescent, inactive, untapped, unused, undiscovered, hidden, unrevealed, unexpressed, concealed, unapparent, indiscernible.

Explanation:

If 4 years' interest of Principal tk.500 and 5 years interest of Principal Tk. 600 are Tk. 500 in total , what is the rate of interest ? Correct Answer 10% এখানে, I1  + I 2  = 500 ⇒  n1p1r100 + n21p2r100 = 500 ⇒ 4×500×r100 = 5×600×r100  = 500⇒20r + 30r  = 500  ⇒r = 50050   ⇒ r  = 10  সুতরাং সুদের হার 10%

Explanation:

The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is __ Correct Answer 24 The 6th number is = (50 × 9) – (5 × 54 + 3 × 52) = 450 – 426 = 24. Ans: D

Explanation:

Kiran purchased a scooter for Tk. 52000. He sold it at loss of 10% .With that money be purchased another scooter and sold it at profit of 20% What is his overall loss/ profit? Correct Answer Tk. 4160 profit The selling price of the first scooter = Tk. 52000 × (100 - 10)/100 = Tk. 46800. Loss on the first scooter = Tk. 52000 × 10% = Tk. 5200. Profit on the second scooter = Tk. 46800 × 20% = Tk. 9360. Net profit = Tk. (9360 - 5200) = Tk. 4160. Ans: D

Explanation:

A two-digit number becomes five-sixth of itself when its digits are reversed . The two digits differ by one. What is the number ? Correct Answer 54 ধরি, একক স্থানীয় অংক = x দশক ,, ,, = y ∴ সংখ্যাটি = 10 y + x প্রশ্নমতে, 56(10  y  + x)  = 10x  + y ⇒ 50y  +  5x  = 60x  +  6y ⇒44y  = 55x ⇒ y  =   5544x ........ .. (i)  আবার, y – x = 1 ⇒ 5544 x – x = 1 [ (i) নং হতে] ⇒55x  -  44x44 = 1 ⇒11x = 44 ⇒ x = 4 ∴ y – 4 = 1 ⇒ y 5 ∴ সংখ্যাটি হলো : 54।

Explanation:

A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. what is his average after the 13 innings ? Correct Answer 36 Average of 12 innings = x According to the question: (12x + 96)/13 = x + 5 x = 96 - 65 = 31. Average in 13 innings = 31 + 5 = 36 Ans: A

Explanation:

The area of a square on a straight line is how many times that on its one- third ? Correct Answer 9 ধরি, সরলরেখার উপর অংকিত বর্গের দৈর্ঘ্য x একক ∴বর্গের ক্ষেত্রফল = x2 বর্গএকক ∴ বর্গের বাহুর এক - তৃতীয়াংশের দৈর্ঘ্য = x3 একক ∴ ক্ষেত্রফল = x29 বর্গ একক এখন, . x2x29   = x2  × 9x2    =  9 ∴ একটি সরলরেখার উপর অঙ্কিত বর্গক্ষেত্র ঐ সরলরেখার এক - তৃতীয়াংশের উপর অঙ্কিত বর্গক্ষেত্রের 3 গুণ ।

Explanation:

A square is inscribed in a circle of diameter 2a and another square is circumscribing circle. The difference between the areas of outer and inner squares is__ Correct Answer 2a2 Length of a side of the outer square = 2a. Area = (2a)² = 4a². Length of the diagonal of the inner square = 2a. Length of a side of the inner square = 2a/√2 Area = (2a/√2)² = 4a²/2 = 2a² Difference = 4a² - 2a² = 2a². Ans: B

Explanation:

A train 150 m long passes a pole in 15 seconds and crosses another train of the same length travelling in opposite direction in 8 seconds . The speed of the second train in (km/h) is __ Correct Answer 99 km / hr Speed of the first train = 150/15 = 10 mps. speed of the second train = x mps. According to the question: x + 10 = (150 + 150)/8 x = 27.5 mps = 27.5 × 3600/1000 = 99 kmph. Ans: D

Explanation:

A man takes 3 hours 45 minutes to row a boat 22.5 km downstream of a river and 2 hours 30 minutes to cover a distance of 10 km up stream . Find the speed of the river current in km /hr. Correct Answer 1 km/hr Speed of the boat = x kmph, the river current = y mph. 3H45M = (3 + 45/60) hr = 15/4 hr 2H30M = (2 + 30/60) hr = 5/2 hr. According to the question: x + y = 22.5/(15/4) = 6 x - y = 10/(5/2) = 4 2x = 2 x = 1. Ans: A

Explanation:

A man can row 6 km / hr in still water. If the speed of the current is 2 km / hr. it takes 3 hrs more in upstream than in the downstream for the same distance . The distance is __ Correct Answer 24 km D/(6 - 2) – D/(6 + 2) = 3 D = 24. Ans: B

Explanation:

The ratio of the speeds of a train and a man 6 : 1 . The length of the train is 650 m and crosses a pole in 1 minute 5 seconds. In how much time will the man cross the 240 m long platform? Correct Answer 1 min 24 sec Speed of the train = 650/65 = 10 mps. Speed of the man = 10/6 = 5/3 mps. Time for the man to cross the platform = 240/(5/3) = 144 seconds = 2 minutes 24 seconds. Ans: D

Explanation:

If x2-3x+1=0 ,what is the value of x2-1/x2? Correct Answer 35 x2 -  3x + 1 = 0 ⇒x2  +  1  = 3x ⇒ x2  +  1x  = 3 ⇒ x + 1x  = 3  আবার, x  -  1x2  =  x  +  1x2 - 4.x.1x  =  33 - 4 = 5 ∴ x  -  1x  = 5 ∴ x2  - 1x2 =  x  +  1xx  -  1x   = 3.5 = 35

Explanation:

What is the fourth proportional of 3,9 and 4? Correct Answer 12 আমরা জানি, সমকোণী ত্রিভুজের ক্ষেত্রে, অতিভুজ 2  =  লম্ব2  +  š D;ূমি2 এখানে, a. 42  + 32  = 16 + 9 = 25  ≢ 62 = 36;সুতরাং সম্ভব নয়। b. 52  + 42  = 25 + 16 = 25  ≢ 62 = 36;সুতরাং সম্ভব নয়। c. 82  + 72  = 64 + 49 = 113  ≢ 112 = 121;সুতরাং সম্ভব নয়। d. 122  + 52  = 144 + 25 = 169  ≢ 132 = 169; সুতরাং সম্ভব। ∴ নির্দিষ্ট অনুপাতটি হলো : 13 : 12 : 5

Explanation:

What is the probability that product of two integers (not necessarily different integers ) randomly selected from the numbers 1 to 20, inclusive , is odd ? Correct Answer 1/4 আমরা জানি, শুধুমাত্র দুটি বিজোড় সংখ্যার গুণফলই বিজোড় হয়। এখানে 1 থেকে 20 পর্যন্ত বিজোড় সংখ্যা 10টি এবং যেহেতু প্রশ্নে বলা হয়েছে সংখ্যা দুটি ভিন্ন নাও হতে পারে তাই সম্ভাব্যতা = 10×1020×20  =  14 ।

Explanation:

A number when divided by 627 leaves a remainder 43. By dividing the same number by 19 , the remainder will be__ Correct Answer 5 627 is a multiple of 19. So, if a number divided by 627 leaves a remainder 43, then the same number divided by 19 will leave the same remainder as 43 divided by 19 leaves. 43 = 19 × 2 + 5. So, the remainder will be 5. Ans: D

Explanation:

30 men took a dip in a water tank 20m long and 15m broad on a religious day.If the aveage water displacement of water by a man is 2m3, then the rise in the water level in the tank will be -- Correct Answer 20 cm 30 জন লোকের পানির প্রয়োজন = (30 × 2) m3 = 60m3 এখন, ধরি, উচ্চতা = hm ∴ 20 ×15 × h = 60 ⇒h = 60300m ⇒h = 15m ⇒h = 15×10 m  ⇒h = 20cm

Explanation:

Below, out of the four figures marked A, B, C and D, three are similar in a certain manner , However, one figure is not like the other three. Choose the figure which is different from the rest. Correct Answer . অপশন (c) - এর বৃত্তাংশগুলো সুষমভাবে বণ্টন করা আছে। বাকি তিনটি অপশনে বৃত্তাংশগুলো সুষম বা প্রতিসমভাবে বণ্টন করা হয়নি। সুতরাং অপর তিনটি অপশন থেকে অপশন (c) ই ভিন্ন।