Explanation:

If (x2-7x+18)=6, which of the following must be false? Correct Answer x=-4 x2 - 7x + 18 = 6 ⇒x2 - 7x + 12 = 0 ⇒x2 - 4x - 3x + 12 = 0 ⇒xx - 4 - 3x - 4 = 0 ⇒x - 4 x - 3 = 0 ∴ x = 4 অথবা x = 3 সুতরাং দেখা যাচ্ছে answer option - এর (a), (c) (d) সবগুলোই সঠিক কারণ এখানে x - এর মান 3, 4 বা 3 থেকে বড় বা শূন্য থেকে বড়। শুধু x - এর মান ( - 4)হতে পারে না।

Explanation:

If x =ya, y=zb and z=xc then the value of abc is __ Correct Answer 1 শীর্ষে ভারত

Explanation:

the average of 5 numbes is 40 . If 2 more numbers with an avearge of 21, are added to these numbers, What will be the average of the combined 7 numbers? Correct Answer 34.57 প্রথম number - এর সমষ্টি (40×5) = 200 পরের 2 টি " " " ( 21×2 ) = 42 ∴ 7 টি number - এর সমষ্টি (200 + 42) = 242 ∴ 7 টি " " গড়(242÷7) = 34.57

Explanation:

If the area of a circle is 25 π then diameter of the circle is--- Correct Answer 10 ওজন আরবি শব্দ আর মেকি, বাখারি, চাটাই দেশি শব্দ।

Explanation:

If p =35, q=79 and r =57 , then Correct Answer p Cashless money transactions; Sweden Norway Denmark Belgium France UK Somaliland Kenya Canada South Korea জার্মানি নগদ অর্থ লেনদেনের পক্ষে।

Explanation:

A merchant was selling an item at a price then marked it down 20% for a spring sale. During the summer, he marked the item down another 20% from its spring price. If the item sold at the summer price, What percent of the orginal price di it sell for? Correct Answer 64% Net effect = ( - 20 - 20 + 20×20100)% = 36% অর্থাৎ 36% কমবে ∴ Item টি বিক্রয় হবে original price - এর (100 - 36) = 64%দামে।

Explanation:

The sale price of an article including the sales tax is TK. 616 . The rate of sales tax 10% If the shopkeeper has made a profit of 12% , then the cost price of the article is : Correct Answer Tk. 500 Let the C.P. of the article be x Tk. The s.p. = x×1.12×1.1 Given x×1.12×1.1 = 616 ⇒ x = 6161.232 = 500

Explanation:

A rectangular fish tank 25'' by 9'' has water in it to a level of 2". This water is carefully poured into a cylindrical with a diameter of 10" . How high (in term of π) will the water reach in the cylindrical container ? Correct Answer 18/π ধরি, সিলিন্ডারের উচ্চতা h πr2h = 25 × 9 ×2 π (5)2 h = 25 × 18 h = 25 × 18/25 theta h = 18/π

Explanation:

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours . To cover the same distance in 123 hours , it must travel at a speed of : Correct Answer 600 kmph Distance = (240×5) = 1200km ⇒ Speed = 1200/(5/3) km/hr ∴ Required speed = (1200×35) = 720 km/hr

Explanation:

At what profit percent must an article be sold so that by selling at half that price , there may be a loss of 30% ? Correct Answer 40% Let Cost Price, C.P = 100 at x% profit, selling price = 100 + x at 30% loss, s.p = 70 Now, 100 + x2 = 70 ⇒ 100 + x = 140 ⇒ x = 40

Explanation:

A clock is started at noon . By 10 minutes past 5, the hour hand has turned through: Correct Answer 155° Angle traced by hour hand in 12 hrs = 360° ,, ,, ,, ,, ,, in 5 hrs 10 min i.e. 316 hrs = (36012×316) = 155°

Explanation:

Today jishan is twice as old as Farid and Samsu is 2 younger than Farid four years ago Jishan was 4 times as old as Samu. How old is Jishan now? Correct Answer 20 ধরি, Farid - এর বর্তমান বয়স x বছর ∴ - এর বতমান বয়স 2x বছর ∴ Samsu - এর বতমান বয়স (x - 2) বছর ∴ 2x - 4 = 4 (x - 2 - 4) ⇒ 2x - 4 = 4 (x - 6) ⇒ 2x - 4 = 4x - 24 ⇒ 2x = 20 ⇒ x = 10 ∴ Jishan - এর বতমান বয়স 2x = 2×10 = 20 বছর

Explanation:

If x⩽ 8 and y⩽ 3, it must be true that Correct Answer x-y⩾5 x⩾8 এবং y⩽3 ⇒3⩾y এখন, x + 3 ⩽ 8 + y ∴ x - y ⩾ 5

Explanation:

A manufacturer of TV wants to make a profit of Tk. 30000 on sale of 200 TV sets. It costs Tk. 10000 to make each of the first 100 TV sets and Tk. 7500 make each TV set after the first 100 sets. What should be the selling price of each TV set? Correct Answer 10,250 প্রথম 100 টিভির cost price (100×10000) = 1,00,000 টাকা পরের 100 " '' (100×7500) = 7,50,00 ∴ Total cost = (10,00,000 + 7,50,000) = 1,75,000 টাকা Selling price = (17,50,000 + 3,00,000) = 20,50,000 টাকা ∴ প্রতিটি TV - র selling price = 20,50,000200 = 10250

Explanation:

A hawker takes 1.25 hours to deliver newpaper on his route. Another howker takes 15 minutes longer to deliver these papers on the same route. How long would it take to deliver the papers if both of them worked together? Correct Answer 40 minutes একজনের paper delivery করতে সময় লাগে 1.25 বা 75 মিনিট অন্যজনের '' '' '' '' '' '' (75 + 15) = 90 মিনিট ∴ দুজনের একত্রে সময় লাগে = 75×9075 + 90 = 6750165 = 40.90 বা 40 মিনিট

Explanation:

If mx + ny = 12my , then xy+nm= Correct Answer 12 Given that, mx + ny = 12my Dividing each sides by my .'.

Explanation:

A painter has painted one -third of a rectangular wall which is ten feel high. When he will paint another 75 square feet of that wall, he will have finished three-quaters of the job. What is the length (the horizontal dimension) of the wall? Correct Answer 18 feet ধরি, wall - এর area = x বর্গফুট ∴13×x + 75 = 34×x ⇒x3 - 3x3 = - 75 ⇒3x4 - x3 = 75 ⇒9x - 4x12 = 75 ⇒5x = 12×75 ⇒ x = 180 ∴ Wall - এর দৈর্ঘ্য 18010 = 18 feet

Explanation:

A sales respresentive will recieve a 15% commission on a sale of Tk. 28,000 If she has already received Tk. 15000 as an advance that commission, How much more is due on the commission Correct Answer Tk. 2700 Total commission (28000×15%) = 4200 টাকা 1500 টাকা অগ্রিম গ্রহণ করায় commission বকেয়া আছে (4200 - 1500) = 2700 টাকা।

Explanation:

There are 8 Job applicants sitting in a waiting room of which four are women and four are men. If two of the applicants are selected at random. What is the probality that both will be women?` Correct Answer 3/14 এখানে, প্রথম selection - এ একজন woman আসার probability = 48 = 12 প্রথম woman আসার পর 2য় বার একজন woman আসার probability = 3/7 ∴ দুইবার woman আসার মোট probability = 12×37 = 314 .

Explanation:

three business parners Q, R, and S agree to divide thier total profit for certain year in the ratios 2:5:5 respectively . If Q's share was Tk. 4000 what was the total profit of the business partners for the year? Correct Answer Tk. 30,000 A,B ও C - এর বিনিয়োগের অনুপাত 5 : 7 : 8 ∴ অনুপাতের যোগফল (2 + 5 + 8) = 15 প্রশ্নমতে, ‍Share - এর 215 অংশ = 4000 ∴ " " 15 বা full " 4000×152 = 30000

Explanation:

A class of 50 girls and 70 boys sponsored a party. If 40% of the girls and 50% of the boys attended the party, approximately what percent of the attended? Correct Answer 46 Party - তে girls attend করে(50×40%) = 20 জন " boys '' '' (70×50%) = 35 জন ∴ Party - তে শতকরা attend করে 20 + 3550 + 70×100 = 55120×100 = 45.83 ≈ 46 জন

Explanation:

Increasing the original price of an item by 15 percent and then decreasing the new price by 15 percent is equivalent to increase the orginal price by Correct Answer None of these Net effect = (15 - 15 - 15×15100)% = - 2.25% অর্থাৎ original price কমেছে। অতএব, উত্তর হবে 2.25% None of these ।

Explanation:

In a weight -lifting competion, the total weight of Jabir's two lifts was 750 pounds. Twice the weight of this lift was 300 pounds more than the weight of his secnd lift. What was the weight , in pounds, of his first lift? Correct Answer 350 ধরি, First lift - এর weight x pounds ∴ second lift - এর weight (750 - x)pounds প্রশ্নমতে, 2x = (750 - x) + 300 2x = 1050 - x 3x = 1050 x = 350

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 সংখ্যার সমষ্টি (8.5×6) = 51 বাকি ৫ টি সংখ্যার সমষ্টি (7.2×5) = 36 ∴ বাদ দেয়া সংখ্যাটি হলো (51 - 36) = 15

Explanation:

A worker union contract specifies a 6 percent salary increase plus a Tk 450 bonus foro each worker. For a worker this is equivalent to 8 percent salary increase,. What was this worker's salary before the new contract Correct Answer Tk. 22500 ধরি, পূর্বে salary ছিল x টাকা ∴x×6% + 450 = x×8% ⇒6x100 + 450 = 8x100 ⇒6x + 45000100 = 8x100 ⇒ 6x + 45000 = 8x ⇒ 2x = 45000 ∴ x = 22500

Explanation:

Hashen wants to put up fencing around three of his rectangular yard and leave a side of 20 feet unfenced. If the yard has area of 680 square feet, How many feet of fencing does he need? Correct Answer 88 আয়তাকার yard - এর ক্ষেত্রফল 680 বর্গফুট আয়তাকার yard - এর one side 20 ফুট ∴ yard - এর অন্য side = 68020 = 34 ফুট ∴ আয়তাকার yard - এর 3 side - এ বেড়ার প্রয়োজন হবে (2×34) + 20 = 44 ফুট

Explanation:

Rahim average 70 in his first m number of exams. After taking n more exams, he had an overall average of 75. In items of m and n his average for last n exams was Correct Answer (5n/m)+75 m সংখ্যক exam - এর সমষ্টি 70m ধরি, n সংখ্যক exam - এর গড় x ∴ n সংখ্যক exam - এর সমষ্টি nx ∴ 70m + nx = 75 (m + n) ⇒ 70m + nx = 75 m + 75 m ⇒ nx = 5 m + 75n ⇒x =  5 m + 75n n = 5mn + 75

Explanation:

Last week , Sohan's hourly wage has been increased by 10percent. After this increase Sohan's total wage tk. 1375 . If his weekly hours were to decrease by 10 percent from last week's total hours, What would be the Sohan's weekly wage? Correct Answer none of these 10% বৃদ্ধিতে Sohan - এর weekly income হবে (1375 + 1375×10%) = 1512.5 টাকা Weekly hours 10% কমে যাওয়ায় তার income - ও 10% কমে যাবে ∴ New income = 1512.5 - 1512.5×10% = 1361.25 টাকা সুতরাং Sohab - এর weekly income 1361.25 টাকা। সঠিক উত্তর : None of these

Explanation:

Evaluate :41-21+19-19 Correct Answer 6 Scarmble মানে অগোছালো। প্রদত্ত word - গুলো unscramble অর্থাৎ সাজালে যথাক্রমে পাওয়া যায় FOOTBALL, CRICKET, TABLE, এবং GOLF, Odd one অর্থাৎ এদের সাথে যেটি মিলে না সেটি হচ্ছে TABLE।

Explanation:

Evaluate 41-21+19-9 Correct Answer 6 Unit digit মানে এককের স্থানের অংক 71 = 7 একক স্থানের অংক 7 72 = 21 " " " 9 73 = 49 × 7 = 343; ফলে 3 হবে 73 এর একক স্থানের অংক 74 = ~73 × 7 = 2401 একক স্থানের অংক 1 75 ~74 × 7 = ~16807 একক স্থানের অঙ্ক 7 এখন 71 এবং 75 repeat হয়েছে, তাহলে 79 এরও একক স্থানের অঙ্ক 7, তাহলে (7 - 6) = 7 - 6 = 1

Explanation:

A garrison of 500 men had provisions for 27 days. After 3 days a reinforcement of 300 men arrived . For how many more days will the remaining food last now? Correct Answer 15 Diameter দিয়ে বৃত্তের Area equation = πd24 যদি diameter double হয়, তবে Area বর্গ আকাড়ে বাড়ে। so time = 60min4 = 15 min

Explanation:

Asif purchased a ratio from a store and sold it to Rahim and made a profit of 20%. After few months, Rahim sold the same ratio to Fahad and incurred a loss of 15% . If Fahad bought the ratio for Tk. 510, What was the original price of the ratio? Correct Answer None of these ধরি, Radio - এর প্রকৃতমূল্য x টাকা প্রশ্নমতে, n×1.2×0.85 = 510 ⇒x = 510×10×10012×85 = 500. সঠিক উত্তর : None of these

Explanation:

Two third of the 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 ধরি, total faculty member - এর সংখ্যা x জন ∴ female " " " '' 2x3 " ∴ male " " " " x3 " প্রশ্নমতে, x3 - x3×60% = 12 ⇒x3 - x5 = 12 ⇒2x15 = 12 ∴ x = 90

Explanation:

If a is 150 percent of B, then B is what percent of (A+B)? Correct Answer 40% এই ধরনের math করতে ছবি একে ফেলুন direction দেখে দেখে। এই ক্ষেত্রে নিচের ছবিটি হবে।

Explanation:

যদি a + b =2 , ab =1 , হয়, তবে a এবং b এর মান যথাক্রমে __ সঠিক উত্তর 1,1 দেয়া আছে, a + b = 2..... (1) ab = 1......(2) আমরা জানি, (a - b)² = (a + b)² - 4ab (a - b)² = > 2² - 4.1 (a - b)² = 4 - 4 ∴a - b = 0 ..... (3) (1) + (3) করে পাই, 2a = 2 = > a = 1 (1) - (3) করে পাই, 2b = 2 = > b = 1

Explanation:

পরপর তিনটি সংখ্যার গুণফল ১২০ হলে, তাদের যোগফল হবে_ সঠিক উত্তর ১৫ ১২০ এর উৎপাদকসূহ ১, ২, ৩, ৪, ৫, ৬, ৮, ১০, ১২, ১৩, ১৫, ২০, ২৪, ৪০, ৬০ ও ১২০। ৪×৫×৬ = ১২০ ∴ সংখ্যাটি তিনটির যোগফল = ৪ + ৫ + ৬ = ১৫ ।

Explanation:

একটি ৪৮ মিটার লম্বা খুঁটি ভেঙ্গে গিয়ে সম্পূর্ণভাবে বিচ্ছিন্ন না হয়ে ভূমির সাথে ৩০° কোণ উৎপন্ন করে । খুঁটিটি কত উচুতে ভেঙেছিল? সঠিক উত্তর ১৬ মিটার মনে করি, AB একটি খুঁটি যার দৈর্ঘ্য 48 মি.। খুঁটিটির D বিন্দুতে ভেঙে ভূমির সাথে 30° কোণ উৎপন্ন করে। BD = x মি. এবং AD = CD = (48 - x) মি. এখন, Sin 30° = (BD/CD) = (x/48 - x) বা, 1/2 = (x/48 - x) বা, 2x = 48 - x বা, 3x = 48 ∴x = 16

Explanation:

x2+bx +10= 0  এর একটি সমাধান ২ হয়, তবে B এর মান কত? সঠিক উত্তর -9 x³ + Bx + 10 = 0 বা, 2³ + B2 + 10 = 0 বা, 8 + 2B + 10 = 0 বা, 2B = - 18 ∴ B = - 9