mathematics MCQs
Showing 50 questions (Total: 16798)
প্রতি 100 মিটার অন্তর রাস্তার একই পার্শ্বে যদি একটি বৈদ্যুতিক বাতি লাগানো হয়, তবে 1000 মিটার দীঘৃ 4 সারি বিশিষ্ট (Lane) রাস্তার সকল পার্শ্বে বৈদ্যুতিক বাতি লাগাতে মোট কয়টি বাতির প্রয়োজন হবে?
Correct Answer:
ঘ: 55
Explanation:
প্রতি 100 মিটার অন্তর রাস্তার একই পার্শ্বে যদি একটি বৈদ্যুতিক বাতি লাগানো হয়, তবে 1000 মিটার দীঘৃ 4 সারি বিশিষ্ট (Lane) রাস্তার সকল পার্শ্বে বৈদ্যুতিক বাতি লাগাতে মোট কয়টি বাতির প্রয়োজন হবে? সঠিক উত্তর 55 ব্যাখাঃ চার সারি বিশিষ্ট ১০০০ মিটার সড়কের পার্শ্ব হবে ৫ টি ১০০ মিটার অন্তর ১ পার্শ্বে গাছ লাগবে (১০০০/১০০ + ১) টি = (১০ + ১) টি = ১১ টি ৫ পার্শ্বে গাছ লাগবে মোট (১১×৫) বা ৫৫ টি
If m and n are whole numbers such that m^n = 121, the value of (m-1)^n+1 is
Correct Answer:
D: 1000
শতকরা বার্ষিক 5 টাকা হার সরল সুদে কত টাকা 12 বছরে সুদেেআসলে 1248 টাকা হবে?
Correct Answer:
গ: 780 টাকা
Explanation:
শতকরা বার্ষিক 5 টাকা হার সরল সুদে কত টাকা 12 বছরে সুদেেআসলে 1248 টাকা হবে? সঠিক উত্তর 780 টাকা ব্যাখাঃ ১০০ টাকায় ১ বছরের সুদ = ৫ টাকা ১০০ টাকায় ১২ বছরের সুদ = ৫×১২ = ৬০ টাকা ১০০ টাকায় ১২ বছরে সুদে - আসলে হবে = ( ১০০ + ৬০) টাকা = ১৬০ টাকা সুদাসল ১৬০ টাকা হলে আসল = ১০০ টাকা সুদাসল ১২৪৮ টাকা হলে আসল = (১০০×১২৪৮)/১৬০ = ৭৮০ টাকা
From the profits of a certain investment, Faisal got 1/3 of the total profit and three of his friends each got 1/3 of the rest. If Faisal and one of his friends got a total of 60000 taka, what was the total profit?
Correct Answer:
C: 108000 taka
Explanation:
From the profits of a certain investment, Faisal got 1/3 of the total profit and three of his friends each got 1/3 of the rest. If Faisal and one of his friends got a total of 60000 taka, what was the total profit? Correct Answer 108000 taka Let, total profit be taka x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math>Faisal get taka <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>3</mn></mfrac></math>So, each of the friends get <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac><mfenced><mrow><mi>x</mi><mo>&#xA0;</mo><mo> - </mo><mo>&#xA0;</mo><mfrac><mi>x</mi><mn>3</mn></mfrac></mrow></mfenced></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>9</mn></mfrac></math> So <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>3</mn></mfrac><mo>&#xA0;</mo><mo> + </mo><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>9</mn></mfrac></math> = 60,000 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>5</mn><mi>x</mi></mrow><mn>9</mn></mfrac></math> = 60,000 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math>x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>60</mn><mo>,</mo><mn>000</mn><mo>&#xD7;</mo><mn>9</mn></mrow><mn>5</mn></mfrac></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> x = 1,08,000
If a certain product that sells normally at 59 taka is on sale at two for 99 taka, then how much can Fahim save by purchasing 10 of that product?
Correct Answer:
C: 95 taka
Explanation:
If a certain product that sells normally at 59 taka is on sale at two for 99 taka, then how much can Fahim save by purchasing 10 of that product? Correct Answer 95 taka At two for 99 taka, two price of 10 product = 5 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xD7;</mo><mo>&#xA0;</mo></math> 99 = 495 tk at original price ,, ,, ,, 10 ,, = 10 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xD7;</mo><mo>&#xA0;</mo></math> 59 = 590 tk <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math>he saves = 590 – 495 = 95 tk.
A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Tk. 10 less, he would have gained 40%. Determine the cost price of the pair of sunglasses.
Correct Answer:
B: Tk. 50
Explanation:
A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Tk. 10 less, he would have gained 40%. Determine the cost price of the pair of sunglasses. Correct Answer Tk. 50 ধরি, সানগ্লাসের ক্রয়মূল্য 100 টাকা 25% লাভে বিক্রয়মূল্য = 100 + 100 এর 25% = 100 + 25 = 125 টাকা আবার, 25% কমে কিনলে ক্রয়মূল্য হতো (100 – 100 এর 25%) টাকা = (100 – 25) বা, 75 টাকা সেক্ষেত্রে, 40% লাভে বিক্রয়মূল্য = 75 + 75 এর 40% = 75 + 30 = 105 টাকা বিক্রয়মূল্যের পার্থক্য (125 – 105) বা 20 টাকা বিক্রয়মূল্য 20 টাকা কম হলে মূল ক্রয়মূল্য 100 টাকা ∴ ‘’ 10 ” ” ” ” ” 100×1020 = 50 টাকা
A culprit was spotted by a policeman from a distance of 250 meter. When the policeman started running towards the culprit at a speed of 10 km/h, the culprit also fled. If his speed was 8 km/h, find how far the culprit had run before he was overpowered.
Correct Answer:
A: 1km
Explanation:
A culprit was spotted by a policeman from a distance of 250 meter. When the policeman started running towards the culprit at a speed of 10 km/h, the culprit also fled. If his speed was 8 km/h, find how far the culprit had run before he was overpowered. Correct Answer 1km পুলিশের গতিবেগ 10 km/hr অপরাধীর ” 8 km/hr অপরাধী সাপেক্ষে পুলিশের আপেক্ষিক গতিবেগ 2 km/hr অর্থাৎ পুলিশ প্রতি ঘণ্টায় 2 km সামনে আগায়। এখন, 25O1m = 0.25 km পুলিশ 2k আগায়1 ঘণ্টায় ∴ " 0.25 " 0.252 = 0.125 " এই সময়ে অপরাধী অতিক্রম করে (0.125 × 8) km = 1 km
Three friends each contributed 8000 taka to buy a computer. If they bought the computer for 19500 taka plus 10% tax, how much money will each of them get back from the inital contribution?
Correct Answer:
C: 850 taka
Explanation:
Three friends each contributed 8000 taka to buy a computer. If they bought the computer for 19500 taka plus 10% tax, how much money will each of them get back from the inital contribution? Correct Answer 850 taka 8000 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xD7;</mo></math> 3 = 24000 tk 19500 + 10% of 19500 = 21450 tk 21450 + 3 = 7150 tk So, each of them get back Tk (8000 – 7150) = Tk 850
The difference between the compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is Tk. 15. Find the principal amount.
Correct Answer:
D: Tk. 6,000
Explanation:
The difference between the compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is Tk. 15. Find the principal amount. Correct Answer Tk. 6,000 I1 = pnr = p×2×51200 = p10 c = p 1 + 51002 = 1.1025p I2 = 1.1 .25p - p = 0 .1025p শর্তমতে, 0.1025p - p10 = 15 ⇒0.1025p = 150 ∴p = 6000
Rakid lives 4km due west of Faisal's house. Asif lives 6km due north of Faisl's house and 4km due west of Hamed's house. What is the minimum distance from Rakib's house to Hamed's house?
Correct Answer:
D: 10km
Explanation:
Rakid lives 4km due west of Faisal's house. Asif lives 6km due north of Faisl's house and 4km due west of Hamed's house. What is the minimum distance from Rakib's house to Hamed's house? Correct Answer 10km Look at the picture below: So, distance <math xmlns = "http://www.w3.org/1998/Math/MathML"><msqrt><msup><mn>8</mn><mn>2</mn></msup><mo> + </mo><msup><mn>6</mn><mn>2</mn></msup></msqrt><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><msqrt><mn>100</mn></msqrt><mo>&#xA0;</mo><mo> = </mo><mn>10</mn><mi>k</mi><mi>m</mi></math>
Rahat completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Correct Answer:
D: 224 km
Explanation:
Rahat completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km. Correct Answer 224 km Total time taken = 10 hrs Let the time taken for first half of journey = x hours So, 21x = (10 – x) <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xD7;</mo></math> 24 or, 21x = 240 – 24x or, 45x = 240 or, x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>21</mn><mo>&#xA0;</mo><mo>&#xD7;</mo> <mo>&#xA0;</mo><mfrac><mn>48</mn><mn>9</mn></mfrac><mo> + </mo><mn>24</mn><mo>&#xA0;</mo><mfenced><mrow><mn>10</mn><mo> - </mo><mo>&#xA0;</mo><mfrac><mn>48</mn><mn>9</mn></mfrac></mrow></mfenced></math> Hence, total journey = 21x + (10 - x) 24 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>42</mn><mn>9</mn></mfrac></math> = 21x + (10 – x) 24 = 112 + 112 = 224 km
In order to pass an examination, a student is required to get 35% of the maximum marks. If a student scored a total of 381 marks and failed by 144 marks, determine the maximum marks for the examination.
Correct Answer:
B: 1,500
Explanation:
In order to pass an examination, a student is required to get 35% of the maximum marks. If a student scored a total of 381 marks and failed by 144 marks, determine the maximum marks for the examination. Correct Answer 1,500 ATQ, Needed marks to be passed is 381 + 144 = 525As the student needs 35% of the maxium marks to passi.e. 525 = 35% of the maximum marksSo, 35% = 525 marks 1% = 525/35 marks 100% = (525/35)*100 marks = 1500 Marks. ANS
If x is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer?
Correct Answer:
C: n/12
Explanation:
If x is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer? Correct Answer n/12 Numbers that are divisible by 6 but not 4 are : 6, 18, 30 ..... all there numbers when divided by 12 cannot be an integer.
A man has Tk. 210 in coins alone. The coins consist of one taka, 50 paisa and whose numbers form a ratio of 5 : 6 : 8 respectively. How many coins are there in the 50 paisa denomination?
Correct Answer:
C: 126
Explanation:
A man has Tk. 210 in coins alone. The coins consist of one taka, 50 paisa and whose numbers form a ratio of 5 : 6 : 8 respectively. How many coins are there in the 50 paisa denomination? Correct Answer 126 ধরি, 1 টাকা 5x টি 50 পয়সা 6x ” 25 ” 8x ” শর্তমতে, 5x × 1 + 6x × 50100 + 8x × 25100 = 210 ⇒ 5x + 3x + 2x = 210 ⇒10x = 210 ∴ x = 21 ∴ 50 পয়সার মুদ্রা আছে (6 × 21) টি = 126 টি
The area of a rectangular plot is 460 square metres, if the lenght is 15% more than the breadth, what is the breadth of the plot?
Correct Answer:
B: 20 metres
Explanation:
The area of a rectangular plot is 460 square metres, if the lenght is 15% more than the breadth, what is the breadth of the plot? Correct Answer 20 metres Let, breadth = x metres Then length = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#xA0;</mo><mo> + </mo><mo>&#xA0;</mo><mfrac><mrow><mn>15</mn><mi>x</mi></mrow><mn>100</mn></mfrac><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mfrac><mrow><mn>15</mn><mi>x</mi></mrow><mn>100</mn></mfrac></math> metres So, x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xD7;</mo><mo>&#xA0;</mo><mfrac><mrow><mn>115</mn><mi>x</mi></mrow><mn>100</mn></mfrac></math> = 460 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> 115<math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> = 46000 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> = 400 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> x = 20
The ratio of the age of a man and his wife is 4:3. At the time of their marriage the ratio was 5:3 and after 4 years this ratio will become 9:7. How many years ago were they married?
Correct Answer:
A: 12 years
Explanation:
The ratio of the age of a man and his wife is 4:3. At the time of their marriage the ratio was 5:3 and after 4 years this ratio will become 9:7. How many years ago were they married? Correct Answer 12 years Let, gentleman's current age be g, women's w, and they were m years ago married. Now, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>g</mi><mi>w</mi></mfrac><mo>&#xA0;</mo><mfrac><mn>4</mn><mn>3</mn></mfrac></math> and,<math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>g</mi><mo> + </mo><mn>4</mn></mrow><mrow><mi>w</mi><mo> + </mo><mn>4</mn></mrow></mfrac><mo> = </mo><mfrac><mn>9</mn><mn>7</mn></mfrac></math>and, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>g</mi><mo> - </mo><mi>m</mi></mrow><mrow><mi>w</mi><mo> - </mo><mi>m</mi></mrow></mfrac><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mfrac><mn>5</mn><mn>3</mn></mfrac></math> Solving, g = 32, m = 12, w = 24
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is two-third of the number of students of 8 years of age which is 48. what is the total number of students in the school?
Correct Answer:
D: 100
Explanation:
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is two-third of the number of students of 8 years of age which is 48. what is the total number of students in the school? Correct Answer 100 Let, the number be x then Number of students above 8 years age = (100 - 201% of x) = 80% of x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> 48 + <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xA0;</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></math> of 48 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo><mfrac><mn>80</mn><mn>100</mn></mfrac></math> x = 80<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> x = 100
The number (6n²+ 6n) for natural n is always divisible by
Correct Answer:
C: 6 and 12
Explanation:
The number (6n²+ 6n) for natural n is always divisible by Correct Answer 6 and 12 6n2 + 6n = 6n(n + 1) n = 1 হলে, 6n(n + 1) = 6.1(1 + 1) = 12 n = 2 ” 6n(n + 1) = 6.2(2 + 1) = 36 n = 3 ” 6n(n + 1) = 6.33 + 1) = 72 ∴ (6n2 + 6n) সর্বদা 6 ও12 দ্বারা বিভাজ্য।
Hasib took a loan of 1400 tk with simple interest for as many years as the rate of interest. If he paid 126 th as interest at the end of the loan period , what was the rate of interest?
Correct Answer:
A: 3%
Explanation:
Hasib took a loan of 1400 tk with simple interest for as many years as the rate of interest. If he paid 126 th as interest at the end of the loan period , what was the rate of interest? Correct Answer 3% Let rate = R% and time = R years Then <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>&#xA0;</mo><mfrac><mrow><mn>1400</mn><mo>&#xA0;</mo><mo>&#xD7;</mo><mo>&#xA0;</mo><mi>R</mi><mo>&#xD7;</mo><mi>R</mi></mrow><mn>100</mn></mfrac></mrow></mfenced></math> = 126 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo><mn>14</mn><msup><mi>R</mi><mn>2</mn></msup></math> = 126 <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup></math> = 9 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> R = 3
The cost of preparing a cricket ground of rectangular shape at 70 paisa per square meter is Tk. 420. Find the perimeter of the field if its sides are in the ratio of 3 : 2.
Correct Answer:
A: 100m
Explanation:
The cost of preparing a cricket ground of rectangular shape at 70 paisa per square meter is Tk. 420. Find the perimeter of the field if its sides are in the ratio of 3 : 2. Correct Answer 100m ধরি, দৈর্ঘ্য 3x মিটার প্রস্থ মিটার ∴ ক্ষেত্রফল 6x2 বর্গমিটার শর্তমতে, 6x2 × 70 = 420 × 100 = 420 ⇒420x2 × 100 ⇒x2 = 100 ∴x = 10 ∴ পরিসীমা = 2(3x + 2) = 10x = 10 × 10 = 100
A batsman makes a score of 87 runs in the 17th ining and thus increases his average by 3. What is his average after 17th innings?
Correct Answer:
C: 39
Explanation:
A batsman makes a score of 87 runs in the 17th ining and thus increases his average by 3. What is his average after 17th innings? Correct Answer 39 Let the average after 17th match is x then average before 17th match is x – 3 So, 16(x – 3) + 87 = 17x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> x = 87 – 48 = 39
A die is rolled twice. What is the probability of getting a sum equal to 9?
Correct Answer:
D: 1/9
Explanation:
A die is rolled twice. What is the probability of getting a sum equal to 9? Correct Answer 1/9 Total number of out comes possible when a die is rolled = 6 Hence, total number of out comes possible when a die is rolled twice, n(s) = 6 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#xD7;</mo></math> 6 = 36 E = Geting a sum of 9 when the two dice fell = {(3,6), (4,5), (5,4), (6,3)} Hence n (E) = 4 P(E) = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>n</mi><mo>(</mo><mi>E</mi><mo>)</mo></mrow><mrow><mi>n</mi><mo>(</mo><mi>S</mi><mo>)</mo></mrow></mfrac><mo> = </mo><mo>&#xA0;</mo><mfrac><mn>4</mn><mn>36</mn></mfrac><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mfrac><mn>1</mn><mn>9</mn></mfrac></math>
Two student appeared at an examination. One of them secured 9 makes more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are :
Correct Answer:
C: 42, 33
Explanation:
Two student appeared at an examination. One of them secured 9 makes more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are : Correct Answer 42, 33 Let their marks be (x + 9) and x Then, x + 9 = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>56</mn><mn>100</mn></mfrac></math> (x + 9 + x) 25(x + 9) = 14 (2x + 9) 3x = 99 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> x = 33 so, their marks are 42 and 33
Six bells starts ringing logether and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes?
Correct Answer:
D: 31
Explanation:
Six bells starts ringing logether and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes? Correct Answer 31 LCM of 4, 8, 10, 12, 15 and 20 = 120 120 seconds = 2 minutes Hence all the bells will ring together in every 2 minutes Hence, number of times they will ring together in 60 minutes = 1 + <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>60</mn><mn>2</mn></mfrac></math> = 31
If a number is divisible by 102 then it is also divisible by which of the following number?
Correct Answer:
D: All of these
Explanation:
If a number is divisible by 102 then it is also divisible by which of the following number? Correct Answer All of these As 102 is divisible by 2, 3 and 17 then the number which is divisible by 102 is also divisible by all of three numbers.
All 120 students in a class play cricket or football or both, 75 play cricket and 60 play football. How many students play both?
Correct Answer:
B: 15
Explanation:
All 120 students in a class play cricket or football or both, 75 play cricket and 60 play football. How many students play both? Correct Answer 15 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>(</mo><mi>A</mi><mo>&#x222A;</mo><mi>B</mi><mo>)</mo><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mi>n</mi><mo>(</mo><mi>A</mi><mo>)</mo><mo> + </mo><mi>n</mi><mo>(</mo><mi>B</mi><mo>)</mo><mo> - </mo><mi>n</mi><mo>(</mo><mi>A</mi><mo>&#x2229;</mo><mi>B</mi><mo>)</mo></math>⇒ 120 = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>75</mn><mo> + </mo><mn>60</mn><mo> - </mo><mi>n</mi><mo>(</mo><mi>A</mi><mo>&#x2229;</mo><mi>B</mi><mo>)</mo></math>⸫ <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>(</mo><mi>A</mi><mo>&#x2229;</mo><mi>B</mi><mo>)</mo><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mn>15</mn></math>
if a-b=3 and a2+b2=29,find the value of ab-
Correct Answer:
C: 16
If x+y=4 and y+z=8 and z+x=6, then 2x-y-z=?
Correct Answer:
D: None of these
Explanation:
If x+y=4 and y+z=8 and z+x=6, then 2x-y-z=? Correct Answer None of these x + y = 4y + z = 8z + x = 6⸫ 2x + 2y + 2z = 4 + 8 + 6Now 2x + 2y + 2z - 3(y + z) = 4 + 8 + 6 - 3(y + z)2x - y - z = 4 + 8 + 6 - 3×8 [y + z = 8] = - 6
Son's age is now one third of father's age. In 12 years from now son's age will be one half of father's age. What is the son's age
Correct Answer:
C: 12
Explanation:
Son's age is now one third of father's age. In 12 years from now son's age will be one half of father's age. What is the son's age Correct Answer 12 Let, the son's age be x, so father's age is 3xNow, x + 12 = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>(</mo><mn>3</mn><mi>x</mi><mo> + </mo><mn>12</mn><mo>)</mo></mrow><mn>2</mn></mfrac></math>⇒ 2x + 24 = 3x + 12⇒ x = 12
A typist can type 125 pages, 36 lines cach, 11 words in each line in 5 days. How many pages of 30 lines each and 12 words to each line can he type in 6 days?
Correct Answer:
B: 165
Explanation:
A typist can type 125 pages, 36 lines cach, 11 words in each line in 5 days. How many pages of 30 lines each and 12 words to each line can he type in 6 days? Correct Answer 165 In 5 days writes 36 lines with 11 words and produces 125 pages⸫ " 1 " " 36 " " 11 " " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>125</mn><mn>5</mn></mfrac></math> pages ⸫ " 1 " " 1 " " 1 " " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>125</mn><mo>&#xD7;</mo><mn>36</mn><mo>&#xD7;</mo><mn>11</mn></mrow><mn>5</mn></mfrac></math> "⸫ " 1 " " 30 " " 12 " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>125</mn><mo>&#xD7;</mo><mn>36</mn><mo>&#xD7;</mo><mn>11</mn><mo>&#xD7;</mo><mn>6</mn></mrow><mrow><mn>5</mn><mo>&#xD7;</mo><mn>30</mn><mo>&#xD7;</mo><mn>12</mn></mrow></mfrac></math> " = 165 pages
5% merchandise of a trader was stolen and another 5% was damaged during transportation. At what profit (in %) should he sell the rest of the merchandise so that he can make an overall profit of 20%?
Correct Answer:
D: 33.33%
Explanation:
5% merchandise of a trader was stolen and another 5% was damaged during transportation. At what profit (in %) should he sell the rest of the merchandise so that he can make an overall profit of 20%? Correct Answer 33.33% The remaining is (100 - 5 - 5)% = 90% of the merchendise unit.The difference between merchandise and profit = (120 - 90) = 30 unit90% merchandise (unit) has to make 30 unit profit ⸫ 1% " " " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>30</mn><mn>90</mn></mfrac></math> " "⸫ 100% " " " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>30</mn><mo>&#xD7;</mo><mn>100</mn></mrow><mn>90</mn></mfrac></math> " " = 33.33%
In a group of 4 people, the height of the group members are 5 feet 4 inches, 5 feet, 5 feet 6 inches, and 4 feet 10 inches. The average height of the group members is :
Correct Answer:
C: 5 feet 2 inches
Explanation:
In a group of 4 people, the height of the group members are 5 feet 4 inches, 5 feet, 5 feet 6 inches, and 4 feet 10 inches. The average height of the group members is : Correct Answer 5 feet 2 inches First we convert all the length to inches (the smaller unit), then we average and finally conver to feet and inchs. At 12 inches make 1 foot, soAverage = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>12</mn><mo>(</mo><mn>5</mn><mo> + </mo><mn>5</mn><mo> + </mo><mn>5</mn><mo> + </mo><mn>4</mn><mo>)</mo><mo> + </mo><mn>4</mn><mo> + </mo><mn>0</mn><mo> + </mo><mn>6</mn><mo> + </mo><mn>10</mn></mrow><mn>4</mn></mfrac></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>12</mn><mo>&#xD7;</mo><mn>19</mn><mo> + </mo><mn>4</mn><mo> + </mo><mn>6</mn><mo> + </mo><mn>10</mn></mrow><mn>4</mn></mfrac></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>228</mn><mo> + </mo><mn>5</mn><mo> + </mo><mn>6</mn><mo> + </mo><mn>10</mn></mrow><mn>4</mn></mfrac></math> = 62 inches = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>62</mn><mn>12</mn></mfrac></math> feet = 5.1666 feet
If the area of a square increase by 69%, then side of the square increases by ---
Correct Answer:
C: 30%
Explanation:
If the area of a square increase by 69%, then side of the square increases by --- Correct Answer 30% It is best to back calculation from the answer.For 13% increse in side, area increases = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>13</mn><mo> + </mo><mn>13</mn><mo> + </mo><mfrac><mrow><mn>13</mn><mo>&#xD7;</mo><mn>13</mn></mrow><mn>100</mn></mfrac><mo> = </mo><mn>27</mn><mo>.</mo><mn>69</mn><mo>%</mo></math>For 29% " " " " " " = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>29</mn><mo> + </mo><mn>29</mn><mo> + </mo><mfrac><mrow><mn>29</mn><mo>&#xD7;</mo><mn>29</mn></mrow><mn>100</mn></mfrac><mo> = </mo><mn>66</mn><mo>.</mo><mn>41</mn><mo>%</mo></math>For 30% " " " " " " = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>30</mn><mo> + </mo><mn>30</mn><mo> + </mo><mfrac><mrow><mn>30</mn><mo>&#xD7;</mo><mn>30</mn></mrow><mn>100</mn></mfrac><mo> = </mo><mn>69</mn><mo>%</mo></math>
what is the total interest on Tk. 800 at 12.5% per annum for 9 months?
Correct Answer:
B: 75
Explanation:
what is the total interest on Tk. 800 at 12.5% per annum for 9 months? Correct Answer 75 1 = pnr = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>800</mn><mo>&#xD7;</mo><mfrac><mrow><mn>12</mn><mo>.</mo><mn>5</mn></mrow><mn>100</mn></mfrac><mo>&#xD7;</mo><mfrac><mn>9</mn><mn>12</mn></mfrac></math> = 75
A radio costs a shopkeeper Tk. 64. At what price must he sell it if he is to make a profit of 20% on the selling price?
Correct Answer:
A: 76.80
Explanation:
A radio costs a shopkeeper Tk. 64. At what price must he sell it if he is to make a profit of 20% on the selling price? Correct Answer 76.80 for 20% profit, If cost price is 100 then selling price is 120⸫ " " " " 1 " " " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>120</mn><mn>100</mn></mfrac></math> ⸫ " " " " 64 " " " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>120</mn><mo>&#xD7;</mo><mn>64</mn></mrow><mn>100</mn></mfrac></math> = 76.80
Find the missing number of the following series. 212, 179, 146, 113?
Correct Answer:
D: 80
Explanation:
Find the missing number of the following series. 212, 179, 146, 113? Correct Answer 80 212 - 179 = 33, 179 - 146 = 33, 146 - 133 = 33 so the desired blank number can be find.
If APPLE converts to ELPPA then 256478 would be?
Correct Answer:
D: 874652
Explanation:
If APPLE converts to ELPPA then 256478 would be? Correct Answer 874652 The letters are just written reversibly.
How may pieces of 85 cm length can be cut from a road 42.5 metres long?
Correct Answer:
D: None of these
Explanation:
How may pieces of 85 cm length can be cut from a road 42.5 metres long? Correct Answer None of these <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>42</mn><mo>.</mo><mn>5</mn><mo>&#xD7;</mo><mn>100</mn><mo> = </mo><mn>4250</mn><mo>&#xA0;</mo><mi>c</mi><mi>m</mi><mspace linebreak = "newline"/><mn>4250</mn><mo>&#xA0;</mo><mi>c</mi><mi>m</mi><mo>/</mo><mn>85</mn><mo>&#xA0;</mo><mi>c</mi><mi>m</mi><mo>&#xA0;</mo><mo> = </mo><mn>50</mn><mo>&#xA0;</mo><mi>p</mi><mi>i</mi><mi>e</mi><mi>c</mi><mi>e</mi><mi>s</mi></math>
The sum of three digits x, y and z is 12 . What is the largest 3-digit number that can be found using each of the digits exactly once ?
Correct Answer:
C: 930
What decemal of an hour is a second?
Correct Answer:
C: 0.00027
Explanation:
What decemal of an hour is a second? Correct Answer 0.00027 A Second is 1/3600 the of an hour, or approximately 0.00027
The average mark obtained by 10 students was 6 and the average mark obtained by 6 students was 10. What is the average mark obtained by all 16 students ?
Correct Answer:
C: 7.5
The last number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is :
Correct Answer:
B: 3600
Explanation:
The last number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is : Correct Answer 3600 LCM of 46, 20, 24 = 240Now, 240 = 2×2×2×2×3×5Hence the required least number which is a perfect square and divisible by 16, 20, 24 = 2×2×2×2×3×5×3×5 = 3600
Marathon is to race as hibernation is to
Correct Answer:
D: sleep
Explanation:
Marathon is to race as hibernation is to Correct Answer sleep Marathon is a type of race which is long in duration. Hibernation is a type of sleep that is also long long in duration.
A, Q, Y, Z are different persons. Z is the father of Q, A is the daughter of Y and Y is the son of Z, If P is the son of Y and B is the brother of p then how is related A to B?
Correct Answer:
A: sister
Explanation:
A, Q, Y, Z are different persons. Z is the father of Q, A is the daughter of Y and Y is the son of Z, If P is the son of Y and B is the brother of p then how is related A to B? Correct Answer sister প্রদত্ত Option গুলোর মধ্যে কেবলমাত্র option (d) তেই প্রদত্ত বাংলা বাক্যটির সঠিক অনুবাদ বা Translation. অন্য option গুলো অর্থাৎ option (a), option (b) এবং option (c) কোনো না কোনো ভাবে ক্রুটি পূর্ণ।
If the product of 3 consecutive integers is 120, the sum of the integers is -
Correct Answer:
C: 15
A parking garage rents parking spaces for TK. 10 per week of TK. 30 per month . How much does a person save in a year by the month rather than by the week ?
Correct Answer:
B: TK. 160
What percentage of numbers from 11 to 90 has 0 or 5 in the unit's digit?
Correct Answer:
C: 20%
Explanation:
What percentage of numbers from 11 to 90 has 0 or 5 in the unit's digit? Correct Answer 20% Hints: 11 থেকে 90 পর্যন্ত মোট সংখ্যা 80 টি 0 বা 5 আছে এমন সংখ্য 16 টি শতকরা পরিমান = 16/80×100 = 20%
There are 4 women and 4 men sitting in a waiting room for job interview. If two of the applicants are selected at random, what is the probalility that both will be women?
Correct Answer:
D: 3/14
Explanation:
There are 4 women and 4 men sitting in a waiting room for job interview. If two of the applicants are selected at random, what is the probalility that both will be women? Correct Answer 3/14 মোট লোক সংখ্যা = (৪ + ৪) জন = ৮ জন ৪ জন হতে ১ জন মহিলা হওয়ার সম্ভাবনা = ৪/৮ = ১/২ বাকি ৩ জন মহিলা ও ৪ জন পুরুষ হতে ১ জন মহিলা হবার সম্ভাবনা = ৩/৭ দুইজন মহিলা হবার সম্ভাবনা = ১/২ × ৩/৭ = ৩/১৪
একটি সমদ্বিবাহু ত্রিভুজের ভূমি সংলগ্ন একটি কোণের পরিমাণ 55০ হলে শীর্ষ কোণের পরিমাণ কত?
Correct Answer:
খ: 70০
Explanation:
একটি সমদ্বিবাহু ত্রিভুজের ভূমি সংলগ্ন একটি কোণের পরিমাণ 55০ হলে শীর্ষ কোণের পরিমাণ কত? সঠিক উত্তর 70০ সমব্দিবাহু ত্রিভুজের ভৃমি সংলগ্ন কোণব্দয় পরস্পর সমান।সুতরাং ভৃমি সংলগ্ন কোণব্দয়ের সমষ্টী = 2 × 55° = 110° ত্রিভুজের তিন কোণের সমষ্টি 180°। তাহলে,শীর্ষকোণ + 110° = 180°∴শীর্ষকোণ = 180° - 110° = 70°
110০ সম্পূরককোণ কত?
Correct Answer:
ঘ: 70০
Explanation:
110০ সম্পূরককোণ কত? সঠিক উত্তর 70০ দুটি কোণের সমষ্টি 180° হলে একটিকে অপরটির সম্পৃরককোণ বলে। ∴110° কোণের সম্পৃরককোণ হবে 180° - 110° = 70°।