Explanation:

what is the slope of the line perpendicular to the line y = -5x +9 ? Correct Answer 1/5 y = - 5x + 9⇒y + 5x = 9 ......(1)(1) নং রেখাটির লম্বরেখার সমীকরণ 5y - x = k⇒5y = x + k⇒y = 15x + k⸫ লম্ব রেখাটির ঢাল = 1/5

Explanation:

If 1 + sin θ =x cos θ , then tan θ is __ Correct Answer (x2-1)/2x 1 + sin@ = xcos@Or, 1 + sin@/cos@ = xOr, 1/cos@ + sin@/cos = xOr, sec@ + tan@ = x...(i)We know, (Sec@ + tan@)(sec@ - tan@) = 1 Or, x(sec@ - tan@) = 1 Or, sec@ - tan@) = 1/x...(ii) (i) - (ii)Sec@ + tan@ - (sec@ - tan) = x - 1/xOr, Sec@ + tan@ - sec@ + tan@ = (xx - 1)/xOr, 2tan@ = (xx - 1)/x Tan@ = (xx - 1)/2x (Ans)

Explanation:

If yx=37 and x + 2y =13 then y is _ Correct Answer 3 yx = 37⇒xy = 73⇒x = 73y .......(i)⸫x + 2y = 13⇒73y + 2y = 13 [(i) নং হতে]⇒7y + 6y3 = 13⇒13y = 39⇒y = 3913⸫ y = 3

Explanation:

In a series of 6 consecutive odd numbers if 15 is the 6th number, what is the 4th number in the series? Correct Answer 11 Let the series is: 5 7 9 11 13 15so the 4th number is 11.

Explanation:

A florist has 200 roses and 180 jasmines with him. He was asked to make garlands of flowers. Which of the following numbers of flower will join together without leaving a single flower? Correct Answer 20 (x + 150% of x)/(y + 200% of y) = 10/19 2.5x/3y = 10/19 x/y = 10 × 3/19 × 2.5 = 12/19. Ans: C

Explanation:

In 1 -3x ≤ 4, then __ Correct Answer x≥-1 1 - 3x ≤ 4 or, 1 - 1 - 3x≤4 - 1or, - 3x≤3or, - x≤1or, - 1≤x

Explanation:

X, Y and Z can do a piece of work in 6 hours. X and Y can do the same work in 8 hours and Z can the same work in 12 hours . In how many times will X and Z do the same work? Correct Answer 8 hours X + Y + Z can do 1/6 of job in one hour……1 X + Y can do 1/8 of job in one hour……2 Y + Z can do 1/12 of job in one hour……3 adding 2&3 we get X + Y + Y + Z = 1/8 + 1/12 X + Z + 2Y = 5/24…4 subtracting 1 from 4 we get Y = 5/24 – 1/6 = 1/24.substituting the value of Y in 4 we have X + Z + 2/24 = 5/24 X + Z = 5/24 – 2/24 = 3/24 = 1/8 hence X&Z will do 1/8 of job in one hour. So X & Z will do the work in 8 hours.

Explanation:

If a , b and c are the lengths of the three sides of a triangle , then which of the following is true? Correct Answer a -b আমরা জানি, ত্রিভুজের যে কোনো দুই বাহুর সমষ্টি তৃতীয়বাহু অপেক্ষা বৃহত্তর এবং ত্রিভুজের দুইবাহুর অন্তর তৃতীয় বাহু অপেক্ষা ক্ষুদ্রতর। সুতরাং সঠিকউত্তর হবে a - b<c.

Explanation:

If a pole 6 m high casts a shadow 23 m long on the ground , then the elevation of the sun is - Correct Answer 60° ABC হতে tan𝜃 = ACBC⇒tan𝜃 = 623⇒tan𝜃 = 33⇒tan𝜃 = 3⇒tan𝜃 = tan600⸫ 𝜃 = 600

Explanation:

The defference between two numbers is 5 and the difference between their squares is 65 . What is the larger number ? Correct Answer 9 X - Y = 5X^2 - Y^2 = 165(X + Y)(X - Y) = 165(X + Y)*5 = 165X + Y = 33So, 2X = 38X = 19Y = 33 - 19 = 14

Explanation:

October 1985 corresponds to Bangla year __ Correct Answer 1392 ইংরেজি ও বাংলা বছরের পাথক্য  =  593 বছর⸫ 1985 সালে বাংলা সাল ছিল  =  1985 - 593 = 1392

Explanation:

If 21215120 represents 'bloat ' then 6121135 represents __ Correct Answer flame এখানে, b = 2, l = 12, o = 15, a = 1, t = 20 সুতরাং, 6 = f, 12 = l, 1 = a, 13 = m, 5 = e⸫6121135 represents the word flame.

Explanation:

What percent of 200 is 0.001% of 22×53? Correct Answer 0.0025 Daocheng Yading Airport in southwest China's Sichuan Province is the world's highest - altitude civilian airport. It is located at a height of 4,411 meters above sea level.

Explanation:

what is the probability that an integer selected at random from those between 10 and 100 inclusive is a multiple of 5 or 9? Correct Answer 2791 1  -  100 পর্যন্ত  সংখ্যাগুলর মধ্যে 5 দ্বারা বিভাজ্য সংখ্যা 5)100(20                                                                                                 1000⸫ 10  -  100 পর্যন্ত  সংখ্যাগুলর মধ্যে 9 দ্বারা বিভাজ্য সংখ্যা  =  11 - 1 = 10 টিএখন 5 এবং 9 উভয় দ্বারা বিভাজ্য সংখ্যা  =  2 টি (45 এবং 90)⸫ 5 অথবা 9 দ্বারা বিভাজ্য সংখ্যা =  19 + 10 - 2 = 27⸫ সম্ভাব্যতা  =  2791

Explanation:

which of the following can be arranged into an English word? a. ANSLAIT B. LSNIT C.OTATM D. WQRGS __ Correct Answer a Option A can be rearranged in ANALIST but others can not be arranged in any English word.

Explanation:

The next number of the sequence is __ 4 3 9 3 19 3 .... Correct Answer 39 The sequence: 4 3 9 3 19 3 ... here, 4 + 5*1 = 9 9 + 5*2 = 19 19 + 10*2 = 39 The next number of the sequence is __ 4 3 9 3 19 3 29

Explanation:

what does make 'you' young'? Correct Answer Adding 2 velars You শব্দটির শেষে দুটি velar (ধ্বনি) ng (এন, জি) যুক্ত হয়ে you শব্দটি ‘young' - এপরিণত হয়। সুতরাং সঠিক উত্তর (a) Adding 2 velars.

Explanation:

The sum of 3 consecutive integers is less than 75. what is the greatest possible value of the smallest one? _ Correct Answer 23 Let, Three consecutive numbers are (x - 1),x,(x + 1)⸫x - 1 + x + x + 1<75⇒3x<75⸫x<25⸫x - 1<25 - 1⇒x - 1<24সুতরাং ক্ষুদ্রতম সংখ্যাটির সর্বোচ্চ মান হবে 23 ।

Explanation:

In a class average the mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored less than 60? Correct Answer 16 TR, TP are two tangents drawn to a bigger circle from an external point T. we know that, length of tangents drawn from external point to circle are equal ∴TR = TP ___(i) Similarly TP, TQ are two tangent drawn to a smaller circle from an external point T. Again we have TP = TQ __(ii) From (i) & (ii), we have TR = TQ

Explanation:

একটি বর্গক্ষেত্রের এক বাহুsর দৈর্ঘ্য X একক। এর কর্ণের দৈর্ঘ্য কত? সঠিক উত্তর √2 x একক The Math.random() method returns a number greater than or equal to 0 and less than 1 . Since we can then be sure that the sum of that number and 2.5 will be greater than or equal to 2.5 and less than 3.5, we can be sure that Math.round() will round that number to 3. So Option B is the answer.

Explanation:

512+513=? Correct Answer 6(512) Let each lot of onion - contain N kg onion, Then total cost price of these two lots together = 10N + 15N = 25N Selling price of whole lot = 15 x (N + N) = 15 x 2N = 30N Profit percentage = [(30N - 25N)/25N] x 100 % = (5/25) x 100% = 20%

Explanation:

If 1 -2x ≤ 3, then ___ Correct Answer x ≥ -1 The formula A + B + C + D will yield true (1) if at least one of A,B,C,D is 1. The formula A./B.C will be true only if A = 1, B = 0 (so /B = 1) and C = 1. Boolean algebra knows two distributive laws with operations AND and OR.

Explanation:

The lengths of the sides of a triangle are d+1, 2d, and 3d. The sum of the degree measures of the three interior angles of the triangle is____ Correct Answer 180 Ratio of speed = 3:4 Ratio of time = 4:3 let A takes 4x hrs,B takes 3x hrs then 4x - 3x = 30/60 hr x = ½ hr Time taken by A to reach the destination is 4x = 4 * ½ = 2 hr

Explanation:

৪৬. If sin A + sin2A=1, then the value of the expression cos2A+cos4A is-- Correct Answer 1 A data center, or data centre, is a building, dedicated space within a building, or a group of buildings used to house computer systems and associated components, such as telecommunications and storage systems.

Explanation:

একজন দোকানদার ৭12% ক্ষতিতে একটি দ্রব্য বিক্রয় করল। যদি দ্রব্যটির ক্রয়মূল্য ১০% কম হত এবং বিক্রয়মূল্য ৩১ টাকা বেশি হত, তাহলে তার ২০% লাভ হত। দ্রব্যটির ক্রয়মুল্য কত? সঠিক উত্তর ২০০ টাকা ঢাকা বিভাগে জেলা ১৩টি।

Explanation:

(5 + 3) (5-3)=? Correct Answer 2 Given that 6 men and 8 boys can do a piece of work in 10 days 26 men and 48 boys can do the same in 2 days As the work done is equal, 10(6M + 8B) = 2(26M + 48B) 60M + 80B = 52M + 96B = > M = 2B = > B = M/2 ……(1) Now Put (1) in 15M + 20B = > 15M + 10M = 25M Now, 6M + 8B in 10 days = > (6M + 4M) 10 = 100M Then D(25M) = 100M = > D = 4 days.

Explanation:

90° 2 সমকোণ বা 180° অপেক্ষা ছোট কিন্তু 90° অপেক্ষা বড় কোণকে স্থুলকোণ বলে।

Explanation:

If 6121135 represents 'flame' then 21215120 represents __ Correct Answer bloat 2nd alphabet - B 12th alphabet - L 15th alphabet - O 1st alphabet - A 20th alphabet - T

Explanation:

The population of Barisal is 50 percent of the population of Chittagong. The population of Barisal is what percent of the total population of Baisal and Chittagong? Correct Answer 3313% As well as the logic symbols “0” and “1” being used to represent a digital input or output, we can also use them as constants for a permanently “Open” or “Closed” circuit or contact respectively. A set of rules or Laws of Boolean Algebra expressions have been invented to help reduce the number of logic gates needed to perform a particular logic operation resulting in a list of functions or theorems known commonly as the Laws of Boolean Algebra. Boolean Algebra is the mathematics we use to analyse digital gates and circuits. We can use these “Laws of Boolean” to both reduce and simplify a complex Boolean expression in an attempt to reduce the number of logic gates required. Boolean Algebra is therefore a system of mathematics based on logic that has its own set of rules or laws which are used to define and reduce Boolean expressions. The variables used in Boolean Algebra only have one of two possible values, a logic “0” and a logic “1” but an expression can have an infinite number of variables all labelled individually to represent inputs to the expression, For example, variables A, B, C etc, giving us a logical expression of A + B = C, but each variable can ONLY be a 0 or a 1.

Explanation:

10 টাকা × 15 টাকা ÷ টাকা × 30 টাকা = কত? সঠিক উত্তর 900 টাকা সরলীকরনে গুন অপেক্ষা ভাগের কাজ আগে। 10 × 15÷5 × 30 = 10 × 3 × 30 = 900

Explanation:

which of the following organization of World Bank is known as 'soft loan window'? Correct Answer IDA বিশ্বব্যাংকের ৫টি সংস্থা। যথা : IBRD, IDA, IFC, MIGA ও ICSID। এগুলর মধে্যে IDAসহজ শর্তে ঋণ দেয় বলে একে Soft Loan Window হিসেবে অভিহিত করা হয়।