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The ratio 2 to 1/3 is equal to the ratio- Correct Answer 6 to 1 2 : 1/3 = 2 × 3 : 1/3 ×3 = 6 : 1 = 6 to 1

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If x=y+4 and x=20-y, then x2-y2= Correct Answer 80 x + y = 20 x - y = 4 ( + ) 2x = 24 x = 12 Now, x - y = 4 y = x - 4 y = 12 - 4 = 8 x2 - y2 = 122 - 82 = 80

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Mr.X invests TK. 2400 in the Moder4n Bank at 5%. How much additional money must he invest at 8% so that the total annual income will be equal to 6% of his entire investment? Correct Answer TK.1200 We can let x = the amount of money invested at 8%, making her entire investment equal to (2,400 + x). We can create the following equation: 0.05(2,400) + 0.08x = 0.06(2,400 + x) = > 120 + 0.08x = 144 + 0.06x = > 0.02x = 24 = > 2x = 2400 ∴x = 1,200

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If x is negative , which of the following must also be negative? Correct Answer x3-x2 If x is negative then x3 is also negative and x2 is positive. Therefore, x3 - x2 will be negative.

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which of the following is the lowest positive integer that is divisible by 8,9,10,11, and 12? Correct Answer 3,960 LCM = lowest positive integer that is divisble means the LCM of these numbers 8,9,10,11,12 = 3960

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He doesn't know how to look ----a word in the dictionary. Correct Answer up If you look up a fact or a piece of information, you find it out by looking in something such as a reference book or a list.

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Fill in the blanks. The principal had an inquiry ----the case Correct Answer into Inquiry into মানে কোন বিষয়ের তদন্ত করা । এখানে অধ্যক্ষ Case বা ঘটনাটির তদন্ত করেছিলেন বলে Inquiry এর পরে Into হবে ।  Into যোগে বাক্যটির বাংলা: অধ্যক্ষ ঘটনাটির তদন্ত করেছিলেন ।

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The man did the work "in the nick of time". Correct Answer very last minute in the nick of time means at the last possible moment

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which of the following is the next number in the series:2,4,3,9,4,16,5,25,6,---? Correct Answer 36 In the above series the second number is the square of first number the fourth is square of third thus, 22 = 4, 32 = 9, 42 = 16, 52 = 25 So, 62 = 36

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His poor health is the main "road block"to his promotion. Correct Answer obstacle Roadblock means an obstruction in a road or something that blocks progress or prevents accomplishment of an objective.

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If x+5>2 and x-3<7, the value of x must be between which of the following pairs of numbers? Correct Answer -3 and 10 x + 5 > 2 x + 5 - 5 > 2 - 5 x > - 3 Again, x - 3 < 7 x - 3 + 3 < 7 + 3 x - 3 + 3 < 7 + 3 x < 10 - 3 < x<10

Explanation:

The quantity of goods produced in firm is given by the equation x2+5x=6, where x is number of units produced in thousand units. If you solve this equation, what is the rational level of production? Correct Answer 1,000 x² + 5x - 6 = 0  or, x² + 6x - x - 6 = 0  or, x(x + 6) - 1(x + 6) = 0  or, (x + 6)(x - 1) = 0  therefore, x + 6 = 0    or,x = - 6     x - 1 = 0   or , x = 1 as,production quantity can not be negativeand the number of units produced in thousands. so, production is = 1000 unit

Explanation:

If one root of the equation 2x2+3x-k=0 is 6, what is the value of k? Correct Answer 90 When we have a value of one root in a quadratic equation, make the RHS to zero (0) so that we can substitute the given root to find the other variables. In this case, the RHS is already 0. So just substitute the given root value for x, i.e, x = 6 = > 2×6² + 3×(6) - k = 0 = > 2×(36) + 18 = k = > 72 + 18 = k  ∴ k = 90

Explanation:

Select the correctly spelled words. Correct Answer Recession recession (noun) (১) [Uncountable noun] প্রত্যাহার; পশ্চাদপসরণ। (২) [Countable noun] ব্যবসা ও শিল্পোৎপাদনে শ্লথগতি; মন্দা; পড়তি।

Explanation:

Which one of the flowing is a solution to the equation x4-2x2=-1 Correct Answer 1 When, x = 1 Then, (1)4 - 2 ( 1) 2 = 1 - 2 = - 1

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If x is both the cube and the square of an integer and x is between 2 and 200, what is the value of x? Correct Answer 64 8 is cube of zie. (2)3 = 8 but it can not be expressed a square of any integer. 16 is square of 4 i.e (4)2 = 16 64 is square of 8 ie. (8)2 = 64 and cub of ie. (4)3 = 64

Explanation:

I entrusted her-------the work. Correct Answer with Entrusted with + something - কোনো কিছুতে আস্থা স্থাপন করা। Entrusted + to + somebody - কাউকে কোনো গুরুত্বপূর্ণ কাজের দায়িত্ব দেওয়া। সুতরাং সঠিক বাক্য I entrusted her with the work.

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Select the correctly spelled words . Correct Answer Encyclopedia বিশ্বের ১১ তম দীর্ঘতম সেতু

Explanation:

If the sum of three consecutive positive integers must be divisible by which of the following? Correct Answer 3 When we add an even and odd number the result is always odd. Sameway the sum of two odd number is always even. Foe example , 1 + 2 + 3 = 6 is diviisible by 3 2 + 3 + 4 = 9 is diviisible by 3 4 + 5 + 6 = 15 is diviisible 3 and so on.

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If the sum of three consecutive integers is odd, then the first and last integers must be Correct Answer even,even For example, 2 + 3 + 4 = 9 ( odd) but, 3 + 4 + 5 = 12 ( even)

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After being marked down 20 percent, a calculator sells for K. 10. orginal selling price was- Correct Answer Tk. 12.5 Present Tk. 80 if previous Tk. 100 present Tk. 1 if previous Tk. 100/80 present Tk. 10 if previous Tk ( 100×10)/ 80 = 12.5 Tk

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If the circumference of a circle is 4m, then the ratio of circumference of the circle to the diameter of the circle is - Correct Answer π The raio of circumference of the circle to the diameter of the circle is called pie ( π)

Explanation:

Which of the following is a place of off-shore banking? Correct Answer Cayman Islands People who bank offshore do so in a part of the world outside their home country. As such, the term offshore banking is generally used to describe international banks, companies, and investments. Some places have become well - known areas of offshore banking including Switzerland, Bermuda, or the Cayman Islands.

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Government fiscal policy is related to: Correct Answer Tax Fiscal policy is the means by which a government adjusts its spending levels and tax rates to monitor and influence a nation's economy.

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'BO' in BO account stands for: Correct Answer Beneficiary owner's ​BO Account stands for Beneficiary Owners Account. If you want to start investing and stock trading in the stock market in Bangladesh then you need to open a Beneficiary Owners account.

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'ISO' stands for Correct Answer International standard Organization The International Organization for Standardization (ISO) is an international standard - setting body composed of representatives from various national standards organizations. Founded on 23 February 1947, the organization promotes worldwide proprietary, industrial, and commercial standards

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In Bangladesh, Value Added Tax(VAT) was introduced in: Correct Answer 1st July, 1991 The VAT was introduced in Bangladesh on 1 July 1991. The new law on VAT will come into force with effect from 1July 2017. The standard rate of VAT in Bangladesh is 15%. On export, its 0%.

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Which is the first ever country to use E- voting in their election? Correct Answer Estonia Estonia became the first country to have legally binding general elections using the Internet as a means of casting the vote.

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"Democracy Square" is located in: Correct Answer Pnompen Freedom Park, also known as Democracy Park, is a 1.2-hectare plaza in Phnom Penh, Cambodia. The park has been the location and focus for political demonstrations against Prime Minister Hun Sen's regime.