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Q:

Simplify the equation $\frac{{(0.73)}^{3} + {(0.27)}^{3}}{{(0.73)}^{2} + {(0.27)}^{2} - (0.73) \times (0.27)}$

A) 1	B) 0.4087
C) 0.73	D) 0.27

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
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Q:

Which of the following bacterium causes crown gall disease in plants?

A) Bacillus thurigiensis	B) Agrobacterium tumefaciens
C) Pseudomonas fluorescens	D) None of these

Answer & Explanation Answer: B) Agrobacterium tumefaciens

Explanation:

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Filed Under: Biology
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Q:

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its coloumn,e.g., A can be represented by 14,21,33 etc., and P can
be represented by 56,75,87 etc. You have to identify the set for the word 'ARTS'.

A) 02, 12, 22, 67	B) 40, 41, 42, 78
C) 95, 34, 23, 86	D) 65, 22, 23, 67

Answer & Explanation Answer: D) 65, 22, 23, 67

Explanation:

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Q:

$\frac{{(798 + 579)}^{2} - {(798 - 579)}^{2}}{798 x 579} =$

A) 2	B) 6
C) 4	D) 8

Answer & Explanation Answer: C) 4

Explanation:

⇒ 4(798 X 579) / (798 X 579)
⇒ 4

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Q:

If a--b = 4 and ab = 45, find the value of $a^{3} - b^{3}$

A) 604	B) 370
C) 253	D) 199

Answer & Explanation Answer: A) 604

Explanation:

${(a - b)}^{2} = a^{2} + b^{2} - 2 ab \Rightarrow 16 = a^{2} + b^{2} - 90 \Rightarrow a^{2} + b^{2} = 106 a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + ab) \Rightarrow a^{3} - b^{3} = 4 X (106 + 45) \Rightarrow a^{3} - b^{3} = 4 X 151 \Rightarrow a^{3} - b^{3} = 604$

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Q:

The cell wall in plants is interrupted by narrow pores carrying fine stands of cytoplasm which interlink the contents of the cells. These strands are called:-

A) Plasmahole	B) Microvilli
C) Plasmodesmata	D) Plasmalemma

Answer & Explanation Answer: C) Plasmodesmata

Explanation:

Plasmodesmata are interrupted by narrow pores carrying fine strands of cytoplasm, which interlink the contents of the cells.

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Filed Under: Biology
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Q:

In $∆ ABC,$ ∠B=35°, ∠C=65° and the bisector of ∠BAC meets BC in D. Then ADB is

A) 40°	B) 75°
C) 90°	D) 105°

Answer & Explanation Answer: D) 105°

Explanation:

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Q:

If $x = 2 + \sqrt{3},$ then the value of $\frac{x^{2} - x + 1}{x^{2} + x + 1}$ is

A) 2/3	B) 3/4
C) 4/5	D) 3/5

Answer & Explanation Answer: D) 3/5

Explanation:

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