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Q:

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

A) 1:3	B) 2:3
C) 3:4	D) 4:5

Answer & Explanation Answer: B) 2:3

Explanation:

By the rule of alligation:
Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind

Required ratio = 60 : 90 = 2 : 3

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Filed Under: Alligation or Mixture

Q:

A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

A) 1/3	B) 1/4
C) 1/5	D) 1/7

Answer & Explanation Answer: C) 1/5

Explanation:

Suppose the vessel initially contains 8 litres of liquid.

Let x litres of this liquid be replaced with water.
Quantity of water in new mixture = $(3 - \frac{3 x}{8} + x)$ litres.

Quantity of syrup in new mixture = $(5 - \frac{5 x}{8})$ litres.

$(3 - \frac{3 x}{8} + x) = (5 - \frac{5 x}{8})$

=> 5x + 24 = 40 - 5x

=> 10x = 16 => x = 8/5

So, part of the mixture replaced = $(\frac{8}{5} \times \frac{1}{8})$ = 1/5.

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Filed Under: Alligation or Mixture

Q:

Choose the set of figures which follows the given rule.

Rule: Any figure can be traced by a single unbroken line without retracting.

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

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Filed Under: Rule Detection

Q:

What is the number of triangles that can be formed whose vertices are the vertices of an octagon but have only one side common with that of octagon?

A) 64	B) 32
C) 24	D) 16

Answer & Explanation Answer: B) 32

Explanation:

When the triangles are drawn in an octagon with vertices same as those of the octagon and having one side common to that of the octagon, the figure will appear as shown in (Fig. 1).

Now, we shall first consider the triangles having only one side AB common with octagon ABCDEFGH and having vertices common with the octagon (See Fig. 2).Such triangles are ABD, ABE, ABF and ABG i.e. 4 in number.

Similarly, the triangles having only one side BC common with the octagon and also having vertices common with the octagon are BCE, BCF, BCG and BCH (as shown in Fig. 3). i.e. There are 4 such triangles.

This way, we have 4 triangles for each side of the octagon. Thus, there are 8 x 4 = 32 such triangles.

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Filed Under: Analytical Reasoning

Q:

Mallika Sarabhi is associated with which of the following fields

A) Social Service	B) Classical Music
C) Classical Dance	D) Sports

Answer & Explanation Answer: C) Classical Dance

Explanation:

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Filed Under: Famous Personalities

Q:

He is the world's only person who has climbe all the 14 peaks of the mountains without using oxyger cylinders

A) Henry Ford	B) Reinhold Messner
C) John	D) Bachhendri Pal

Answer & Explanation Answer: B) Reinhold Messner

Explanation:

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Filed Under: Sports

Q:

The term ' Gambit ' is associated with

A) Chess	B) Tennis
C) Basket ball	D) Baseball

Answer & Explanation Answer: A) Chess

Explanation:

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Filed Under: Sports

Q:

Misha Grewal is associated with which of the following games

A) Swimming	B) Badminton
C) Squash	D) Chess

Answer & Explanation Answer: C) Squash

Explanation:

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Filed Under: Sports

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