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Q:

In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together?

A) 112420	B) 85120
C) 40320	D) 1209600

Answer & Explanation Answer: D) 1209600

Explanation:

Given word is TRANSFORMER.

Number of letters in the given word = 11 (3 R's)

Required, number of ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together is

10! x 2!/3!

= 3628800 x 2/6

= 1209600

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Filed Under: Permutations and Combinations
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Q:

Sort each description by the type of RNA it describes?

a) contains an anticodon
b) specifies the amino acid squence for a protein
c) contains exons
d) has amino acids covalently attached
e) is a component of ribosomes
f) is the most abundant form of RNA

A) a, b, d - tRNA, c - mRNA, e, f - rRNA	B) a, c - tRNA, b, d - mRNA, e, f - rRNA
C) a, e, f - rRNA, b - mRNA, c, d - tRNA	D) None of the above

Answer & Explanation Answer: A) a, b, d - tRNA, c - mRNA, e, f - rRNA

Explanation:

Option A)

a, b, d - tRNA, c - mRNA, e, f - rRNA

Is the given sorted description that describes the RNA type.

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Filed Under: Biology
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Q:

Out of 3 girls and 6 boys a group of three members is to be formed in such a way that at least one member is a girl. In how many different ways can it be done?

A) 64	B) 84
C) 56	D) 20

Answer & Explanation Answer: A) 64

Explanation:

Total number of possible ways = 9C3 = 84 ways

Required atleast one girl in the group of three = total possible ways - ways in which none is girl

None of the members in the group is girl = 6C3 = 20

Therefore, number of ways that at least one member is a girl in the group of three

= 84 - 20

= 64 ways.

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Filed Under: Probability
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Q:

What contributes to antigenic shift in influenza viruses?

A) a segmented genome	B) different virus subtypes
C) Both A & B	D) ease of virus transmission

Answer & Explanation Answer: A) a segmented genome

Explanation:

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Filed Under: Biology
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Q:

A boat can move 5 km/hr in still water. If the river is running at 1 km/hr, it takes it 75 min to move to a place and back. How far is the place?

A) 3 kms	B) 5 kms
C) 6 kms	D) 4 kms

Answer & Explanation Answer: A) 3 kms

Explanation:

Let the place be at a distance of 'd' kms

From the given data,

$\frac{d}{5 - 1} + \frac{d}{5 + 1} = \frac{75}{60} kms \frac{d}{4} + \frac{d}{6} = \frac{5}{4}$

5d/12 = 5/4 => d = 3 kms.

Hence, the place is 3 kms far.

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Filed Under: Boats and Streams
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Q:

Laterite is chemically classified as

A) argillaceous rock	B) metamorphic rock
C) caleareous rock	D) sillcious rock

Answer & Explanation Answer: A) argillaceous rock

Explanation:

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Filed Under: Chemistry
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Q:

A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at random, what is the probability that both are red or both are green in colour?

A) 7	B) 1/7
C) 3/7	D) 0

Answer & Explanation Answer: B) 1/7

Explanation:

Given total number of smileys = 5 + 6 + 3 = 14

Now, required probability =

$\frac{5 C_{2}}{14 C_{2}} + \frac{3 C_{2}}{14 C_{2}} = \frac{10}{91} + \frac{3}{91} = \frac{13}{91} = \frac{1}{7}$

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Filed Under: Probability
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Q:

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0, iff$

A) abc = -1	B) a = b = c
C) abc = 1	D) abc = 0

Answer & Explanation Answer: B) a = b = c

Explanation:

Here given formula is

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0$

and it is possible if and only if a = b = c.

From the trial and error method,

1) Let a = b = c = 1

Now substitute these values of a, b, c in the above formula.

We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0

2) Now, let a = b = c = 4

Now substitute these values of a, b, c in the above formula.

We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.

Hence, it is possible that

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0 iff a = b = c.$

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Filed Under: Arithmetical Reasoning
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