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Q:

India is the seventh largest country in the world and it covers a total area of approximately________

A) 2700000 sq.km	B) 3000000 sq.km
C) 3200000 sq.km	D) 3600000 sq.km

Answer & Explanation Answer: C) 3200000 sq.km

Explanation:

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Filed Under: Indian Geography

Q:

Which one of the following cities will never get the vertical rays of the sun?

A) Srinagar	B) Thiruvananthapuram
C) Kolkata	D) Mumbai

Answer & Explanation Answer: A) Srinagar

Explanation:

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Filed Under: Indian Geography

Q:

The himalayas are approximately ______ kilometer broad

A) 150 to 400	B) 200 to 400
C) 150 to 300	D) 250 to 500

Answer & Explanation Answer: A) 150 to 400

Explanation:

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Filed Under: Indian Geography

Q:

The Kulu Valley is situated between

A) Ladakh and Pirpanjal	B) Ranjoti and Nag Tibba
C) Lesser Himalayas Siwalik	D) Dhauladar and Pirpanjal

Answer & Explanation Answer: D) Dhauladar and Pirpanjal

Explanation:

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Filed Under: Indian Geography

Q:

Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is

A) 1,00,000	B) 59,049
C) 3439	D) 6561

Answer & Explanation Answer: C) 3439

Explanation:

The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times.

This can be done in $10^{5}$ ways, but '0' is there

So, the numbers starting with '0' are to be excluded is $9^{4}$ numbers.

Total 5 digit telephone numbers = $10^{5} - 9^{4}$ = 3439

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends?

A) 240	B) 72
C) 48	D) 36

Answer & Explanation Answer: C) 48

Explanation:

DESIGN = 6 letters

No consonants appear at either of the two ends.

= $2 x 4 P_{4}$ = 2 x 4 x 3 x 2 x 1= 48

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
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Q:

In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?

A) 360	B) 720
C) 120	D) 840

Answer & Explanation Answer: A) 360

Explanation:

CAPITAL = 7

Vowels = 3 (A, I, A)

Consonants = (C, P, T, L)

5 letters which can be arranged in $5 P_{5} = 5!$

Vowels A,I = $\frac{3!}{2!}$

No.of arrangements = 5! x $\frac{3!}{2!}$ =360

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

The number of ways that 8 beads of different colours be strung as a necklace is

A) 2520	B) 2880
C) 4320	D) 5040

Answer & Explanation Answer: A) 2520

Explanation:

The number of ways of arranging n beads in a necklace is $\frac{(n - 1)!}{2} = \frac{(8 - 1)!}{2} = \frac{7!}{2}$ = 2520

(since n = 8)

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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