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Q:

Four dice are thrown simultaneously. Find the probability that two of them show the same face and remaining two show the different faces.

A) 4/9	B) 5/9
C) 11/18	D) 7/9

Answer & Explanation Answer: B) 5/9

Explanation:

Select a number which ocurs on two dice out of six numbers (1, 2, 3, 4, 5, 6). This can be done in ${}^{6}C_{1}$ , ways.

Now select two distinct number out of remaining 5 numbers which can be done in ${}^{5}C_{2}$ ways. Thus these 4 numbers can be arranged in 4!/2! ways.

So, the number of ways in which two dice show the same face and the remaining two show different faces is

${}^{6}C_{1} \times {}^{5}C_{2} \times \frac{4!}{2!} = 720$

=> n(E) = 720

$∴ P (E) = \frac{720}{6^{4}} = \frac{5}{9}$

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Filed Under: Probability

Q:

5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible?

A) 2880	B) 1440
C) 720	D) 2020

Answer & Explanation Answer: A) 2880

Explanation:

There are total 9 places out of which 4 are even and rest 5 places are odd.

4 women can be arranged at 4 even places in 4! ways.

and 5 men can be placed in remaining 5 places in 5! ways.

Hence, the required number of permutations = 4! x 5! = 24 x 120 = 2880

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

Q:

Which one of the following years is known as the 'Year of the Great Divide' with regard to population, after which there has been a continuous and rapid growth in India's population?

A) 1911	B) 1921
C) 1941	D) 1951

Answer & Explanation Answer: B) 1921

Explanation:

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Filed Under: Indian Economy

Q:

How can you have different number of cells for each row of a table?

Answer

By setting the columnSpan property for cells of each row as required.

Workspace

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Subject: Microsoft Interview

Q:

How would you free the memory allocated by the following program?

#include "alloc.h"

#define MAXROW 3

#define MAXCOL 4

main()

{

int **p, i;

p = (int **) malloc (MAXROW * sizeof (int *));

for ( i = 0; i < MAXROW ; i++)

p[i] = (int *) malloc (MAXCOL * sizeof (int ));

}

Answer

for ( i=0; i < MAXROW ; i++)

free (p[i]);

free (p);

Workspace

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Subject: Programming

Q:

Nitrogen fixing bacteria is useful in growing which crop ________

A) Wheat	B) Paddy
C) Legume	D) Maiz

Answer & Explanation Answer: C) Legume

Explanation:

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Filed Under: Biology

Q:

River _______ is called 'The Sorrow of the Bengal'

A) Sone	B) Damodar
C) Hooghly	D) Kosi

Answer & Explanation Answer: B) Damodar

Explanation:

It rises in the hills of the Chhota Nagpur plateau and joins Hooghly after covering 22000 sq km. Its fury has been brought under control by DVC (Damodar Valley Corporation).

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Filed Under: Indian Geography

Q:

Biological control is to check growth of

A) plants	B) animals
C) weeds	D) one pest by another

Answer & Explanation Answer: D) one pest by another

Explanation:

Biological Control: This method is very effective. One pest is destroyed by another organism. For example the aphids are killed by lady beetle. The prickly pear is eradicted by cochineal insect. Here the advantage is, one does not use harmful chemicals which may get into the host plants.

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Filed Under: Biology

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