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This mock test of Test: Problem Solving- 1 for GRE helps you for every GRE entrance exam.
This contains 15 Multiple Choice Questions for GRE Test: Problem Solving- 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

If you join all the vertices of a heptagon, how many quadrilaterals will you get?

Solution:

QUESTION: 2

Four students have to be chosen 2 girls as the captain and vice-captain and 2 boys as captain and vice-captain of the school. There are 15 eligible girls and 12 eligible boys. In how many ways can they be chosen if Sunita is sure to be the captain?

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QUESTION: 3

A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices.

Solution:

QUESTION: 4

How many 5 digit numbers are there with distinct digits?

Solution:

QUESTION: 5

In how many ways can 15 students be seated in a row such that the 2 most talkative children never sit together?

Solution:

QUESTION: 6

In a school 5 colours are allotted to each house. If the flag of Tagore House has to be a sequence of three blocks of different colours, then how many flags can they choose from?

Solution:

QUESTION: 7

Find the number of words which can be formed by using the letters of the word EQUATION if each word has to start with a vowel.

Solution:

QUESTION: 8

How many five digit numbers can be formed using the digits 0, 2, 3,4and 5, when repetition is allowed such that the number formed is divisible by 2 or 5 or both?

Solution:

QUESTION: 9

A straight road runs from north to south. It has two turnings towards east and three turnings towards west. In how many ways can a person coming from east get on the road and go west?

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QUESTION: 10

How many heptagons can be drawn by joining the vertices of a polygon with 10 sides?

Solution:

QUESTION: 11

Four persons enter the lift of a seven storey building at the ground floor. In how many ways can they get out of the lift on any floor other than the ground floor?

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QUESTION: 12

Ten different letters of an alphabet are given. 2 of these letters followed by 2 digits are used to number the products of a company. In haw many ways can the products be numbered?

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QUESTION: 13

If P(2n+1,n-1):P(2n-1,n) = 3:5, find n.

Solution:

QUESTION: 14

A polygon has 20 diagonals. How many sides does it have?

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QUESTION: 15

A box contains 5 red and 4 blue balls. In how many ways can 4 balls be chosen such that there are at most 3 balls of each colour?

Solution:

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