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CAT
IMPORTANT
Earn 100

There is a framework of a cuboid of length 6, breadth 5, and height 7 units. The cuboid is only composed of a skeleton of 210 cubes of side 1 units. An insect is on one corner of the cube and it wants to travel to the opposite end of the longest diagonal. It can only travel along the sides of the small cubes and it always takes the shortest possible route. Find the number of choices the insect has.

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Important Questions on X+2 Maths

HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 17
There is a framework of a cuboid of length 6, breadth 5, and height 7 units. The cuboid is only composed of a skeleton of 210 cubes of side 1 units. An insect is on one corner of the cube and it wants to travel to the opposite end of the longest diagonal. It can only travel along the sides of the small cubes and it always takes the shortest possible route. If the insect suddenly realises that one of the faces on the opposite side of the cuboid having maximum area has been sprayed with pesticides due to which it cannot reach the original destination and if the insect still wants to reach the opposite end of longest diagonal, then in how many ways can it do so?
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 20
At the beginning of a party, each person present shook hands with all other people present, and in total, there were 28 handshakes. In the midst of the party, 2 persons left due to an emergency. Now, the number of males and females present in the party was equal. At the end, each female shook hands only with every female present and each male shook hands only with every male present. What is the total number of handshakes that took place at the party?
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Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 21
Consider S=(1,2,3,…,10). In how many ways two numbers from S can be selected so that the sum of the numbers selected is a double-digit number?
EASY
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 22
In a chess tournament, every person played one game with every other person in the group. The total number of games that men played between themselves exceeded those played by men with women by 18 . If there were 4 women in the tournament, then in total, how many games were played in the tournament?
MEDIUM
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 23
The number of ways of painting the faces of a cube of six different colours is 
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 24
Find the number of non-negative integer solutions to the system of equations a+b+c+d+e=20 and a+b+c=5.
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CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 25
If the number of ways of selecting k coupons out of an unlimited number of coupons bearing the letters A,T, and C so that they cannot be used to spell the word CAT is 93 , then what is the value of k ?
MEDIUM
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 26
In a test of 10 multiple choice questions of one correct answer, each having 4 alternative answers, then the number of ways to put ticks at random for the answers to all the questions is: