UB Classes - Maths, Quant, Reasoning

Some months have 31 days. How many have 28?

Which of these numbers is the odd-one-out?

43 26 50 37 17 82

B2CD, _____, BCD4, B5CD, BC6D

A. B2C2D B. BC3D
C. B2C3D D. BCD7

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

A. 159 B. 194
C. 205 D. 209
E. None of these

In how many ways can the letters of the word 'LEADER' be arranged?

A. 72 B. 144
C. 360 D. 720
E. None of these

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A. 210 B. 1050
C. 25200 D. 21400
E. None of these

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

A. 810 B. 1440
C. 2880 D. 50400
E. 5760

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

A. 360 B. 480
C. 720 D. 5040
E. None of these

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A. 564 B. 645
C. 735 D. 756
E. None of these

In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have not studied either, how many of these studied both Latin and Greek.

Solution ???????

Frog in the Well Puzzle:

Question:
A frog is at the bottom of the well which is 20 meters deep. Everyday the frog jumps 5 meters upwards and fall 4 meters down. How many days it will take for the frog to reach the top?

Solution: ?????? give answer???