Exams

Let original length = x and original breadth = y.  

Decrease in area = xy - 80100x×90100y = (7/25)xy

Decrease % =    (7/25)xy * (1/xy) * 100 = 28%

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.

Hence, it is 58 and not 85.

3469 = 2025+?x?
? x ?= 3469-2025
? x ?= 1444
? = 38

The Feroz Shah Kotla Ground is a cricket ground built in 1883 in New Delhi is the second oldest international cricket stadium still functional in India, after the Eden Gardens in Kolkata. It also holds the record of the smallest cricket stadium in the world by boundary.

Number of boys in the row = number of boys uptil P + number of boys between P and Q + number of boys including Q and those behind Q = 14 + 4 + 7 = 25.

 H   L   C   N    T    A   U   I   O

      L        N          A        I

There are total 131 letters out of which 7 are consonants and 6 are vowels. Also ther are 2L's , 2N's, 2A's and 2I's.

If all the consonants  are together then the numberof arrangements = 7!2!x 1/2! .

But the 7 consonants  can be arranged themselves in  7!2! x 1/2! ways. 

Hence the required number of ways = 7!2!2!2 = 1587600