Find A and B in the given addition, if
   2 B
+ A B  
   8 A   

5

(a)

Find the values of the letters in each of the following and give reasons for the steps involved.\(\begin{matrix} \quad \quad A\ B \\ +\quad 3\ \ 7 \\ \_ \_ \_ \_ \_ \_ \_ \\ \quad 6\ A \\ \_ \_ \_ \_ \_ \_ \_ \_ \end{matrix}\)

5

(a)

Find the values of A, B, and C, if \(\begin{matrix} \quad \quad 2\ A \\ +\quad 4\ A \\ \_ \_ \_ \_ \_ \_ \_ \\ B\ C\ 3 \\ \_ \_ \_ \_ \_ \_ \_ \end{matrix}\)

5

(a)

Find the values of A and B, if \(\begin{matrix} \quad 4\ 1\ A \\ +\quad B\ \ 4 \\ \_ \_ \_ \_ \_ \_ \_ \_ \\ \quad 5\ 1\ 2 \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \end{matrix}\)

5

(a)

If from a 2-digit number, we subtract the number formed by reversing its digits, then the result so obtained is a perfect cube. How many such numbers are possible? Write all of them.

5

(a)

The daily pocket money given by parents of four schoolmates namely Sonu, Manu, Nonu, and Chanu is Rs 2x, Rs 3x, Rs 5x and Rs 7x respectively. They bought a book "Need Ka Nirman Phir" an autobiography of the renowned poet Dr. Harivansh Rai Bachchan, with their saved pocket money of 1day. If the book costs Rs 680, then
(a) how much amount each of them receives as pocket money?
(b) what are the values depicted by these four boys here?

5

(a)

Write the following numbers in the form of a.
(i) 345
(ii) 275

5

(a)

Find the values of x in 513x, which is a multiple of 3, where x is a single digit.

5

(a)

The number 6831 X 8 is divisible by 4, where x is a digit, what are the possible values of x?

5

(a)

When water freezes its volume increases by 4%. What volume of water is required to make 221 cm³ of ice?

5

(a)