Embibe Experts Solutions for Chapter: Mathematical Operations, Exercise 1: Exercise

If a number is greater than $2$ but less than $8$ and greater than $5$ but less than $10$, then the number is -

Select the correct combination of mathematical signs to replace * signs and to balance the given equation.

$5 * 5 * 5 * 3 * 10$

Which of the following alternative is correct, If '→' stands for addition, '←' stands for subtraction, '­↑' stands for division, '↓' stands for multiplication, '$\nearrow$' Stands for equal to ?

If $15+8\times 6=13, 76+8\times 10=78$, then $15+6\times 8=?$

In a class composed of x girls and y boys what part of the class is composed of girls?

In the following questions, the symbols $+, \times , =, ÷ \mathrm{and} -$%, ∆, #, &, ¢ are used. All the symbols define the following meanings.
'P$+$Q' means 'P is greater than Q'.
'P$\times$Q' means 'P is either greater than or equal to Q'.
'P$=$Q' means 'P is equal to Q'.
'P$÷$Q' means 'P is smaller than Q'.
'P$-$Q' means 'P is either smaller than or equal to Q'.

In the question, assuming the given statements to be true, find which of the two conclusions I and II have given below is/are definitely true.

Statements: S $\times$ Q, R $+$ T, R $-$ S
Conclusions: I. S $+$ T         II. Q $=$ T

In the given question is coded with different symbols and each symbol has the certain meaning:
'P $?$ Q' means 'P is either equal to or smaller than Q'.
'P $\$$ Q' means 'P is neither greater than nor smaller than Q'.
'P $*$ Q' means 'P is neither greater than nor equal to Q'.
'P $@$ Q' means 'P is either greater than or equal to Q'.
'P $\&$ Q' means 'P is not equal to Q'.

Answer the following statements using the given conditions --
Statements: K $@$ R, L $\&$ B, B $?$ K
Conclusions:
I. B $?$R
II. R $*$ L

'A $@$ B' means 'A is neither equal to nor smaller than B'.
'A $с$ B' means 'A is neither greater nor smaller than B'.
'A $\pounds$ B' means 'A is not equal to B'.
'A $?$ B' means 'A is neither greater than nor equal to B'.
'A $\$$ B' means 'A is either greater or equal to B'.

Answer the following statements using the given conditions --
Statements: N $?$ S, S $@$ P, P $\pounds$ M
Conclusions:
I. S $@$ M
II. P $с$ N