One factor of the expression a² + b² - 2(ac - ac + bc) is 

• (a+b-2c)

• (2a+b-c)

• (a+2h-c)

• (a-b+ 2c)

1.66 x 1.66 + 0.66 x 0.66 - 1.32 x 1.66 is equal to

• 0.1

• 1

• 10

• 101

Which of the following fraction is least?

• $\frac{28}{29}$

• $\frac{58}{59}$

• $\frac{34}{35}$

• $\frac{98}{100}$

The number of integers less than -3 but greater than-8 is

• 2

• 3

• 4

• 6

HCF of two numbers is 28 and their LCM is 336. If one number is 112, then the other number is

• 56

• 70

• 84

• 98

If $\frac{2}{3}$x=0.6 and 0.02 y = 1, then the value of x+y^-1 is

• 0.92

• 1.1

• 49.1

• 50.9

37.

Mr. Sharma was assessing the students' work on exponents. One of the response sheets was as follows
(i) 2³ x 2⁵= 2⁸
(ii) 3² x 4²=(12)⁴
(iii) 3³ $÷$ 3⁵= 3^-2
(iv) 7²⁰ $÷$ 7¹⁴ = 7⁶
(v) 9³ $÷$ 18⁶ = ${\left(\frac{1}{2}\right)}^3$

On the basis of this response sheet, Mr. Sharma can make the following observations

• Child has understood the laws of exponents and can apply them well

• Child has understood the laws of exponents but has made clerical errors

• Child has understood the laws of exponents but has not practised the questions involving division of two numbers

• Child has understood the law of exponents for the cases where the base is same and has missed the concept for the case where the base is different

The square of 9 is divided by the cube root of 125. The remainder is

• 1

• 2

• 3

• 4

The value of $\sqrt{16\sqrt{8\sqrt{4}}}$

• 16

• 8

• $8^3\sqrt{2}$

• $16\sqrt{2}$

One-half of 1.2 x 10^{30 _is} 

• 6.0 x 10³⁰

• 6.0 x 10²⁹

• 0.6 x 5³⁰

• 1.2 x 10¹⁵