If the sum of two integers a and b is zero, then

1

(a)

a=0, b=0

(b)

a = -b

(c)

Both (a) and (b) are not zero

(d)

None of these

The value of 1200 x 2 is

1

(a)

600 x 20

(b)

2000 + 400

(c)

600 + 600

(d)

None of these

If * represents 3 mangoes, then 18 mangoes are represented by

1

(a)

***

(b)

****

(c)

******

(d)

None of these

The value of (-10) x (-5) + (-7) is

1

(a)

40

(b)

-43

(c)

43

(d)

23

(-43) x (-99) + 43 is equal to

1

(a)

4300

(b)

-4300

(c)

4257

(d)

-4214

On the following number line, zero is shown by the point.

1

(a)

X

(b)

Z

(c)

Y

(d)

W

Which of the following does not represent an integer?

1

(a)

0 \(\div\) (-7)

(b)

20 \(\div\) (-4)

(c)

(-9) \(\div\) 3

(d)

(-12) \(\div\) 5

Next three consecutive numbers in the pattern 11, 8, 5, 2, ... are

1

(a)

0,-3, -4

(b)

-1, -5,-8

(c)

2, -5, -8

(d)

1, -4, -7

If \(\bigotimes \) , O and \(\bullet\)  represent some integers on the number line, then descending order of these numbers is

1

(a)

\(\bullet ,\bigotimes ,\oslash ,O\)

(b)

\(\bigotimes ,\bullet ,\oslash ,O\)

(c)

\(O,\oslash ,\bigotimes ,\bullet \)

(d)

\(O,\bullet ,\bigotimes ,\oslash \)

(16) \(\div\) 4 is not same as:

1

(a)

(-4) \(\div\) 16

(b)

-(16 \(\div\) 4)

(c)

16 \(\div\) (-4)

(d)

-4

\(\frac{2}{5}\times 5\frac{1}{5}\) is equaI to

1

(a)

\(\frac{26}{25}\)

(b)

\(\frac{52}{25}\)

(c)

\(\frac{2}{5}\)

(d)

6

Pictorial representation of \(3\times \frac{2}{3} \)is

1

(a)

(b)

(c)

(d)

The product of \(\frac{11}{13}\) and 4 is

1

(a)

\(3 \frac{5}{13}\)

(b)

\(5\frac{3}{13}\)

(c)

\(13\frac{5}{5}\)

(d)

\(13\frac{5}{3}\)

Which of the following represents \(\frac{1}{3}\)of\(\frac{1}{6}\)?  

1

(a)

\(\frac{1}{3}+\frac{1}{6}\)

(b)

\(\frac{1}{3}-\frac{1}{6}\)

(c)

\(\frac{1}{3}\times \frac{1}{6}\)

(d)

\(\frac{1}{3}\div \frac{1}{6}\)

In the year 2014, Shantanu gets Rs 3832.5 as his pocket allowance. Find his pockect allowane per day

1

(a)

Rs 9.5 

(b)

Rs 10.5

(c)

Rs 12.5

(d)

Rs 11.5

How many pieces of 13.2 cm can be cut from a 330 cm long rod?

1

(a)

25

(b)

28

(c)

21

(d)

35

\(\frac{5}{12}\)part of what amount will be equal to 3\(\frac{3}{4}\) part of Rs 100?

1

(a)

Rs 900 

(b)

Rs 940

(c)

Rs 875

(d)

Rs 925

Which measures of central tendency get affected, if the extreme observations on both the ends of a data a arranged in descending order are removed?

1

(a)

Mean and mode

(b)

Mean and median

(c)

Mode and median

(d)

Mean, median and mode

The solution of which of the following equations is neither a fraction not an integer?

1

(a)

2x + 6 = 0

(b)

3x - 5 = 0

(c)

5x - 8 = x + 4

(d)

4x + 7 = x + 2

If 7x + 4 = 39, then x is equal to

1

(a)

6

(b)

-4

(c)

5

(d)

8

If 8m - 8 = 56, then m is equal to

1

(a)

-4

(b)

-2

(c)

-14

(d)

8

If k + 2 = 6, then the value of 4k + 12 is equal to

1

(a)

16

(b)

-12

(c)

28

(d)

-30

Using >, < or =.
18 - 16 ____ + 2

1

(a)

=

Using >, < or =.
21 - 5 ____ 40 - 6

1

(a)

<

-53 + ______ = - 53

1

(a)

(- 53) + 0 = - 53            [ if we add zero to any number, then we get the same number ]

17 + ______ = 0

1

(a)

17 + (-17) = 0        [\(\because\) sum of an integer and its additive inverse is zero]

[ 13 + (- 12) ] + ______ = 13 + [ (- 12) + (- 7) ]

1

(a)

[ 13 + (-12) ] + (-7) = 13 + [ (-12) + (- 7) ]      [\(\because\) addition of integers is associative]

- 4 + [ 15 +  (- 3) ] = [ - 4 + 15 ] + ______

1

(a)

(- 4) + [ 15 + (-3) ] = [ (- 4) + 15 ] + (-3)                  [\(\because\)addition of integers is commutative]

The following statement true:
-6 + 8 = 8 + ________

1

(a)

-6 (commutative property of addition)

The following statement true:
[2 + 12] + 6 = 2 + [ 12 + ____ ]

1

(a)

6 (associative property of addition)

Replace the blank with an integer to make it a true statement. (-3) x _____ =27

2

(a)

(- 3) x (- 9) = 27

Replace the blank with an integer to make it a true statement.  5 x____ = - 35

2

(a)

5 x (- 7) = - 35

What is the product of (-1) and 1?

2

(a)

-1

What is the sum of (-1) and 1?

2

(a)

0

What is the additive inverse of -1?

2

(a)

1

What is the additive inverse of 0?

2

(a)

0

What is the additive inverse of (-14)?

2

(a)

14

Following are the marks obtained by 25 students in class test (out of 25 marks) in Maths :
18, 13, 18, 16, 8, 5, 13, 5, 18, 18,2,16, 13, 8, 17, 18 5, 2, 13, 8, 19, 16, 8, 20.
How many students obtained marks more than the mean marks?

2

(a)

The mean marks (out of 100) of a group of students is 60. If their marks are 85, 62, 36, 48, 72, x, 75 and 39, then find the value of x.

2

(a)

If \(\Delta\) is an operation such that for integers a and b, we have a\(\Delta\)b = a \(\times\) b - 2 (a + b) + b (b - a) \(\times\) b \(\times\) b Then, find
(i) 4 \(\Delta\)(-3)
(ii) (-7) \(\Delta\)(-1) 
Also, show that 4 \(\Delta\)(-3) \(\neq\) (-3) \(\Delta\) 4 and (-7) \(\Delta\) (-1) \(\neq\) (-1) \(\Delta\) (-7)

2

(a)

If * is an operation such that for integers a and b, we have a * b = a \(\times\) b + (a \(\times\)a + b \(\times\) b). then find
(i) (-3) * (-5)
(ii) (-6) * 2

5

(a)

A shopkeeper gains Rs 1 on each pen and loses 40 paise on each pencil. He sells 45 pens and some pencils losing Rs 5 in all. How many pencils does he sell?

5

(a)

Find 4 x (- 8), 8 x (- 2), 3 x (- 7), 10 x (- 1) using number line.

5

(a)

Is (i) 1 + a = 1 and (ii) a + (-1) = -a for any integer a? Take different values of a and
check.

5

(a)

Express the following numbers in the standard form:
9585.3

5

(a)

Express the following numbers in the standard form:
56,950

5

(a)

Express the following numbers in the standard form:
90040000000

5

(a)

Express the following numbers in normal form:
5.8 x 10⁵

5

(a)

Express the following numbers in normal form:
4.0 x 10¹⁰

5

(a)