Factors

Q.

In what time will $Rs.1,60,000$ become $Rs1,94,481$ if interest is $10\%$ p.a. compounded semi-annually?

1. $2$ years

2. $2$ half years

3. $4$ years

4. $3$ years

Q. 29. How many number from 1 to 360, which are co-prime with 360.

Q.

Question 137

Fill in the blank to make the statement true.

......... is a factor of every number.

Q. Question 25
Using suitable identity, evaluate the following
(i) ${103}^3$

(ii) $101\times 102$

(iii) ${999}^2$

Q. The value of $(109{)}^2$ is 11891

1. 11881

2. 10881

Q.

Two numbers which have exactly three factors are

1. 4, 9

2. 4, 10

3. 6, 8

4. 9, 15

Q.

For the given equation $x^2-5x+6=0$, for how many values of $x$ does this equation hold true?

1. 3 values

2. All values

3. 2 values

4. 1 value

Q. Using $a^2-b^2=(a+b)(a-b),$ find
${52}^2-{48}^2$

1. $300$
2. $400$
3. $310$
4. $200$

Q.

What is the greatest four digit number which is divisible by 15, 25, 40 and 75? [4 MARKS]

Q.

Please answer me fast

What is the number of zeroes in the end of 599!

Q. 57.One of the factors of a(b - c) + b(c - a) + c( a - b) is (1) (2a - b) (2) (a + b - c) (3) (a - b - c) (4) (a + b - c)

Q. What is the value of $104\times 96$?

1. 10, 234
2. 9, 984
3. 11, 324
4. 9, 469

Q.

Write allthe factors of the following numbers:

(a) 24 (b) 15 (c) 21

(d) 27 (e) 12 (f) 20

(g) 18 (h) 23 (i) 36

Q.

The factors of 72 are

1. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 72

2. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

3. 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

4. 2, 3, 4 , 6, 8 , 9, 12, 18, 24, 36, 72

Q. $15$ men buid a $16.25-m$ long wall up to a certain height in one day. How many men should be employed to build a wall of the same height but of length $26$ metres in one day?

Q. While factorising 123, which of the the following is the least prime factor of 123?

1. 3
2. 17
3. 1
4. 41

Q. 70 expressed as the product of its prime factors is:

1. 2 x 5 x 7
2. 2 x 3 x 5
3. 2 x 3 x 7
4. 3 x 5 x 7

Q. If $x^3-4x^2+6x-60$
$=(x-a)(x-b)(x-c)$, then $a,b$ and $c$ should be factors of .

1. -4
2. 4
3. -60
4. 60

Q. 70 expressed as the product of its prime factors is:

1. 3 x 5 x 7
2. 2 x 3 x 7
3. 2 x 5 x 7
4. 2 x 3 x 5

Q.

If $x^{100}+2x^{99}+k$ is divisible by $(x+1)$, then the value of $k$ is

1. 1

2. -3

3. 3

4. -2

Q. Solve the following equation by factorization.
$x^2-8x-16=0$

Q. Match the numbers to the product of its prime factors.

1. 2 × 2 × 3 × 13
2. 2 × 2 × 5 × 5
3. 3 × 37
4. 2 × 2 × 5 × 7

Q. Match the numbers to the product of its prime factors.

1. 3 × 37
2. 2 × 2 × 5 × 7
3. 2 × 2 × 3 × 13
4. 2 × 2 × 5 × 5

Q. 70 expressed as the product of its prime factors is:

1. 2 x 3 x 7
2. 3 x 5 x 7
3. 2 x 3 x 5
4. 2 x 5 x 7

Q. While factorising 123, which of the the following is the least prime factor of 123?

1. 41
2. 3
3. 17
4. 1

Q.

If $x^{100}+2x^{99}+k$ is divisible by $(x+1)$, then the value of $k$ is

1. 1

2. -3

3. 3

4. -2

Q. While factorising 123, which of the the following is the least prime factor of 123?

1. 17
2. 1
3. 41
4. 3

Q. If both $x+1$ and $x-1$ are factors of $a{x}^3+x^2+2a+b=0$, find the values of $a$ and $b$ respectively.

1. $2,1$
2. $2,4$
3. $2,2$
4. $2,3$

Q. find the number of factors of 1080.

Q.

The common factor of 3ab and 2cd is:

1. 1

2. -1

3. a

4. c