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Question 10

Write the correct answer from the given four options.

If one member of a Pythagorean triplet is $2m$, then the other two members are

a) $m,m^2+1$

b) $m^2+1,m^2-1$

c) $m^2,m^2-1$

d) $m^2,m+1$

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लिखिए।

In this case how many time intervals can Sid calculate?

$$\begin{array}{cccccccccccccccc}\text{Bus}& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10& 11& 12& 13& 14& 15\\ \text{Time(hr:min)}& 8:15& 8:18& 8:23& 8:29& 8:32& 8:40& 8:45& 8:52& 8:54& 9:00& 9:07& 9:13& 9:20& 9:25& 9:32\end{array}$$

__

Select the correct option which adds up to the sum of $\$$100.

Identify like terms in the following:

$10pq,7p,8q,-p^2{q}^2,-7qp,-100q,-23,12q^2{p}^2,-5p^2,41,2,405p,78qp,13p^{2}q,q{p}^2,701p^2$

Question 122

If $\frac{5^m\times 5^3\times 5^{-2}}{5^{-5}}=5^{12},$ then find m.

Evaluate 15+(-8)

2xy + 4x² + 5xy + 5y² + 16x² is equal to

Find the quotient of:

(1) 26 ÷ 2

(2) 54 ÷ 3

(3) 68 ÷ (−4)

(4) 108 ÷ (−9)

(5) (−56) ÷ 7

(6) (−168) ÷ 4

(7) (−96) ÷ (−8)

(8) (−209) ÷ (−11)

(9)

(10)

Mention the laws which are applicable in the following situations.

1. 90

A farmer has to construct 3 storage units for rice with the same capacity. Rice is available to the farmer in bags of 80 kg, 85 kg and 90 kg. Find the minimum storage capacity of each of the storage unit considering that he has to take rice in bags of 80 kg, 85 kg and 90 kg only.

Find the total of 33 and 67.

' (29 - 7.2) - 0.8 ' equals

1. 2

There are 15 letters (upper case) in English alphabet which are symmetrical. Those are

A,B,C,D,E,H,I,M,O,T,U,V,W, X, Y

Find how many of 15 exhibit point symmetry as well. Your answer should be a number.

Question 2 (i)

Write a Pythagorean triplet whose one member is:

6

Question 37

Fill in the blanks to make the statements true.

There is a number in the box $\square$ such that, $\square ,24,9,12$ are in proportion.

The number in the box is ___.

Find the value of:

(i) $(-4)÷\frac{2}{3}$

(ii) $\frac{-3}{5}÷2$

(iii) $\frac{-4}{5}÷-3$

(iv) $\frac{-1}{8}÷\frac{3}{4}$

(v) $\frac{-2}{13}÷\frac{1}{7}$

(vi) $\frac{-7}{12}÷\frac{-2}{13}$

(vii) $\frac{3}{13}÷\frac{-4}{65}$

A room has 7 doors. In how many ways can a person enter through one door and come out through a different door?

Question 33

State whether the following statement is true (T) or false (F).

3 years ago, the age of boy was y years. His age 2 years ago was (y-2) years.

Which of the following are equal to $(x^2{)}^3{)}^2?$

Question 2(d)

Write True (T) or False (F) against each of the following statements:

$8:9::24:27$

In both experimental and theoretical probability, the probability of a favorable event can be given by which of the following?

Which of the following is a 'Euler’s formula'?

Simplify:

$\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}+\sqrt{11}}+\frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}-\sqrt{11}}$

Ten letters need to be posted. A letter is placed in an envelope that has the address position embedded in it. It is given that a single envelope can contain more than 1 letter but not more than 5 letters. Determine the smallest number of envelopes required.

1. 2

Which of the following cuttings can be used to make a cuboidal box with a top

Separate statistics for boys and girls help understand the data in a better way.

Which of the following is the most simplified form of $(\sqrt{4}+\sqrt{12}+\sqrt{3})$ ?

Solve, $\frac{x-4}{3}+\frac{2x-3}{3}=\frac{5x-32}{3}-\frac{x+9}{3}$.

Find the ratio of 2 hr 25 min to 3 hr 52 min.

Out of the 14 apples that I had, ${\frac{2}{7}}^{th}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{th}$ of the fresh apples. Half of the remaining apples were eaten up by my friend.

Enter the total number of apples which are left with me ___