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$8^x$ = $2^6$ , find the value of x?

Question 199

Using divisibility test, determine which of the following numbers are divisible by 4?

(a) 4096

(b) 21084

(c) 31795012

Question 4(b)

Cost of 5kg of wheat is Rs 30.50

What quantity of wheat can be purchased in Rs 61?

Question 5(a)

On a squared paper, sketch the triangle with a horizontal line of symmetry but no vertical line of symmetry.

Which of the following statements is not true?

Which is the correct representation of a line?

If a figure is symmetrical aboul line 'l' and one side of the figure about line 'l' is given below. Find the other part.

Which of the following should be the SECOND sentence after rearrangement?

A glass holds 200 millilitres of water. How many glasses are required to fill a water bottle of 1 litre. (1 litres = 1000 ml)

Question 1

A survey of 120 school students was done to find which activity they prefer to do in their free time:
Draw a bar graph to illustrate the above data taking the scale of 1 unit length = 5 students.
Which activity is preferred by most of the students other than playing?

Identify the nets of a cone.

Question 1 (a)

Say True or False:

Each angle of a rectangle is a right angle.

Question 2(b):

Draw a rough sketch of a quadrilateral KLMN.

State : Two pairs of opposite angles.

If a and b are natural numbers such that a < b, then $\frac{a}{b}$ is a/an __ fraction.

Question 4 (b)

Express the following as km using decimals:

88m

A train travels 40 km at a uniform speed of $30km{h}^{-1}$. Its average speed after travelling another 40 km is $45km{h}^{-1}$ for the whole journey. Find its speed in the second half of the journey.

Find the sum by suitable arrangement

547+204+686

Find the following ratios in simplest form: $Rs.6.30:Rs.16.80$

Question 196

In a school library, there are 780 books of English and 364 books of Science. Ms. Yakang, the librarian of the school wants to store these books in shelves, such that each shelf should have the same number of books of each subject. What should be the maximum number of books in each shelf?

You have points C, A and B on a straight line. AB = 13 cm, CB = 9 cm and AC = 4 cm. Which of the following options is true?

There are three tankers whose capacities are in the ratio 4 : 5 : 6. If the largest water tanker can hold a capacity of 3600 liters, then find the capacity of the other two tankers in liters.

$X$ is the midpoint of the line segment PQ whose length is 26.7 cm. The length of line segment QX is :

8 $÷$ 8 + 8 $\times$ 8 - 8

1. 190

If a man pays $Rs.28,000$ as rent for $4$ months, what is his rent for $2$ years?

Match the following

$$\begin{array}{cc}\text{Column A}& \text{Column B}\\ 1.A=\{x:xisanoddnaturalnumber\}& a.\{\frac{1}{2},\frac{1}{3},\frac{2}{3},\frac{3}{4},\frac{3}{5},\frac{5}{7}\}\\ 2.B=\{x:x=(n^2),n\in Nandx<100\}& b.\{1,4,9,16,25,........10000\}\\ 3.C=\{x:x=\frac{n}{n+2},wherenisanaturalnumberand1\le n\le 6\}& c.\{1,4,9,16,25,36,49,64,81\}\\ 4.D=\{x:xisaletterofthewordTRIGONOMETRY\}& d.\{g,e,i,m,n,o,r,t,y\}\\ & e.\{1,3,5,7,9,...............\}\end{array}$$

H.C.F of 45, 30 & 100 is

Which of the following figures have symmetry in them?

Input: mind new 27 35 19 59 own tower

Which of the following step will be the last but one?

What is the name of the polygon given below?

​​

15 - (6 + 6 × 6) ÷ (9 + 5) = ?

Question 3: Use the figure to name :

(a) A line containing point E​​​

Consider the figure (pyramid mounted over cube):

If the number of faces, number of edges and number of vertices be F, E and V respectively, then find the value of $F+E+V$.

Question 3 (c)

Add without using number line:
(–10) + (+19)

What is the cost of cultivating a rectangular field 34 m long and 18 m wide at ₹4.50 per square metre?

Find the value of $\angle ACB$ in the figure shown below:

Find the digit at tenths place in 456.189.

The price of a book is 20 more than the cost of a copy. Write an expression for the cost of copy by taking the cost of book to be Rs x.

If we have $\angle$ABC as $theta$, reflex $angle$ABC is equal to ________________.

Question 1 (c)
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
c)

If the number of digits formed is taken to be 'n', the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern. How many segments are required to form 5, 10, 100 digits of the kind

What are these called?

Question 8

Only one of the four options is correct. Write the correct one.

The greatest ratio among the ratios 2 : 3, 5 : 8, 75 : 121 and 40 : 25 is

a) 2 : 3

b) 5 : 8

c) 75 : 121

d) 40 : 25

What is additive inverse of a number? What is the additive inverse of $7$ and $-5$?

Consider the following equilateral triangle:

What is the measure of $\angle CAB$ ?

What is the HCF of $\frac{1}{4}$ and $\frac{4}{9}$?

Following questions are based on the pie chart that shows the viewership of different channels in the month of February 2006 in India. There are no overlaps of viewership in channels.

Q22. If the viewership of National for the first half of February is half that of the second half of February, then what is the ratio of viewership of National for the second half of February to that of Aajtak for the whole month?

निम्नलिखित प्रश्न पाई चार्ट पर आधारित है, जो भारत में फरवरी 2006 के महीने में विभिन्न चैनलों के दर्शकों की संख्या दर्शाती है। चैनलों में दर्शकों की कोई अतिव्यापी नहीं है।

Q22. अगर फरवरी के पहले पूर्वाध के लिए नेशनल की दर्शकता फरवरी के उतरार्ध का आधा है, तो पूरे महीने के लिए फरवरी के उतरार्ध के लिए नेशनल की दर्शकता का अनुपात क्या है?