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Match the following inequalities to their respective solutions

Two numbers $X$ and $Y$ are given by $X=2\times 3\times 5$ and $Y=2\times 5\times 11.$ Then prime factorization of $X\cdot Y$ is

While walking from home to school, $\text{Sam}$ takes 70 steps per minute. $\text{Sam}$ increased his walking pace by 10% on the way back. What is his walking pace (steps per minute) on his way home from school?

What is the representation of an information through pictures called?

Question 1 (c)

Find:

(–15) – (–18)

Question 72

In the following figure, each division represents 1 cm

Express numerically the ratios of the following distances

(i) AC : AF

(ii) AG : AD

(iii) BF : AI

(iv) CE : DI

Type A man complete a work in 5 days , b in 12days , c in 40 .

If 2 men of a type , 3 men of b type and 17 men of c type work collectively then how much time is required to complete the work.

(AIIMS 2017 mentall ability question )

The daily temperature recorded (in ${}^{\circ }F$) at a particular place during six days of a week was as follows





What will be the average temperature?

The value of $2\overline{.876}$ is equal to

If the zero mark on the scale in your geometry-box is invisible, for correct measurement:

'What on earth?? -1?? Sir, what are you talking about? Numbers like that do not exist.' the dwarf told with utter surprise. You told, 'As a matter of fact, they do.' Then the dwarf went to arrange the council of mathematicians. Now, you really wanted to know where you were. Given the behaviour of the dwarf, you must be some important person. Why not play a little longer??

After the council was called, you found yourself amidst several dwarf mathematicians. In the centre, there sat two dwarfs who looked almost alike. Then you told: The number which you all know, the counting numbers, are known as-

Given that a, b, c, d, p and q are natural numbers such that a < b and d < c. It is also given that the following result holds true:

$\frac{a}{b}\times \frac{d}{c}=\frac{q}{p}$

Choose the correct option(s):

5.4 + 0.54 + 54.0 =

In an arts & crafts class, a student cuts a circle of area 1 sq. unit into 4 quarters. Then, she further cuts each quarter into 3 sections of equal area. Finally, she cuts each of these sections into 2 equal divisions. What will be the area of one such final division?

Put in the correct sign.

45.52 ___ 52.45

For manufacturing a certain item, the fixed cost is $\text{Rs.}6000$ and cost of producing each unit is $\text{Rs.}20.$ Then the average cost of producing $15$ units is



[2 marks]

Identify proper fractions from the following.

1. 16

Which number is a multiple of 8?

Find the sum of $1\frac{5}{6}$ and $\frac{13}{36}$

Which of the following correctly expresses 1620 as a product of its prime factor?

Solve the equation : x + 13 = -15

चुटकी बजाने का मतलब होता है 'बहुत जल्दी कर लेना।'

(क) तुम कौन-कौन से काम चुटकी बजाते ही कर लेते हो? बताओ।

(ख) अब तुम अपनी एक टोली बनाओ। तुममें से एक लीडर बनेगा। वह बाकी बच्चों को करने के लिए काम देगा जिसे चुटकी बजाते ही करना होगा। जैसे– बाहर से पाँच पत्तियाँ लाओ और उनके नाम बताओ या शेखीबाज़ मक्खी के पात्रों के नाम बताओ। जो सबसे जल्दी कर ले वह लीडर बने।

A room is 13 m long and 9m broad. Find the cost of carpeting the room with a carpet 75 cm broad at the cost of 50 per metre

Which two figures are mirror images of each other (Mirror is shown by dotted lines)?

Number of ways in which four distinct balls can be put into two identical boxes so that no box remains empty, is

Cost of 4 dozens bananas is Rs 180. How many bananas can be purchased for Rs 90?

As Tom was standing inside the figure, Jack had to stand outside the figure. What is Jack's position?

Volume of a cuboid is 240 $c{m}^3$. If its length is 8 cm and height is 5 cm, find its breadth.