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Question 2 (iii)
In the adjoining figure, identify:

The pairs of interior angels on the same side of the transversal.

1. 10000

Four corners of the square of the area $32c{m}^2$ are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square. Find the area of the new square.

In the adjoining figue, which of the following are the perpendicular bisectors of the $△ABC$?

If $\frac{p}{q}={\left(\frac{2}{3}\right)}^2÷{\left(\frac{6}{7}\right)}^0$, then find the value of ${\left(\frac{q}{p}\right)}^3$.

A and B take 6 and 9 hours respectively to complete a work work for 1 hour and then we were for 2 hours how much work is done in these 3hours and how much work is still left?

If $a,b,$ and $c$ are three digits of a three-digit number, prove that $abc+cab+bca$ is a multiple of

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

Timothy borrowed $\$20$ from Ron on Monday and bought a pair of jeans that costs $\$19$. On Tuesday, he got an allowance of $\$25$ which he used to pay his debt to Ron. On Thursday, Timothy earned some money running errands for his neighbors around town. On Friday, he met Ron and Chris in an amusement park where they spent $\$30$ in total which they shared equally. After sharing the cost it turns out that Timothy had no money left. Assuming that he doesn't owe any money to anyone how much money did Timothy earn on Thursday?

If 5² × 5⁴ × 5⁶ × ……× 5²ⁿ = (0.04)⁻²⁸ what is n?

Given pie-charts show sales of mobile phones in different years.



The sale of nokia mobile phones in 2019 becomes of its sale in 2016.

Raju's age is 5 more than twice Ram's age. If Ram's age is represented by $x$, the expression which represents Raju's age is

An irreducible factor is a factor which cannot be expressed further as a ___ of factors.

In the following passage, there are blanks each of which has been numbered. These numbers are printed below the passage and against each, five words/phrases are suggested, one of which fits the blank appropriately. Find out the appropriate word in each case.

Mobile banking (M–banking) involves the use of a mobile phone or any other mobile device to _____(1)_____ financial transactions linked to a client’s account. M–banking is new in most countries and most mobile payment models even in developed countries till date operates on a _____(2)_____ scale. A mobile network offers a _____(3)_____ available technology platform onto which other services can be provided at low cost with effective results. For example, M–banking services which use _____(4)_____ such as SMS can be carried at a cost of less than one US cent per message. The low cost of using existing infrastructure makes such service more _____(5)_____ to use by customers with lower purchasing power and opens up access to services which did not reach them earlier due to _____(6)_____ cost of service delivery. Although M-banking is one aspect in the wider _____(7)_____ of e–banking, there are reasons to single it out for focus, especially because there are a lot more people with mobile phones than bank accounts in India.
M–banking could provide a _____(8)_____ solution to bring more 'unbanked’ people to the financial mainstream. Without traditional credit, individuals are _____(9)_____ to exploitation by abusive lenders offering very high interest rates on short-term loans. Also of considerable importance are public safety implications for the unbanked – they are often victims of crime because many operate on a cash-only basis and end up carrying significant amounts of cash on their _____(10)_____ or store cash in their homes.

Find out the appropriate word which fits into the 1st blank.

Tom is an $x$-year-old boy. Determine Dennis's age in terms of Tom's age if he is four years younger.

Given that $x$ and $y$ are in direct proportion, and $y_1,y_2$ are values of $y$ corresponding to the values $x_1,x_2$ of $x$ respectively. Which of the following is correct?

1. 68.3

The fraction which gives a recurring decimal is

A man walking at the rate of 6 kmph crosses a square field diagonally in 4 min. what is the area of the field?

6 कि.मी. प्रति घंटा की दर से चलने वाला एक व्यक्ति एक वर्गाकार खेत को 4 मिनट में उसके विकर्ण पथ पर पार करता है। खेत का क्षेत्रफल कितना है?

Question 2

Visualize $4.\overline{26}$ on the number line, up to 4 decimal places.

After getting two successive discounts, a shirt with a marked price of ₹150 is available at ₹105. If the second discount is 12.5%, find the first discount.

Observe the dot arranged in the triangle. How many dots will be there in the 6th triangle of series?

The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F.



List out the brands of bags which are the top two heaviest of all.

In a triangle $PQR,$ the co-ordinates of the points $P$ and $Q$ are $(-2,4)$ and $(4,-2)$ respectively. If the equation of the perpendicular bisector of $PR$ is $2x-y+2=0,$ then the centre of the circumcircle of the $\Delta PQR$ is:

Which of the following is/are true about kite?

i) Kite is a type of parallelogram.

ii) The diagonals of a kite are perpendicular to each other.

iii) The diagonals of a kite bisect each other.

iv) One pair of opposite angles is equal to each other.

Housing price rose in January and February, fell slightly in March, and is holding steady now. Which of the following graph best represents this stated scenario?

The interest on ₹ 500 is ₹ 25. Calculate the interest on ₹ 750.

If each pair of opposite angles are equal in a quadrilateral. Prove that it is a parralelogram.