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Question 110 (iii)

Science Application An atom consists of charged particles called electrons and protons. Each proton has a charge of +1 and each electron has a charge -1. Remember the number of electrons is equal to the number of protons, while answering this question :
What will be the charge on an atom, if it gains an electron?

Question 42

State whether the given statements are true or false
$\text{One hour}={60}^2\text{seconds}$

Question 70

Solve the following:

0.25(4x-5)=0.75x+8

The sum of any five consecutive numbers is multiple of ___

Question 56 (d)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

2a + 2b + 2c - 2a - 2b - 2c - 2b + 2c + 2a

Question 66 (e)

Find the value of the given polynomial at a = -2 and b = 3.

$\frac{a^2+b^2}{3}$

Write all the two digit number which when added to 27 get reversed?

An angle is equal to five times its complement. Determine its measure. [2 MARKS]

A square of a area 9 sq.units is cut along its diagonal to form four triangles and these are arranged on another square of 9 sq.units to form a larger square.Then the area of the larger square is

Question 10 (i)

Write the following rational numbers in ascending order:
$\frac{-3}{5},\frac{-2}{5},\frac{-1}{5}$

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 2nd blank.

How many zeroes are there after the decimal place (before a digit comes) when we convert the following Fraction to decimals : $\frac{3468}{{10}^8}$

Find the number of triangles in the given figure

The statement "A number when multiplied by fifteen gives nine" can be algebraically expressed as ________.

Check whether the value given in the brackets is a solution to the given equation or not:
$n+5=19(n=1)$

$25a^5{b}^5{c}^3÷5a^4{b}^4{c}^2=$

Consider the following table and answer the questions that follow.

The student who performed best in all three terms is _______ .

A circle centered at O and of radius 3.5 cm is divided into six equal parts as shown in the figure below.

If the endpoints of these lines are joined, then the 2D shape so obtained is

Question 111

In a $\Delta ABC$, the measure of an $\angle A$ is ${40}^{\circ }$ less than the measure of $\angle B$ and $\angle C$ is ${50}^{\circ }$ more than that of $\angle A$. Find the measure of $\angle A$.

Complete the pattern

-11,-8,-5,-2,-----, -----,-----

In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Choose the correct option.

Identify the proper fractions from the following:

1. $\frac{11}{7}$

2. $\frac{3}{7}$

3. $\frac{999}{99}$

4. $\frac{114}{788}$

5. $\frac{14}{100}$

A company issues the following debentures.

(i) 10,000, 12% debentures of Rs.100 each at par but redeemable at premium of 5% after 5 years;

(ii) 10,000, 12% debentures of Rs.100 each at a discount of 10% but redeemable at par after 5 years;

(iii) 5,000, 12% debentures of Rs.1,000 each at a premium of 5% but redeemable at par after 5 years;

(iv) 1,000, 12% debentures of Rs.100 each issued to a supplier of machinery costing Rs.95,000. The debentures are repayable after 5 years; and

(v) 300, 12% debentures of Rs.100 each as a collateral security to a bank which has advanced a loan of Rs. 25000 to the company for a period of 5 years.

pass the journal entries to record the

(i) issue of debewntures; and

(ii) repayment of debentures after the given period.

In square ABCD, if $BD=6cm$, then the length of AC is ____ cm.

1. 6

The line segment BD = ________ in the given diagram.

$Rs.10000$ is invested at $5\%$ interest rate p.a. Find the interest at the end of one year.

Find the difference between $\frac{1}{8}$ and $\frac{1}{6}$.

Hermaan drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?

Find the frequency of 40 in the following given set of data.

10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

The area of a trapezium shaped field is 600 m², the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the length of the other parallel side.

Divide ₹642 among A, B, C in the ratio 1:2:3. What will be C's share?

Atul has a profit of ₹ 20. Bharat had a loss of ₹ 50. Carol had a loss of ₹ 30. Which of the following options represents the money with each of them? (A, B, C stands for Atul, Bharat and Carol respectively)

$△$ABC is constructed such that AB = 7 cm, AC = 4 cm and $\angle$A = 75${}^{\circ }$. Then the length of side BC is

Question 123

If the sides of a triangle are produced in an order, show that the sum of the exterior angles so formed is ${360}^{\circ }$

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

In a box of toffees and chocolate, there are 40 toffees out of the 100 items in all. The ratio of toffees to the chocolate is:

Which of the following numbers (integers) is found between the numbers -4 and 0?

Which of the following rational numbers is a non-terminating and repeating decimal?

Question 61

Express the given statement as an equation.

If 10 is substracted from half of a number, the result is 4.

Question 70

State whether the statement is True or False.

In a triangle, sum of squares of two sides is equal to the square of the third side.

The sum of two Integers is -56. If one Integer is -42 find other.

'Sum of the squares of $x$ and $y$ is subtracted from the square of their difference' is written as

The graph shows the distribution of TV viewership for TV channels in the year 2012-13. The % distribution for entertainment is not given. What is it?

Three particles each having a mass of 100 g are placed on the vertices of an equilateral triangle of side 20 cm. The work done in increasing the side of this triangle to 40 cm is

$(G=6.67\times {10}^{-11}\frac{N-m^2}{k{g}^2})$

The product of a fraction and the sum of 5 integer 1 upon 3 and 6 integer 1 upon 3 is 3 what is refraction

Two angles whose sum, is ${180}^{\circ }$ are called supplementary angles. Four angles are formed at the intersection of two lines. How many pairs of supplementary angles and equal angles are formed?