Explore topic-wise InterviewSolutions in Current Affairs.

Journalise the following

(i) A Debenture issued at Rs.95, repayable at Rs.100.

(ii) A Debenture issued at Rs.95, repayable at Rs.105.

(iii) A Debenture issued at Rs.100, repayable at Rs.105.

The face value of debenture in each of the above cases is Rs.100.

$\text{Prove that the diagonals of a paral lelogram bisect each other.}$

Fnd the value of x for the equation:
$\frac{(x+2)}{5}–\frac{(x-1)}{2}=\frac{(3x-9)}{2}$ [3 MARKS]

Following is the Balance Sheet of Britannia Ltd. Prepare a Cash Flow Statement.
$\begin{array}{cccc}\text{Particulars}& \text{Note}& 31-03-2015& 31-03-2014\\ & \text{No.}& \text{(Rs)}& \text{(Rs)}\\ \text{I.}\text{Equity and Liabilities}& & & \\ \text{1.}\text{Shareholders' Funds}& & & \\ \text{(a)}\text{Share Capital}& & 8,00,000& 8,00,000\\ \text{(b)}\text{Reserve and Surplus}& 1& 2,00,000& 3,00,000\\ \text{2.}\text{Non-current Liabilities}& & & \\ \text{(1.)}\text{Loang-term Borrowings}& 2& 1,50,000& 2,00,000\\ \text{3.}\text{Current Liabilities}& & & \\ \text{(a)}\text{Short Term Borrowings}& 3& 50,000& 60,000\\ \text{(b)}\text{Trade Payables}& & 60,000& 50,000\\ \text{(c)}\text{Other Current Liabilities}& & 10,000& 15,000\\ \text{(d)}\text{Short-term Provisions}& 4& 60,000& 70,000\\ \text{Total}& & 13,30,000& 14,95,000\\ \text{II.}\text{Assets}& & & \\ \text{1.}\text{Non-current Assets}& & & \\ \text{(a)}\text{Fixed Assets}& & & \\ \text{(1)}\text{Tangible Assets}& & 8,00,000& 7,00,000\\ \text{(2)}\text{Intangible Assets}& & 70,000& 60,000\\ \text{(b)}\text{Non-current Investments}& 5& 2,00,000& 1,50,000\\ \text{2.}\text{Current Assets}& & & \\ \text{(a)}\text{Current Investments}& & 50,000& 40,000\\ \text{(b)}\text{Inventories}& & 1,00,000& 1,25,000\\ \text{(c)}\text{Trade Receivables}& & 50,000& 80,000\\ \text{(d)}\text{Cash and Equivalents}& & 60,000& 3,40,000\\ \text{Total}& & 13,30,000& 14,95,000\end{array}$

Notes to Accounts:
$\begin{array}{ccc}& 31-03-2015& 31-03-2014\\ & \text{(Rs)}& \text{(Rs)}\\ \text{1.}\text{Reserve and Surplus}& & \\ \text{General Reserve}& 50,000& 40,000\\ \text{Profit and Loss Balance}& 1,50,000& 2,60,000\\ \text{2.}8\%\text{Debentures were redeemed on 15th October, 2014}& 1,50,000& 2,00,000\\ \text{3.}\text{Short-term Borrowings}& & \\ \text{Bank Overdraft}& 30,000& 30,000\\ \text{Cash Credit}& 20,000& 30,000\\ \text{4.}\text{Short-term Provisions}& 60,000& 70,000\\ \text{Proposed Dividend}& & \\ \text{5.}\text{Non-current Investments}& 2,00,000& 1,50,000\\ 10\%\text{Long-term Investment}& & \end{array}$

Co-ordinates of P and Q are _______ respectively:

The sum of three consecutive multiples of 4 is 444. The multiples are ____ , ____ and _____ .

Aruna drew 3 lines, CD, KA, TP such that:
CD = KA
CD = TP
What is the relation between KA and TP?

Show that :

${\left(\frac{x^a}{x^{-b}}\right)}^{a-b}.{\left(\frac{x^b}{x^{-c}}\right)}^{b-c}.{\left(\frac{x^c}{x^{-a}}\right)}^{c-1}=1$

From a corner of a cube, a smaller cube is cut out. What can you say about the surface area and volume of the remaining portion of the cube?

Find the greatest common factors (GCF / HCF) of the following polynomials :

$36a^2{b}^2{c}^4,54a^5{c}^2,90a^4{b}^2{c}^2$

Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.

Question 10
Multiplicative inverse of a negative rational number is:
(a) a positive rational number.
(b) a negative rational number.
(c) 0
(d) 1

Question 3(v)
Find the following squares by using identities:
$(0.4p-0.5q{)}^2$

Find the selling price, if : (i) C.P. = Rs. 352; overheads = Rs. 28 and profit = 20%. (ii) C.P. = Rs. 576; overheads = Rs. 44 and loss = 16%.

What is Mathematics?

4z+3=6+2z

Har Prasad saves evey year Rs. 3000, and invests it at the end of the year at 15% compound interest. Find the amount of his savings at the end of the fourth year is [3000(1+3/20)^(3)+3000(1+3/20)^(2)+3000(1+3/20)^(1)+3000] nearly.

The diagonal of a rectangle is 34 cm. If its breadth is 16 cm; find its:

(i) length (ii) area

Please explain closure group of rational numbers

Show that each diagonal of a rhombus bisects the angle through which it passes :

In the given figure, locate the position where the ball lies on the number line.

Question 104

Below are the drawings of cross sections of two different pipes used to fill swimming pools. Figure A is a combination of 2 pipes each having a radius of 8 cm. Figure B is a pipe having a radius of 15 cm. If the force of the flow of water coming out of the pipes is the same in both the cases, which will fill the swimming pool faster?

Which of them are not parallelogram?

A)RhombusB) square C)Rectangle D)Trapezium

Calculate the area of a rectangular park of whose length is $\frac{152}{5}$ m and breadth is $\frac{50}{3}$ m

Question 67

In the following question, state whether the statement is True (T) or False (F):

h is a factor of $2\pi (h+r)$

Question 6 (v)
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:
2800

A and B started a business by investing Rs.4000 and Rs.3000 respectively. After 6 months C joined them by investing Rs.4000. At the end of two years they have earned a profit of Rs.4000, then the share of C in the profit is?

$(2x-32x^3)=?\left(a\right)2(x-4)(x+4)\left(b\right)2x(1-2x{)}^2(c\left)2x\right(1+2x{)}^2\left(d\right)2x(1-4x)(1+4x)$

$4yz(z^2+6z-16)÷2y(z+8)$ gives

${\left(\frac{-3}{2}\right)}^{-1}$ is equal to

Solve the following equations and verify your answer :

$\frac{5x-7}{3x}=2$

Use the given Venn-diagram to find :

(i) B - A

(ii) A

(iii) B'

(iv) $A\cap B$

(v) $A\cup B$

Simplify the following using the identities:

$\left(i\right)\frac{{58}^2-{42}^2}{16}\left(ii\right)178\times 178-22\times 22\left(iii\right)\frac{198\times 198-102\times 102}{96}\left(iv\right)1.73\times 1.73-0.27\times 0.27\left(v\right)\frac{8.63\times 8.63-1.37\times 1.37}{0.726}$

Express in standard form of 21700000

The sides BA and DC of the parallelogram ABCD are produced as shown in figure then which of the following option is correct?

Question 57

On simplification, $\frac{3x+3}{3}=$ ___

Find the least perfect square with four digits

by finding cube roots by prime factorisation

Ex.find cube root of 216 by prime factorisation method

216=2x2x2x3x3x3

=2x3 in this step why we took just one insted of three?

65% of 95 is :

Simplify the following expression:
$9x^3-6+4x+11-6x^2-2x+3x^3-2+16x^2+x^4$.

The value of x for the equation 16(3x - 5) = 10(4x + 8) is _______ .

Which of the following statements is/are correct?

Is it possible to have a polygon; whose sum of interior angles is :

(i) ${870}^o$

(ii) ${2340}^o$

(iii) 7 right - angles

(iv) ${4500}^o$ ?

If the product of the roots of the equation $(a+1)x^2+(2a+3)x+(3a+4)=0$ be $2$, then the sum of roots is