Explore topic-wise InterviewSolutions in Current Affairs.

In the following figure RUNS is a parallelogram. Find x and y.

Aman has 729 coins. He gives some of these coins to his cousin as his birthday gift. The part given away is the square root of 729. How many coins are left with him?

A and B are partners sharing profits and losses in the ratio of 3:1. On 1st Jan, 2007, they admitted C as a new partner for $\frac{1}{4}$ share in the profits of the firm. C brings Rs. 20,000 as for his $\frac{1}{4}$ share in the profits of the firm. The capitals of A and B after all adjustments in respect of goodwill, revaluation of assets and liabilities etc has been worked out at Rs. 50,000 for A and Rs. 12,000 for B. It is agreed that partner's capitals will be according to new profit sharing ratio. Calculate the new capitals of A and B and pass the necessary journal entries assuming that A and B brought in or withdrew the necessary cash as the case may be for making their capitals in proportion to their profit sharing ratio.

Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.

Find the capacity of a cylindrical container with internal diameter 28 cm and height 20 cm.

Find the least number which must be added to 1205 so that the resulting number is a perfect square.

A product is updated with 20% VAT after a cost price of Rs. 500.The bill to be paid in rupees is ___.

Find the simple interest of ₹ 2000 from Jan 12, 2012, to October 30, 2012, at an interest of 10% per annum.

Question 12

In the following question, out of the four options, only one is correct. Write the correct answer:

If x be any non-zero integer and m,n be negative integers, then $x^m\times x^n$ is equal to:
(a) $x^m$
(b) $x^{(m+n)}$
(c) $x^n$
(d) $x^{(m-n)}$

The area of a triangle with sides 21cm, 20 cm and 13 cm is___ sq cm.

Find the area of given figure $ABCDEFGH$ as per dimensions given in it.

If the figure "ABCD" is a parallelogram. Find the value of x and y?

Ram has a semicircular disc. He rotates it about its diameter by 360 degrees. When he rotates the disc, a volume of air in his room gets swept. What is the name of the object/shape that exactly occupies this volume?

Look at this figure

What can you say about the vertical lines?

If 14 kg of pules cost Rs. 441, what is the cost of 22 kg of pulses :

(a) Rs. 627 (b) Rs. 649

(c) Rs. 671 (d) Rs. 693

If A = $\{5,6,7,8,9\}$, B = $\{x:3<x<8andx\in W\}$ and C= $\{x:x\le 5andx\in N\}$. Find:

(i)$A\cup Band(A\cup B)\cup C$

(ii) $B\cup CandA\cup (B\cup C)$

(iii) $A\cap Band(A\cup B)\cap C$

(iv) $B\cap CandA\cap (B\cap C)$

Is $(A\cup B)\cup$ C = A $\cup (B\cup C)$ ?

Is $(A\cap B)\cap C$ = A $\cap (B\cap C)$ ?

$\frac{x-4}{2}-\frac{x-10}{4}=7$. Solve the equation and verify your answer.

Find the value of x for which the line AB will become parallel to line CD.

Find the number of faces, edges and vertices in a rectangular prism. [2 MARKS]

a/b=5/7 then the value 63a-2b/18b-14a is equal to

^{_{Name the property involved in the following example: 8/5+0=8/5=0+8/5}}

Find the missing number in the figure.

Q29.

आकृति में लुप्त संख्या ‘?’ खोजिए।

Q29.

How many unlike terms does a trinomial have?

If the vertices of a triangle are (-4,0), (4,0) and (0,3), the triangle is a/an _______.

All integers are rational numbers and I know that. But why and how are integers rational numbers?

All integers are rational numbers. Justify the sentence.

Two angles of a polygon are right angles and the remaining are ${120}^o$ each. Find the number of sides in it.

A shopkeeper sells his goods at 80% of its cost price. Find his per cent gain or loss?

$x^2-xz+xy-yz=?\left(a\right)(x-y)(x+z)\left(b\right)(x-y)(x-z)\left(c\right)(x+y)(x-z)\left(d\right)(x-y)(z-x)$

Question 158(iii)

Find a single machine that will do the same job as the given hook-up.
$a(\times 5^{99})$ machine followed by a $\left(5^{-100}\right)$ machine.
Maya multiplied $(4^2\times 3^2)$ by thinking about stretching machines.

Use Maya's idea to multiply $5^3\times 2^3$.
Maya's idea is another product law of exponents.
Multiplying Expressions with the same Exponents
$a^c\times b^c=(a\times b{)}^c$
You can use this law with more than two expressions. If the exponents are the same, multiply the expressions by multiplying the bases and using the same exponent. e.g. $2^8\times 3^8\times 7^8=(2\times 3\times 7{)}^8={42}^8$.

Point of intersection of all the angle bisector in a triangle is known as __________ .

In the given figure, $AB\parallel DC$ and $AD\parallel BC$. If $\angle ABC={75}^{\circ }$, then $\angle CDA$ = ___.

Find the number whose square is the sum of the cube of the first 5 natural numbers.

If $(8a^3+27b^3)=0$

then

$(4a^2+9b^2)=$

A circular park of radius 20 m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone.

If $a-b=5$, and $ab=6$, find the value of $(a^2+b^2)(a^3-b^3)$

In an examination, Kavita scored 120 out of 150 in Maths, 136 out of 200 in English and 108 out of 150 in Science. Find her percentage score in each subject and also on the whole (aggregate).

If $y$ is the reciprocal of rational number $x$, then the reciprocal of $y$ will be ______.

If $32$ men can reap a field in $15$ days, then in how many days can $20$ men reap the same filed ?