Explore topic-wise InterviewSolutions in Current Affairs.

Question 1 (i)
Find ${64}^{\frac{1}{2}}$ .

Rahul wants to mark five points on a sheet of paper. What is the maximum number of points that can be collinear, if he wants to make a triangle by joining those points?

To construct a parallelogram given its length of diagonals, which of the following additional information is required?

Factories :

$\left(i\right)(a-3b{)}^2-36b^2(ii\left)25\right(a-5b{)}^2-4(a-3b{)}^2(iii)a^2-0.36b^2(iv)a^4-625(v)x^4-5x^2-36(vi\left)15\right(2x-y{)}^2-16(2x-y)-15$

If 24 kg of rice costs Rs. 400, then how many Kgs of rice can be bought for Rs. 100

$(1000\times a)+(100\times c)+(10\times d)+b\text{can also be written as:}$

The above graph shows the distribution of TV viewership for Zen TV channels in year 2012-13. Find the % distribution for entertainment.

Shane has to fill a water tank in 3 hour 40 minutes and he used 7 pipes for that. How many pipes should he use to fill the tank in 1 hour 21 minutes? ( approx to nearest whole number)

Simplify: $\left(\frac{1}{6^{(-2)}}-\frac{1}{3^{(-3)}}\right)÷\frac{1}{5^{(-2)}}$

Each side of a rectangle is doubled. Find the ratio between :

(i) perimeters of the original rectangle and the resulting rectangle.

(ii) areas of the original rectangle and the resulting rectangle.

Which one among the given options is an irreducible factor of 5xy(x + 6)?

In a hexagon ABCDEF, side AB is parallel to side FE and $\angle B:\angle C:\angle D:\angle E=6:4:2:3$. Find $\angle Band\angle D$.

In the given figure, ABCD is a quadrilateral and $\angle ADC=a^{\circ },\angle BCD=b^{\circ }.$ AO and BO are bisectors of $\angle DAB$ and $\angle ABC$ respectively meeting at O. Find $\angle AOB$ in terms of $a^{\circ }$ and $b^{\circ }$.

Find the digit in the tens place in a number which is expressed as 700 + 60 + 3.

Question 3 (ii)
Simplify:

${\left(\frac{1}{3^3}\right)}^7$

The Balance Sheet of A, B and C who were sharing profits in proportion to their capitals stood as follows as at 31st March, 2012 :

$\begin{array}{cccccc}\text{Capital and Liabilities}& & \text{Rs}& \text{Assets}& & \text{Rs}\\ \text{Sundry Creditors}& & 6,900& \text{Cash at Bank}& & 5,500\\ \text{Investments Fluctuation Reserve}& & 7,500& \text{Sundry Debtors}& 5,000& \\ \text{Capital Accounts :}& & & \text{Less : Provision}& \underset{–}{\left(100\right)}& 4,900\\ \text{A}& 18,000& & \text{Stock}& & 8,000\\ \text{B}& 13,500& & \text{Investments}& & 11,500\\ \text{C}& \underset{–}{9,000}& \underset{–}{40,500}& \text{Land and Building}& & 25,000\\ & & \underset{–}{\underset{–}{54,900}}& & & \overline{\underset{–}{\underset{–}{54,900}}}\end{array}$

B retired on 1st April, 2012 and the following was agreed upon :

(i) That stock be depreciated by 6%.

(ii) That the Provision for Doubtful Debts be brought up to 5% on Debtors.

(iii) That Land and Buildings be appreciatd by 20%.

(iv) That a provision of Rs 770 be made in respect of outstanding legal charges.

(v) Investments are brought down to Rs 8,500.

(vi) That the Goodwill of the entire firm be fixed at Rs 10,800 and B's share of goodwill be adjusted into the accounts of A and C who are going to share future profits in the ratio of 5 : 3.

(vii) That the entire capital of the firm as newly constituted be fixed at Rs 28,000 between A and C in the proportion of 5 : 3 (actual cash to be brought in or paid off, as the case may be).

Pass Journal entries and show the Balance Sheet after transferring B's share to a separate Account in his name.

Factorise : $2x^2+xy-6y^2$

How many number of moles of photon would contain sufficient energy to raise the temperature of 225 g of water from ${21}^{o}C$ to ${96}^{o}C$?
The specific heat of water is 4.18 $J{g}^{-1}{K}^{-1}$ and the frequency of light radiation used is $2.45\times {10}^9{s}^{-1}$.
[Given: Energy required to raise the temperature = mass x specific heat x ΔT]

Which of these is not a perfect cube?

A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmounted on it. If the common radius is 7 m and height of the cone is 1 m, what is the area of cloth required?

Which of the following statements is incorrect?

The value of 21² is?

Question 35

$4.7÷10=$___

Arrange the numbers in ascending order (Starting from the top)

Subtract the sum of $3l-4m-7n^{2}and2l+3m-4n^2\text{from the sum of}9l+2m-3n^{2}and-3l+m+4n^2........$

During every financial year, the value of a machine depreciates by 12%. Find the original cost of a machine which depreciates by Rs. 2,640 during the second financial year of its purchase.

Question 69

Sobi types 108 words in 6 minutes. How many words would she type in half an hour?

A class has 60 girls. The ratio of number of boys to that of girls is 3:2. What is the percentage of boys in the class?

The length of a rectangle is 12cm and its breadth is 8 cm. If the length is increased by 3 cm, then the increase in area is equal to

The probability that it will rain tommmorow is 0.85. What is the probability that it will not rain tommorow ?

Consider the marks obtained by 18 students (out of 100 marks) in a science quiz

30 40 50 35 55 60 40 30 60

75 60 30 40 60 55 35 50 40

What is the frequency of the least marks obtained in the class?

when a two digit number is divided by the sum of its dig its ,the quotient is 8.on diminishing the tens's digit by three times the units digit the remainder obtained is 1 find the number

Using the formula $(a+b{)}^2=(a^2+2ab+b^2$, evaluate:
(i) $(310{)}^2$
(ii) $(508{)}^2$
(iii) $(630{)}^2$

Factorise by grouping method:

$a^3+a-3a^2-3$

Evaluate the exponential expression $x^5$ × $x^4,forx=2$.

From the following particulars, prepare a bank reconciliation statement as at March 31, 2010.

(i) Balance as per cash book, Rs. 3,200.

(ii) Cheque issued but not presented for payment, Rs. 1,800.

(iii) Cheque deposited but not collected up to March 31, 2010, Rs. 2,000.

(iv) Bank charges debited by the bank, Rs. 150.

The radius of a circular wheel is 42 cm. Find the distance travelled by it in:

i) 50 revolution

iii) 200 revolution

A number is such that, it is as much greater than 65 as it is less than 91. Find the number.

You have a metal wire of length 1000 m, radius of 0.7 mm and resistivity of the metal is given as $153.86\times {10}^{-6}\Omega$-m. Find the resistance of the wire.

At a cricket test match 2/7of the spectators were in a covered place and 15000 were in the open. Find the total number of spectators .

The perimeter of a triangle, the sum of the products of the lengths of the sides taken two at a time and the product of the sides are denoted by p, q and r respectively. What is the maximum value of (r/pq)?

A)A suitcase with measure 40cm×24cm×12cm is to be covered with a tarpaulin of width 48cm is required to cover such 10 suitcases?

A bag contains 2 red balls, 4 blue balls and 8 green balls. Fatima draws 2 balls out of the bag. What is the probability that she gets a green ball and a blue ball?

In an examination 1/3 of the total students used unfair means and out of which 1/4 caught red handed while cheating. If 5 students caught red handed then find the total number of students appeared in the exam.

The product of (l + m) and (l - m) can be written as ______ .

Rahul can paint the house in 7 days and Mahesh can do it in 9 days. How long will they take, if both Rahul and Mahesh work together?