Explore topic-wise InterviewSolutions in Current Affairs.

Evaluate the below expression using identities:
$(0.4p-0.5q{)}^2$

People on a tour divided the total expense of ₹ 9800 equally. Each one's share was ₹ 980. How many people were there?

Choose the box that is similar to the box formed from the given sheet of paper (X)

Ram's age is 5 more than the Reema's age. If Reema's age is 6, then find Ram's age.

A set of non-negative numbers that start from 1 and continue infinitely are known as __.

Find the value of x which satisfies 5x – 3 < 7, where x is a natural number.

If a chord subtends 120${}^{\circ }$ at the center of the circle. What can be said about the largest triangle inscribed in a circle by taking chord as the base?

The central angle for strawberry is:

The different timings at which Sachin comes to the office on different days of the week is 1pm, 3pm, 8am, 4am, 7am, 12pm, 5pm. Find the probability that Sachin comes on a particular day before 10am.

The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.

X, Y and Z were partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2. On 31.3.2010 their Balance Sheet was as follows :

$\begin{array}{ccccc}\text{Capital and Liabilities}& & \text{Amount}& \text{Assets}& \text{Amount}\\ & & \text{Rs}& & \text{Rs}\\ \text{Capital Accounts :}& & & \text{Building}& 50,000\\ \text{X}& 75,000& & \text{Patents}& 15,000\\ \text{Y}& 62,500& & \text{Machinery}& 75,000\\ \text{Z}& \underset{–}{37,500}& 1,75,000& \text{Stock}& 37,500\\ \text{Sundry Creditors}& & 42,500& \text{Debtors}& 20,000\\ & & & \text{Cash at Bank}& 20,000\\ & & \overline{\underset{–}{\underset{–}{2,17,500}}}& & \overline{\underset{–}{\underset{–}{2,17,500}}}\end{array}$

Z died on 31.7.2010. It was agreed that :

(a) Goodwill be valued at $2\frac{1}{2}$ year's purchase of the average profits of the last four years, which were as follows :

Years Profits

Rs

2006 - 2007 32,500

2007 - 2008 30,000

2008 - 2009 40,000

2009 - 2010 37,500

(b) Machinery be valued at Rs 70,000; Patents at Rs 20,000 and Building at Rs 62,500.

(c) For the purpose of calculating Z's share of profits in the year of his death the profits in 2010-2011 should be taken to have been accrued on the same scale as in 2009 - 2010.

Give necessary journal entries to record the above transactions and Z's capital account till the date of death.

Note : The firm closes its accounts on 31st March every year.

Factorisation of $-x^{2}y-x+3xy+3$ gives

An overdraft facility of up to 2500 rupees, which would further be enhanced by the bank to 5000 rupees over time was provided in Prime Minister launched Pradhan Mantri Jan Dhan Yojana. Consider the following statements regarding Overdraft:

1) An overdraft is an advance given by allowing a customer to overdraw his saving account upto an agreed limit.

2) The security for overdrafts is usually financial assets of the account holder such as shares, debentures, life insurance policies etc.

3) Overdraft is a temporary facility and the rate of interest charged on the amount of credit used is higher than that on cash credit.

Which of the above statement(s) is/ are incorrect?

Question 178(ii)

If a = -1, b = 2, then find the value of the following.
$a^b-b^a$

If a polygon has ‘n’ sides, it will have :

Find the percentage of pure gold in 22-carat gold, if 24-carat gold is 100$\%$ pure.

Tanu liked the way Ramses explained her about the link between algebraic expressions and the stars. She now wanted to make some patterns using some sticks. She intends to make 8 "T” patterns. How many sticks are required for this?

A bag has 6 red balls and 8 green balls. A ball is drawn from a bag without looking into the bag. What is the probability of getting a green ball?

In the given figure, regular pentagons are drawn on each side of an equilateral triangle. The measure each angle between the pentagons is

If the interior angles of a pentagon are (3x + 4)°, (x + 20)°, (3x - 5)°, (2x + 10)° and (4x - 9)°, then x is equal to

The following histogram shows the number of CD's sold in 2008 to 2014. 1 unit = 10,500 CD's.

Find the number of CD's sold during the period 2008 - 2012.

Question 87(v)

Classify the following statements under appropriate headings.
Sun rising from the West. ?

$\begin{array}{ccc}\text{Certain to happen}& \text{Impossible to happen}& \text{May or may not happen}\\ & & \\ & & \end{array}$

Find A in the addition, given that B is a natural number.

$$\begin{array}{c}A\\ +A\\ +A\\ BA\end{array}$$

Question 8

Ashima took a loan of Rs 100000 at 12% per annum compounded half-yearly. She paid Rs 112360. If $(1.06{)}^2$ is equal to 1.1236, then the period for which she took the Loan is
(a) 2 yr
(b) 1 yr
(c) 6 months
(d)$1\frac{1}{2}yr$

Which of the following pairs of equations is not dependent?

Find the smallest number by which 27783 must be multiplied to get a perfect cube

Find the cube of $x+\frac{1}{x}$

Find the value of $m$ if $(-10{)}^{m+1}\times (-10{)}^5=(-10{)}^7.$

A big iron boiler tank which is open on the top is cylindrical in shape. Its height is 10 m and radius is 7 m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take pi=$\frac{22}{7}$)

An angle is 14${}^{\circ }$ more than its complement. Find the angle.

Which of the following geometric apparatus is used to make two line segments meet when their lengths and one point in each line segment is known?

The area of a trapezium is 180 $c{m}^2$ and its height is 9 cm. If one the parallel sides is longer than the other by 6 cm, the length of the longer of the parallel sides is
(a) 17 cm (b) 23 cm
(c) 18 cm (d) 24 cm

Following is the Receipts and Payments Account of M.B. Club and from the given information, show how the item will be shown in Income and Expenditure Account and in Balance Sheet.

RECEIPTS AND PAYMENTS ACCOUNT
Dr. for the year ending 31st March, 2018 Cr.
$\begin{array}{cccccc}\text{Receipts}& \text{Amount}& \text{Payments}& & & \text{Amouont}\\ & \text{(Rs)}& & & & \text{(Rs)}\\ & & \text{By Salaries}& & & \\ & & & 2016-17& 30,000& \\ & & & 2017-18& 3,00,000& \\ & & & 2018-19& 18,000& 3,48,000\end{array}$

Additional Information :

(i) Salaries outstanding on 31st March, 2017 Rs 35,000.

(ii) Salaries for the year to be paid Rs 3,45,000.

(iii) Salaries paid in advance on 1-04-2017 Rs 10,000.

Question 93

Solve the following:

Express ${16}^{-2}$ as a power with the base 2.

The sum of all internal angles of a pentagon is.

An urn contains 10 red and 8 white balls. One ball is drawn at random. Find the probability that the ball drawin is white.

If $\frac{x}{pq}+\frac{x}{qr}+\frac{x}{pr}=p+q+r$, then find the value of$x$.

Evaluate
${\left(53\right)}^{-2}\times {\left(53\right)}^{-14}$

Which mathematical operator would make the irrational numbers, $\sqrt{5}+\sqrt{6}$ and $\sqrt{6}-\sqrt{5}$, rational?

What is the unit digit of the number $5^{25}$ × $6^{36}$?

Factorise :

$(ax+by{)}^2+(bx-ay{)}^2$

Find give rational numbers between- 3/5 and2/3

The value of $\sqrt{(-1)}.\sqrt{(-1)}$ is: