Explore topic-wise InterviewSolutions in Current Affairs.

In the given figure $\angle ABP=\angle ACQ,\angle BAC={68}^{\circ }$. Find the measure of $\angle ABC$.

Simple interest on the certain sum at the rate of $10\%$ per annum for 6 years and 7 years differs by Rs.650. Find the sum.

Question 2
Construct the Quadrilateral JUMP where

JU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm

Question 1 (x)
What will be the unit digit of the squares of the following number:
55555

If all angles of a parallelogram are 90^o, then it can either be a _________ or a ____________.

If A = {x: x is a natural number}

B = {x: x is an even natural number}

C = {x: x is a prime number}

Then (A $\cup$ B) $\cap$ C =

Simplify and express as positive indices

(125^-3/y^6)^-1/3

A certain sum of money is borrowed at C.I. for 3 years at 5% p.a. The interest for the third year is greater than that of second year by Rs 26.25.Find the sum of money.

Question 109(i)
Verify the property $x\times (y\times z)=(x\times y)\times z$ of rational numbers by using
$x=1,y=\frac{-1}{2}$ and $z=\frac{1}{4}$
and what is the name of this property?

Construct a quadrilateral XYZW in which XY =5cm, YZ=6 cm, ZM=7 cm, WX=3 cm, and XZ=9 cm,

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

(a) $\frac{7}{3}$

(b) $\frac{-7}{3}$

(c) $\frac{3}{7}$

(d) none of these

Factorise:
$x^2+8x+16$

Observe the tables given below and in each one find whether x and y are proportional :

(i) $\begin{array}{cccccc}x& 3& 5& 8& 11& 26\\ y& 9& 15& 24& 33& 78\end{array}$

(ii) $\begin{array}{cccccc}x& 2.5& 4& 7.5& 10& 14\\ y& 10& 16& 30& 40& 42\end{array}$

(iii) $\begin{array}{ccccccc}x& 5& 7& 9& 15& 18& 25\\ y& 15& 21& 27& 60& 72& 75\end{array}$

Factorize each of the following expressions :

$ab-a-b+1$

Name each of the following parallelograms :

(i) The diagonals are equal and the adjacent sides are unequal.

(ii) The diagonals are equal and the adjacent sides are equal.

(iii) The diagonals are unequal and the adjacent sides are equal.

(iv) All the sides are equal and one angle is ${60}^{\circ }$

(v) All the sides are equal and one angle is ${90}^{\circ }$

(vi) All the angles are equal and the adjacent sides are unequal.

Question 115(iii)

Express the following in standard form:
Mass of a molecule fo hydrogen gas is about $0.00000000000000000000334$ tonnes.

Question 20

Write the correct answer from the given four options.

If m is the square of a natural number n, then n is

a) The square of m
b) Greater than m
c) Equal to m
d) $\sqrt{m}$

1. 3

The numerator of a fraction is 5 less than its denominator. If 3 is added to the numerator, and denominator both, the fraction becomes $\frac{2}{3}$. Find the original fraction.

Make adjustment entries for the following in the books of A on 31st-March,2012 :

(i) Closing Stock Rs 50,000.

(ii) Outstanding wages Rs 2,000 and Outstanding salaries Rs 3,000.

(iii) Interest on Capital ₹ 4,800, and Interest on Drawings Rs 1,200.

In the figure AD = EC, which additional information is needed to show that $△ABD$ and $△EBC$ will be congruent by A - A - S test?

The smallest number by which 1080 should be divided to make it a perfect cube is

If 5x6 is exactly divisible by 3, then the least value of x is

(a) 0

(b) 1

(c) 2

(d) 3

If the selling price of 18 oranges is equal to the cost price of 16 oranges, find the loss percent.

Find $x:4x+10=20$ [2 MARKS]

$\begin{array}{cccccc}\text{Quantity(In Kg)/Price}& 1& 2& 3& 4& 5\\ \text{Gummy bear}& 20& 40& 60& 80& 100\\ \text{Candies}& 30& 60& 90& 120& 150\\ \text{Chocolates}& 50& 100& 150& 200& 250\end{array}$

According to the information given what is the total price of 6 kg of all the items?

Check whether -150 is a term of the AP: 11,8,5,2…

Question 49

Compound interest is the interest calculated on the previous year's amount.

The following pie chart gives the marks obtained by a student in different subjects - English, Hindi, Mathematics, Science and Social Science in a test.
If the total marks obtained in the test are 540, then the marks scored in Social Science exceeds the marks scored in English by __ marks.

Use the short cut method to find $(97{)}^2$.

What is the remainder when $3x^2-7x+5$ is divided by x -1?

What do we understand by the term statistics?

Ratio is a method of comparison of similar quantities by using ___ .

The sum of the ages of Anup and his father is 100 . Anup is as old as his father now , he will be 5 times as old as his son Anuj is now . Anuj will be 8 years older than Anup is now , when Anup is as old as his father . What are their ages now ?

I think in this line , "Anuj will be 8 years older than Anup is now . " In place of Anup it should be Anuj and vice versa .

If it's correct please answer the question .

Evaluate the following: a) (2/3)^2*(2/3)^-3*(3/5)^2. b) (1/a+1/b)^n. c) (√4)^-7*(√2)^2

Which of the following is/are in inverse proportion?

Question 5(iii)
Show that:
${(\frac{4}{3}m-\frac{3}{4}n)}^2+2mn=\frac{16}{9}{m}^2+\frac{9}{16}{n}^2$

Find the cost of painting a tank of dimension $3m\times 2m\times 1.5m$ at ₹20 per square metre .

On Monday the value of a company shares was ₹7.50. The price increased by 6% on Tuesday, decreased by 1.5% on Wednesday, and decreased by 2% on Thursday. Find the value of each share when trade opened on Friday

If the number of boys and girls in a class are in ratio 7:9 and there are 14 girls more than boys then find the number of girls in the class.

Find the value of x such that $\frac{-11}{x}$ is not a rational number.