Explore topic-wise InterviewSolutions in Current Affairs.

If $(2{)}^{m+1}\times 2^5=4^{-2}$ the value of $m$ is

Prime factorisation of 65 upto two decimal places.

Thankyou.

What is the square root of 169?

What is the relation between litre and the C.G.S. and the S.I. units of volume?

Evaluate :

(i) ${37}^2-{36}^2$ (ii) ${85}^2-{84}^2$

(iii) ${101}^2-{100}^2$

How many natural numbers are present in between the 7th and the 8th perfect square number?

$\text{The following table gives the number of different fruits kept in a hamper.}$

$\begin{array}{cccccc}\text{Type of fruit}& \text{Mangoes}& \text{Apples}& \text{Oranges}& \text{Coconuts}& \text{Pomegranates}\\ \text{Number}& 26& 30& 21& 5& 8\end{array}$

$\text{Represent the above data by a pie chart.}$

Question 84

State whether the following statement is true or false:

$\sqrt[3]{38+27}=\sqrt[3]{38}+\sqrt[3]{327}$

Question 86 (viii)

Using suitable identities, evaluate the following:

$52\times 53$

The ages of Rahul and Laxmi are in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present ages

A car takes 2 hours to reach a destination by travelling at 60 km / hr. How long will it take while travelling at 80 km / hr ?

(a) 1 hr 30 min (b) 1 hr 40 min

(c) 2 hrs 40 min (d) none of these

Nine persons went to a hotel for taking their meals. Eight of them spent $Rs.12$ each over their meals and the ninth spent $Rs.8$ more than the average expenditure of all the nine. What was the total money spent by them?

If the diagonals of a rhombus are 24 cm and 10 cm, then its perimeter =____cm.

Evaluate :

$\left(i\right)(3^{-1}\times 9^{-1})÷3^{-2}\left(ii\right)(3^{-1}\times 4^{-1})÷6^{-1}\left(iii\right)(2^{-1}+3^{-1}{)}^3(iv\left)\right(3^{-1}÷4^{-1}{)}^2\left(v\right)(2^2+3^2)\times {\left(\frac{1}{2}\right)}^2\left(vi\right)(5^2-3^2)\times {\left(\frac{2}{3}\right)}^{-3}\left(vii\right)[{\left(\frac{1}{4}\right)}^{-3}-{\left(\frac{1}{3}\right)}^{-3}]÷{\left(\frac{1}{6}\right)}^{-3}\left(viii\right){\left[{(-\frac{3}{4})}^{-2}\right]}^2\left(ix\right){\left\{{\left(\frac{3}{5}\right)}^{-2}\right\}}^{-2}\left(x\right)(5^{-1}\times 3^{-1})÷6^{-1}$

The ratio between the exterior angle and the interior angle of a regular polygon is 1:5, then it has___ sides.

The dimensions of a rectangular water tank are 2 m 75 cm by 1 m 80 cm by 1 in 40 cm. How many litres of water does it hold when filled to the brim?

Draw appropriate graph to depict the runs scored by the Indian team. [2 MARKS]

$\begin{array}{cc}Players& Score\\ \text{Rahul}& 90\\ \text{Sachin}& 99\\ \text{Saurav}& 56\\ \text{Sehwag}& 30\\ \text{Gambhir}& 30\\ \text{Yuvraj}& 48\\ \text{Kohli}& 82\\ \text{Zaheer}& 0\\ \text{Nehra}& 1\\ \text{Mishra}& 19\end{array}$

Find the greatest number of six digits which is a perfect square.

For the cuboid below,

Lateral Surface Area(LSA) =
Total Surface Area(TSA) = .

If x% of 15 is equal to y% of 20 is equal to 44% of 15,then the value of y+x is

Question 51

Solve the following:

$\frac{2x-3}{4x+5}=\frac{1}{3}$

A sum of money becomes $3$ times in $12$ years . In how many years will it become $5$ times at the same rate of simple interest?

18 men can complete a piece of work in 6 hours, while 30 women can complete the same work in 8 hours. 9 men start working on the job and after working for 3 hours, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 6 hours?

One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number and add the resulting number to the original number you get 88.what is the original number?

Which of the following is not a rational number?

The number of cubes with 2 digits is ______ .

Square root of 22500 is:

If four sides of a quadrilateral are of length 4 cms, 5 cms, 4.9 cms and 5.3 cms and one of its diagonal is equal to one of its sides, then the length of that diagonal is

Preeti is trying to draw a line parallel to $PQ$ through a point $R$ (not on $PQ$). How many arcs does she need to draw and how many times does she need to change the distance between the compass tip and the pencil tip respectively?

Which of the following pair of terms can be categorized as pair of like terms?

If a+b+c = 10 and $a^2+b^2+c^2=38;findab+bc+ca$

A jar full of spirit contains 40% alcohol. A part of this spirit is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The fraction of spirit replaced is:

Manish borrowed Rs 62500 from his friend at the rate of 8% per annum compounded annually. After some time, he repaid Rs 72900 to his friend. For how many years did Manish borrow the money?

The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.

Common factor of the first two terms in the expression $x^{2}y+2xy+6y+9$ is _____ .

A number is increased by $10\%$ and then decreased by $10\%$. What is the effective increase or decrease in the original number?

A bucket contains 10 brown balls, 8 green balls, and 12 red balls and you pick one without looking. What is the probability that the ball will be brown?

4500 J = ___ cal

If dividing the 3 digit number "3BA" by 10 gives 34, the values of B and A are

There is a 2-D plane filled with 3 digit, 2 digit and single digit numbers. A, B and C are 3 digit numbers. The digit at the hundreds place is the head and the digit at units place is tail of the number. There are no mirrors in this plane. So, no number can see its own tail. A, B and C are good friends. Since, A can see B's and C's tail, it tells them that they both are divisible by 4. B and C tell A that it is divisible by 2. One day a 3D Mathematician comes and adds A, B and C to form a 4 digit number. This new number (A + B + C), must be divisible by:

A wrist-watch is available at a discount of 9%. If the list-price of the watch is Rs.1,400. Find the discount given and the selling price of the watch.

$A$ and $B$ can do a piece of work in $6$ days and $4$ days respectively. ${}^{\prime }{A}^{\prime }$ started the work; worked at it for $2$ days and then was joined by $B$. Find the total time taken to complete the work.

A lady shopkeeper allows her customers $10\%$ discount on the marked price of the goods and still gets a profit of $25\%$. What is the cost price of a fan for her marked at Rs. 1250?