If (25)^7.5 x (5)^2.5÷(125)^1.5 = 5x then x =?

Half of a large Pizza is cut into 4 equal-sized pieces, and the other half is cut into 6 equal-sized pieces. If a person were to eat 1 of the larger pieces and 2 of the Smaller pieces, what fraction ot the pizza would remain uneaten'?

In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive?

Company A produces toy trucks at a cost of Rs. 50.00 each for the first 100 trucks and Rs. 35.00 for each additional truck. If 500 toy trucks were produced by Company A and sold for Rs. 100.00 each, what was Company A's gross profit?

A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is

Choose the odd one out:

Which of the following options is the correct alphabetical order of the four words given as: 

If 'ORANG' is coded as 'MTYPEG in a certain language, thhen how w CHILLY be coded in that language?

Choose the odd one out from the following:

Which will be the missing pattern in the series? Redraw figure

If MANGO' is coded as 'KCLIM' in a certain language then how will 'SWEETY' be coded in that language?

Which among the following words comes first in a dictionary? 

Which of the following options is the correct alphabetical order of the four words given below?

What will be the Next Pattern in the series?

Complete the series by filling in the missing number 

If $A=\begin{bmatrix}{\cos B} & {-\sin B} \\ {\sin B} & {\cos B}\end{bmatrix}$ then $A+{A}^T=I$ for B equal to 

The number of 7-digit numbers whose sum of the digits equals to 10 and which is formed by using the digits 1, 2, and 3 only is:

If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black balls will be drawn is:

Let $f(x)=\, \vert{|x|}-1\vert$, then point(s) where $f(x)$ is not differentiable is (are):

Letf $f:[2,\infty)\rightarrow R$ be the function defined by $f(x)=x^2-4x+5$, then the range of $f$

The function $f(x)= \frac{[ln(1+ax)-ln(1-b x)]}{x}$ is not defined at $x=0$. What value may be assigned to $f$ at $x=0$, so that it is continuous?

The are enclosed between the graphs of $y=x^3$ and the lines $x=0$, $y=1$, $y=8$ is:

If the vertices of a triangle are O(0,0), A(a,0) and B(0,a). Then, the distance between its circumcenter and orthocenter is:

The straight lines x+y-4=0, 3x+y-4=0 and x+3y-4=0 form a triangle which is:

If one of the lines of $ax^2+2hxy+by^2=0$ bisects the angle between the axes in the first quadrant, the

What is the value of :

If $A+B=45{^{\circ}}$, then $(1+tanA)(1+tanB)$ is equal to:

If $\vec{a}$ and $\vec{b}$ are two unit vectors such that $\vec{a}+2\vec{b}$ and $5\vec{a}-4\vec{b}$ are perpendicular to each other, then the angle between $\vec{a}$ and $\vec{b}$ is:

Let $\vec{a}=\hat{i}-\hat{j}$ and $\vec{b}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{c}$ be a vector such that $(\vec{a} \times \vec{c})+\vec{b}=0$ and $\vec{a}.\vec{c}=4$, then $|\vec{c}|^2$ is equal to 

If $\vec{a}$, $\vec{b}$, $\vec{c}$ and $\vec{d}$ are the unit vectors such that $(\vec{a} \times \vec{b}).(\vec{c} \times \vec{d})=1$ and $(\vec{a}.\vec{c})=\frac{1}{2}$, then 

Let A ={1,2,3} and consider the relation R= {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} then R is:

A spring is being moved up and down. An object is attached to the end of the spring that undergoes a vertical displacement. The displacement is given by the equation $y = 3.50 sint + 1.20 sin2t$. Find the first two values of t (in seconds) for which y =0.

A ball is thrown off the edge of a building at an angle of 60° and with an initial velocity of 5 meters per second. The equation that represents the horizontal distance of the ball x is $x={{\nu}}_0(\cos \theta)t$, where ${{\nu}}_0$ is the initial velocity. $\theta$ is the angle at which it is thrown and $t$ is the time in seconds. About how far will the ball travel in 10 seconds?

Let $n$ be a positive integer and $R=\{(a,b) \in Z\times Z\, |\, a-b\, =nm\, for\, \, some\, \, m\ne0\in Z\}$ 

The a, b, c and d are in GP and are in ascending order such that a+d = 112 and b+c 48. If the GP is continued with a as the first term, then the sum of the first six terms is:

Given below are two statements: 

Given the following truth table:

If $\vec{a}$, $\vec{b}$ and $\vec{c}$ are unit vectors, then $|\vec{a}-\vec{b}|^2+|\vec{b}-\vec{c}|^2+|\vec{c}-\vec{a}|^2 $ does not exceed

The product of two four bit positive binary numbers 1011 and 0011 is

If $\vec{a}=\hat{i}+\hat{j}+\hat{k}$, $\vec{a}.\vec{b}=1$ and $\vec{a} \times \vec{b}=\hat{j}-\hat{k}$, then $\vec{b}$ is equal to 

Consider the diagram given below and the following two statements:

The simplified form of the Boolean Expression AB+AB' is ______

Representation of -11 in sign and magnitude is : 

1001 is 2's complement representation of _______

Match List I with List II : Choose the correct answer from the options given below:

choose the correct answer from the options given below:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R 

Given below are two statements: 

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. 

Consider the diagram given below and the following two statements: 

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. 

Which of the following storage hardwares can be used as a back-up device?Choose the correct answer from the options given below:

In a class there are 400 students, the following table shows the number of students studying one or more of the subjects:A. The number of students who study only Mathematics is 100. Choose the correct answer from the options given below:

The arithmetic means of two observations is 125 and their geometric mean is 60. Find the harmonic mean of the two observations.

The arithmetic mean and standard deviation of series of 20 items were calculated by a student as 20 cm and 5 cm respectively. But while calculating them an item 15 was misread as 30. Find the correct standard deviation.

In a processor, while executing an instruction 

Given the marks of 25 students in the class as $\{m_1,m_2,m_3,..m_{25}\}$. Marks lie in the range of [1-100] and $\overline{m}$ is the mean. Which of the following quantity has the value zero?

India has been continuously experiencing military threats from its neighbouring countries. 

A + B means A is daughter of B 

The terms $1,\, \log _y(x),\, \log _z(y)\, and\, 15\log _x(z)$ are in AP.

The terms $1,\, \log _y(x),\, \log _z(y)\, and\, 15\log _x(z)$ are in AP.

From among the four options given, choose the correct sequence of the four phrases given below, to make a meaningful sentence : 

The terms $1,\, \log _y(x),\, \log _z(y)\, and\, 15\log _x(z)$ are in AP.

Which of the following is a one-word substitute for 'the quality of having a ready insight into things'?

Consider n events ${{E}}_1,{{E}}_2\ldots{{E}}_n$ with respective probabilities ${{p}}_1,{{p}}_2\ldots{{p}}_n$. If $P\Bigg{(}{{E}}_1,{{E}}_2\ldots{{E}}_n\Bigg{)}=\prod ^n_{i=1}{{p}}_i$, then

Identify the correct indirect narration for the following sentence: 

Given a set of events ${{E}}_1,{{E}}_2\ldots{{E}}_n$ defined on the sample space S such that :

Pick the plural form of 'matrix'.

Given the following statement and five possible conclusions.

Which of the following options will be the correct choice for the blank? 

Ministers arrived at the public function in their cars. Consider the following statements. 

Match List I with List II :

The simplified form of Boolean expression:

From among the four options given, choose the one which is a grammatically correct sentence.

4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

From among the four options given, choose the one in which the word has been spelled correctly.

4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

Choose the correct option to make a meaningful sentence. 

4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

Choose the correct preposition to complete the following sentence.

Math List I with List II Choose the correct answer from the options given below 

Reversing Roe is a documentary film centered on:

Math List I with List II Choose the correct answer from the options given below 

Match List I with List II

Given three identical boxes B₁ B₂ and B₃ each containing two balls. B₁ containstwo golden balls. B₂ contains two silver balls and B₃ contains one silver and onegolden ball. Conditional probabilities that the golden ball is drawn from B₁, B₂, B₃are ____,______,______ respectively

Match List I with List II:

Math List I with List II:Choose the correct answer from the options given below :

Match List I with List II:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. 

Which company manufactured the Ambassador car?

Math List I with List II : $\omega \ne1$ is a cube root of unity. Choose the correct answer from the options given below:

Pointing towards a boy, a girl said, "He is the son of the daughter of the father of my uncle. "How is the boy related to the girl?

Math List I with List II : $\omega \ne1$ is a cube root of unity. Choose the correct answer from the options given below:

If A+B means A is the mother of B; A - B means A is the brother of B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?

If Z = 52 and ACT = 48, then RAT will be equal to -

If 2 cats catch 2 mice in 2 minutes, how many cats are needed to catch 18 mice in 18 minutes?