List of practice Questions

A man invests certain amount at 6% per annum simple interest and another amount at 7% per annum simple interest. His income from the interest after 2 years was Rs. 348. The ratio of first amount to second is 4:5. Find the total amount invested.

A person has a bag which contains 9 bulbs out of which 2 are fused and cannot be used to lighten the room. Two bulbs are selected at random. What is the probability that all the two bulbs chosen can be used to lighten the room?

As shown in the figure, there is a square of 24 cm. A circle is inscribed inside the square. Inside the circle are four circles of equal radius which are inscribed. The total area of the shaded region in the figure given below is ______ .

Four people clap after every 20 minutes, 30 minutes, 40 minutes and 50 minutes respectively. All of them clapped together at 10.00 am. Then they will again clap together at _______ .

How many words each of two vowels and three consonants can be formed from the letters of the word "UNIVERSAL" ?

If \(\frac 12 \ log\ x+\frac 12\ log\ y+log\ 2=log(x+y)\), then

If \(x=3+2\sqrt 2\) what will be the value of \((x^2+\frac {1}{x^2})\)?

In the figure given below the value of x and y would be ______ .

John's grandfather was five times older to him 5 years ago. He would be two times of his age after 25 years from now. What is the ratio of John's age to that of his grandfather ?

\(log_5 25+log_2 (log_3 81)\) is

Peter was standing on the top of a rock cliff facing the sea. He saw a boat coming towards the shore. As he kept seeing time just flew. Ten minutes less than half of an hour, the angle of depression changed from 30 to 60. How much more time in minutes will the boat take to reach the shore ?

Rs. XYZ was deposited at simple interest at a specific rate for 3 years. Had it been deposited at 2% higher rate, it would have fetched Rs. 360 more. Find Rs. XYZ.

Sonali can solve 70% of the problems in a competitive exam and Nirali can solve only 60% in the same exam. What is the probability that at least one of them will solve a problem, provided selection of questions is done randomly from the same exam ?

The value of \((p-a) (p-b) (p-c) ........... (p-z)\) is ______ .

"So sober sometimes serious Sam smiles on silly things" is a /an _______.

The buzzing of bees is an example of __________

"The strength given by my mother is bigger than the cosmic energy in this cosmos" is ___________

Which of the following compounds is not an antacid?

A direct current of $5\, A$ is superposed on an alternating current $I = 10 \,\sin \omega t$ flowing through the wire. The effective value of the resulting current will be

Match the catalysts to the correct processes :

At a certain temperature, the value of the slope of the plot of osmotic pressure $(\pi)$ against concentration $\left(C\right.$ in $mol\, L ^{-1}$ ) of a certain polymer solution is $291\, R$. The temperature at which osmotic pressure is measured, is $(R$ is gas constant)

Suppose the mass of a single Ag-atom is $m$. Ag metal crystallises in fcc lattice with unit cell of length $a$. The density of $Ag$ metal in terms of $a$ and $m$ is

The cylindrical tube of a spray pump has radius $R$, one end of which has $n$ fine holes, each of radius $r$. If the speed of the liquid in the tube is $V$, the speed of the ejection of the liquid through the holes is

It $\displaystyle \lim_{x \to 0}$$\frac{axe^{x}-b\, \log\left(1+x\right)}{x^{2}}=3$ then the values of $a, b$ are respectively

Instructions: sing the information given below answer the questions:
A chef is trying a recipe for a tasty ice cream using four ingredients. He can choose from three liquids for taste which are labeled A, B and C which are stable in nature and the choice for flavor can be from four liquids which are labeled W, X, Y and Z. For the new ice cream recipe to be tasty, there must be two liquids from the taste giving liquids. Also certain liquids cannot be mixed because of their reactions which makes it unhealthy for human consumption and the same is given below B cannot be mixed with W C cannot be mixed with Y Y cannot be mixed with Z