List of practice Questions

Stuart, Jack and Leo are colleagues working in a plant. Stuart and Jack can do a work in 10 days, Jack and Leo can do the same work in 15 days while Stuart and Leo can do it in 12 days. All of them started the work together. After two days, Leo was shifted to some other work. How many days will Stuart and Jack take to finish the rest of the work?

Salary of A and B is in the ratio 3 : 4 and expenditure is in the ratio 4 : 5. What is the ratio of their savings?
(I) B's saving is 25% of his salary.
(II) B's salary is Rs. 2500.

A bakery opened with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 60% of the remaining rolls were sold between noon and closing time. How many dozen rolls were left unsold?

The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?

In September 2009, the sales of a product were \((\frac 23)\)^rd of that in July 2009. In November 2009, the sales of the product were higher by 5% as compared to September 2009. How much is the percentage of increase in sales in November 2009 with respect to the base figure in July 2009?

Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?

The sum of prime numbers that are greater than 60, but less than 70 is :

The missing numbers in the below series would be
1 : 1, 8 : 4, 9 : 27, 64 : 16, 25 : 125, ? : ?, 49 : 343

Which of the following numbers will completely divide (461 + 462 + 463 + 464)?

Is 'b' positive?

1. a + b is positive.
2. a - b is positive.

In a general body election, 3 candidates, P, Q and R were contesting for a membership of the board.
How many votes did each receive?
(I) p received 17 votes more than q and 103 votes more than r.
(II) Total votes cast were 1703.

What is the middle number of 7 consecutive whole numbers?
(I) Product of number is 702800.
(II) Sum of the number is 105.

What is the number that is one half of one-quarter of one-tenth of 400?

R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q?

If the length, breadth and height of the room are in the ratio 3:2:1. The breadth and height of the room are halved and length of the room is doubled. Then area of the four walls of the room will,

For the reaction, $2 A(g)+B_{2}(g) \rightleftharpoons 2 A B_{2}(g)$ the equilibrium constant, $K_{p}$ at $300\, K$ is $16.0$. The value of $K_{p}$ for $A B_{2}(g) \rightleftharpoons A(g)+1 / 2 B_{2}(g)$ is

For which one of the following reactions will there be a positive $\Delta S$ ?

Which of the following is a Gattermann aldehyde synthesis?

A proton of mass $ 1.67 \times 10^{-27}\, kg$ enters a uniform magnetic field $1\, T$ of at point A shown in figure with a speed of $10^7\, ms^{-1}$ The magnetic field is directed normal to the plane of paper downwards. The proton emerges out of the magnetic field at point $C$, then the distance $AC$ and the value of angle $\theta $ will respectively be

Most crystals show good cleavage because their atoms, ions or molecules are

Enthalpy of a compound is equal to its

Which of the following converts $CH_3CONH_2$ to $CH_3NH_2$ ?

Frenkel defect is generally observed in

Nitrobenzene can be converted into azobenzene by reduction with

On treatment of propanone with dilute $Ba(OH)_2$, the product formed is