List of practice Questions

If $a^x = b^y = c^z$ and $b^2 = ac$, then the value of $y$ is equal to:

In a group of cows and hens, the number of legs is 14 more than twice the number of heads. The number of cows is:

If A and B are the coefficients of $x^n$ in the expansion of $(1 + x)^2n$ and $(1 + x)^2n - 1$, then:

If the system of linear equations: \[ x + 2ay + az = 0 \] \[ x + 3by + bz = 0 \] \[ x + 4cy + cz = 0 \] has a non-zero solution, then $a, b, c$ are:

Symbiosis runs a corporate training programme. At the end of running the first programme its total takings were Rs. 38950. There were more than 45 but leass than 100 particulars. What was the participants fee the programme ?

A man purchased 40 fruits; apples and oranges for rupees 17. Had He purchased as many oranges as apples and as many apples as oranges. He would have paid rupees 15. find the cost of one pair of an Apple and an orange.

Starting from his house one day, a student walks with a speed of 2\(\frac{1}{2}\) kmph And reaches his school 6 minutes late. Next day he increases his speed by 1KMPH and reaches his school six minutes early. How far is the school from the house ?

If the middle term of the $A.P$ is $300$ then the sum of its first $51$ terms is

There are six tickets to the theater, four of which are for seats in the front row. 3 tickets are selected at random. What is the probablity that two of them are for the front row ?

Henry’s law constant for the solubility of N₂ gas in water at 298K is 1.0 × 10⁵ atm. The mole fraction of N₂ in air is 0.8. The number of moles of N₂ from air dissolved in 10 moles of water at 298K and 5 atm pressure is

The average of five consecutive numbers is n. if the next two numbers are also included then the average will-

If five spiders can catch five flies in 5 minutes. How many flies can hundred spiders catch in 100 minutes ?

Milk and water in two vessels A and B are in the ratios 4:3 and 2:3 respectively. In what ratio the liquids in both the plate should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water.

The number of students studying physics chemistry and zoology in a college were in the ratios of 4:3:5 respectively. If the number in these three disciplines increased by 50% 25% and 10% respectively, in the next year, then what was the new respective ratio ?

A rainy day occurs once in every 10 days Half of the rainy days produce rainbows. What percent of all the days do not produce rainbow ?

When 75% of a number is added to 75, the result is same as the number. The number is -

The value of 5^1/4 × (125)^0.25 is ?

When a heap of pebbles are grouped in 32, 40 or 72 it is left with the remainders of 10,18 or 50 respectively. What is the minimum number of pebbles that the heap contains ?

Three friends had a diner at the restaurant. When the bill was recived by amit paid \(\frac{2}{3}\) as much as veena paid and veena paid \(\frac{1}{2}\) as much as tanya paid. What fraction of the bill did veena pay ?

A difference between two numbers is 1365, when larger number is divided by the smaller one, the quotient is 6, and the remainder is 15. What is the smaller number ?

If n = 1+X. Where X is the product of four consecutive positive integers, then which of the following is/are true ?
1.n is odd
2.n is prime
3.n is a perfect square.

How many minutes before 12 noon is it when it is 27 minutes past 10:00 AM ?