Mock Test 3 – Class VIII

The number 64 is divided into 2 parts in the raito 3:5. Find the difference between 2 parts.

\((625y^4-16) \div (5y-2) \)

The unit digit in the product of the numbers \(19\times27\times11\times45\times33\times49 \) is

Find the value of n such that (n-1) is a factor of (3n-6).

A group of workers are given 180 packets of biscuits and 120 packets of mixture for breakfast and are asked to share equally. The maximum number of workers is

If m, n, p are the three sum of money such that n is the simple interest on m and p is the simple interest on n for the same time period and at the same rate of interest. The relation among m, n, p is

Find the value of y such that \(\sqrt{188+\sqrt{53+5\sqrt{y}}=14} \)

Simplify \(\dfrac{\sqrt{1024}-\sqrt{324}}{\sqrt{441}+\sqrt{196}} \)

Find the value of x such that \(\left(\dfrac{64}{125}\right)^2\left(\dfrac{4}{5}\right)^4\left(\dfrac{16}{25}\right)^{2x+1}=\left(\dfrac{256}{625}\right)^{3x} \)

What will be the additive inverse of A if \(A=\dfrac{3}{5}-\dfrac{4}{27}+\dfrac{5}{18} \)

Find the sum of \(\left(\dfrac{4}{5}+\dfrac{25}{15}-10\right)+\dfrac{21}{45} \)

If \((7q^2-5)\times(-5q^2-9q-8)= -35q^4- 63q^3+aq^2+45q+40 \), the value of \(a= \)

Simplify \(4\sqrt3(2\sqrt{27}-4\sqrt{48})-5\sqrt3(\sqrt{12}-3\sqrt{75}) \)

If the median of \(\dfrac{x}{6},\dfrac{x}{2},\dfrac{x}{4},\dfrac{3x}{5} \) and \(\dfrac{7x}{10} \) is 3 then the mean is

Find x

The ratio of exterior angles to interior angle of a regular polygon is 1:4. Find the number of sides of the polygon.

Find the compound interest an Rs 48000 for one year at 8% per annum when compounded half yearly.

If \(x=3, y=9, z=10, \) then find the value of \(\sqrt{13+x}+\sqrt{112+y}+\sqrt{z-1} \)

If x, y, z are three positive integers such that \(\dfrac{x}{y}=8,\dfrac{y}{z}=\dfrac{1}{6} \) and also x+z=42 then the value of y is

Since we know that the product of m consecutive natural numbers can be written as m!. Find the smallest number m such that m! is divisible by 990

Father’s age is equal to the sum of the ages of his five children. After 15 years, his age will be only half of the sum of the children’s age- how old is the father?

Students of a class voted for their favorite colour and a pie chart was prepared based on the data collected.
Which colour received \(\dfrac{1}{5} \) of the votes?

Students of a class voted for their favorite colour and a pie chart was prepared based on the data collected.
If 400 students voted in all then how many did vote ‘others’ colour as their favorite?

After 12 years kanwar shall be 3 times as old as he was 4 years ago. Find his present age.

The value of x in

For a journey the cost of a child ticket is \(\dfrac{1}{3rd} \) of the cost of an adult ticket. If the cost of the tickets for 4 adults and 5 children is Rs 85 the cost of child ticket is

What is the next shape?

6 oxen or 8 cows can graze the field in 25 days. In how much time will 1 ox and 2 cows can graze the same field. If left together?

A merchant buys two kinds of coffee one at the rate of ₹ 4000 per quintal and another at the rate of rupees 10,000 per quintal. He mixed them in a proportion of 10 kg and 6 kg respectively. If he wants to have a profit of 40% on the whole transaction, then at what price per quintal he must sell the mixture of the coffee.

Pick the odd one out.