BIHAR CGL MATHS PRACTICE QUIZ

A sphere of radius $9 \mathrm{~cm}$ is moulded to form a cylinder of radius $3 \mathrm{~cm}$. Find the height of the cylinder.

If the simple interest on a sum of money for 3 years at the rate of $10\%$ per annum is ₹ 1500, then what will be the compound interest on the same amount for the same amount of time at the same rate?

Two pipes A & B individually fill an empty tank in 15 hours and 45 hours respectively. pipe  C can empty the same tank in 30 hours. If all three pipes opened together in the tank, then in how many hours the tank will be filled completely?

A and B two pipes can fill a tank in 24 hours and 48 hours, respectively. If both pipes are opened simultaneously, how much time will it take to fill the tank?

The ratio between the present ages of A and B is 4 : 5. After 10 years, the ratio between their ages will be 5 : 6. The difference between their present ages is:

Two numbers are in the ratio 7: 11. Their LCM is 385 . Then the smallest number is:

An article was sold for ₹ 1,215 after giving a discount of 19%. If a discount of 17.5% is given, then for how much (in ₹) should the article be sold?

If the average of the following six observations: $x+2, x+5, x+8$, $x+11, x+14$ and $x+17$ is $12.5$, what is the average of the first three observations?

In a mixture of 75 litres, the ratio of milk to water is 3: 2. If the ratio is to be 1: 2, how much water should be added ?

A batsman scored 124 runs, which included 6 boundaries and 10 sixes. What percentage of his total score did he make by running between the wickets?

The average age  of 40 students of a class is 12 years. After adding teacher's age, the average age of all of them becomes 13 years. If the retirement age of the teacher is 55 years, then he will retire after

Which smallest number should be subtracted from 9222 to make it a perfect square?

The value of $36 \div 18$ of $3 \times 2+8 \div 4$ of $2 \times 5-5 \div 10 \times 2$ is:

The incomes of A and B are in the ratio 8: 11, and the ratio of their savings is 7: 9. If the expenditure of A and B is ₹ 25000 and ₹ 35000, respectively, then what is the income (in ₹) of B?

A sum of money is to be distributed among A, B, C and D in the ratio of 5: 2: 4: 3. If A gets ₹ 1000 more than D, then what is B's share?

A certain sum amounts to ₹ 6,624 at $9.5 \%$ p.a. in 4 years, at simple interest. What will be the simple interest (in ₹) on the same sum at the same rate in $6 \frac{1}{2}$ years ?

$40 \%$ of $210+\sqrt{289} \times15-51 \times \sqrt{16}=$ ?

X, Y and Z can do a piece of work in 38 days, 76 days and 19 days, respectively. X started the work. Y joined him after 2 days. If Z joined them after 8 days from the beginning, then for how many days did X work?

Find the greatest number which divides 216,248 and 312 , leaving the same remainder.

How many numbers are there from 600 to 750 (including both) which are neither divisible by 3 nor by 7 ?

A can finish a piece of work in 48 days and B can finish it in 72 days. They work together for 12 days and then A goes away. In how much time (in days and hours) will B finish 25% of the remaining work?

The average of 50,70,40,20, a, and b is 50 and the average of 40,45,50,55,40, c, and d is 55 . What is the average of a, b, c, and d ?

Aman spends 75% of his income. If his expenditure increases by 40% and savings increase by 30%, then by what percentage will his income increase?

A trader sells an article for ₹ 600 and loses 20%. At what price (in ₹) should he sell the article to earn 10% profit?

The following bar graph shows the total number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A, B, C, D and E.

What is the ratio of the number of employed youth in states A, C and E taken together to the number of youth in states B, C and D taken together?