Bank Math

There are 15 boys and 10 girls in a class. If three students are selected at random, what she probability that 1 girl and 2 boys are selected?

x + y = 5, x + 4y = 4 what is the Value 4x² + 20xy + 16y²?

In a room of 36 people, 20 players play chess while 28 players play poker. How many players play both?

A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?

The ratio of milk and water in a pot is 5:2. If the quantity of milk is 6 litre more than quantity of water, then what is the quantity of milk in the pot in litre?

What is the value of sin45° ?

A school only 3 classes having 20, 30 and 40 students respectively. The percentages of students passed are 30%, 50% and 60% respectively. Find the percentage of passed students of the entire school.

The expression (11.98 × 11.98 + 11.98 × Q + 0.02 × 0.02) will be a perfect square for Q = 

What is the perimeter of the rectangle shown at the right? 

In triangle ABC, AB = AC . All of the following statements are true except

Quantity in A : 1 - (1/27) and Quantity B : (8/9) + (1/81)

The slope of the line perpendicular to the line y = - 5x + 9 is-

The ratio of the cost of two articles is 7 : 3 . The first one was sold at a loss of 20% and the second one was sold at a gain of 40% What is the overall percentage of gain/loss?

What is the minimum number of chocolate that must be added to the existing batch of 260 chocolate, so that the total batch can equally be divided among 3, 4 or 6 person?

Two sides of a triangle are 7 and 16. Which of the following is not the length of the third side?

A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is:

Q. (56-61): Answer the questions based on the following information. 
A farmer has three fields, 1, 2 and 3, and is deciding which crops to plant. The crops are F, G, H, I & J.
F will grow only in fields 1 and 3, but in order for F to grow it must be fertilized with X.
G will grow in fields 1, 2, and 3, but in order for G to grow, fertilizer X must not be used.
H will grow in fields 1, 2, and 3 but in order for H to grow in field 3. it must be fertilized with Y.
I will grow only in fields 2 and 3, but in order for I to grow in field 2 it must be sprayed with pesticide Z, and in order for I to grow in field 3, it must not be sprayed with Z.
J will grow only in field 2, but in order for J to grow. H must not be planted in the same field.
All crops are planted and harvested at the same time. More than one crop may be planted in a field.

It is possible to grow which of the following pairs of crops together in field 1?
I. F and G
II. G and H
III. F and H
IV. H and J

If x² + 9/x² = 31, what is the value of x - 3/x?

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

I we double a certain number and add 30 to it, we get the same value as four times that number. What is the value of thrice the number?