In a supermarket, there is an intelligent glass pane before a refrigerating unit. This glass pane allows cherries and apples through it but does not allow grapes and Orange to pass through it.

Can you identify the rule that the glass pane is following?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

Look at the below sequence of letters and tell us what the next letter should be:

O T T F F S S ?

You have $100 with you and you have to buy 100 balls with it. 100 is the exact figure and you can't go below or above the numbers and you have to use the entire $100. If there is no kind of tax applied how many of each of the following balls will you be able to buy:

Green Balls costing $6
Yellow Balls costing $3
Black Balls costing $0.10

Now, how many of each must you buy to fulfil the condition given?

What is full of holes but still holds water?

Find the next number in the series

12, 20, 40, 72, 116, 172 ?

There is a hypothetical state between the USA and Mexico border 'Tango'.
Here 70 percent of the population have defective eyesight, 75 percent are hard of hearing, 80 percent have Nose trouble and 85 percent suffer from allergies, what percentage (at a minimum) suffer from all four ailments?

What Time Should the last watch show in the below figure?

Can you name some countries which do not have the alphabet 'A' in them?

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211