Math and Logic Quiz

How many 3 digit odd numbers are divisible by 3 ?

• 150

• 200

• 175

• 250

A wizard has a 70% chance of hitting a target. If he casts 5 spells, what’s the probability he hits exactly 3 times ?

• 30.87%

• 34.3%

• 13.23%

• 15.43%

You have X wine bottles, one is poisoned. Any amount of poison is fatal in exactly 24 hours. You have 10 testers and only 24 hours to find the poisoned bottle. What is the maximum number of bottles (X) you can test for poison?

What is the total number of possible motor vehicle registration plates for Delhi, each following the format (DL 12Q 8702), where the digits 0 to 6 are used, and a consonant is placed at the alphabetical position? Both consonants and digits cannot be repeated in a number plate.

• 95760

• 105,840

• 95,040

• 17,640

If A X B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A – B means A is to the west of B; then in P % Q + R – S, S is in which direction with respect to Q?

• South-West

• South-East

• North-East

• North-West

There are 5 people in a room labeled Person n ( for all n from 1 to 5 ), each person is either a truth teller who always tells the truth or a liar who always lies. Each person knows the type of everyone else. Each person is asked “how many liars are among you ?” The following responses are recorded- person 1 says “1”, person 2 says“2”, person 3 says ”3”, person 4 says “4” and person 5 says ‘5”. How many liars are actually present in the room ?

What is the number of digits in 2^500?

Initially, there are 100 closed lockers lined up in a row. A series of 100 people each take turns performing actions on the lockers: the first person opens every locker, the second person toggles (opens if closed, closes if open) every second locker starting from the second locker, the third person toggles every third locker starting from the third locker, and so on. At the end of these actions, find the 2nd largest locker number that remains open?

• 96

• 89

• 81

• 64

Eight identical sized squares of paper have been placed on top of one another in a particular order so that they overlap as shown. Enter the order in which they have been positioned, working from the top sheet down to the bottom sheet.

How much do you have to deposit today in order to be able to withdraw 100 rupees at the end of each year for the next 20 years if the deposit earns 5% per annum? Round off to the nearest integer.