You have a balance and the following weights: 
4kg,  8kg, 16kg, 32kg, and 64kg.

How many different possible weights can you measure with these items?



 See our previous ‘Puzzles of the Day’: 

https://tathagat.mba/puzzle-of-the-day-55/ 
https://tathagat.mba/puzzle-of-the-day-54/



Numbers

Given below is the sequence of all the natural numbers which don’t contain the digit ‘0’.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13…

What is the product of the digits of  200th term of this sequence?

1. 12
2. 8
3. 6
4. 21

See our previous ‘Questions of the Day’: 

https://tathagat.mba/quant-question-of-the-day-130/
https://tathagat.mba/quant-question-of-the-day-129/

The letters J, K, L, M, N, O and Z, represent seven consecutive integers from 42 to 53. Not necessarily in that order,O is as much less than K as L is greater than M. Z is greater than O. K is the middle term. J is 3 greater than M. Can you find the sequence of letters from the lowest value to the highest value?

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Numbers 

The number of positive integers n in the set {1, 2, 3… 100} for which the  expression (12 + 22 + 32 + ……+ n2)/(1 + 2 + 3 + …….+ n ) an integer is: ___________

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Time Speed and Distance 

On a 12km circular track, three girls go-carting simultaneously in the clockwise direction at 3:45 pm. If the three girls move at constant speed of 5m/s, 7.5m/s and 2.5m/s, when will they meet at the starting point for the first time ? 

1. 5:18 pm
2. 6:45 pm
3. 5:05 pm
4. None of these

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Four friends, who work in different departments of a college, made a statement each as given below. It is known that two of them always speak the truth and the rest two always tell a lie.

Ankit: Vineet works in Commerce department. Dinesh works in Mathematics department.

Vineet: Shivam works in Mathematics department. Ankit works in English department.

Shivam: Ankit works in Commerce department. I work in Science department.

Dinesh: Neither Ankit nor Shivam works in Mathematics department. I work in English department

Who works in the Mathematics department?

1. Ankit
2. Vineet 
3. Shivam
4. Dinesh

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Numbers

N = 2.xxyxxyxxy…, where at most one of the digits x and y is 0. Which of the following numbers, when multiplied by N, necessarily results in an integer?

1. 198
2. 666
3. 990
4. 1998

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