CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Find the remainder when 12233344455555...100 terms divided by 7 ?

Let S be d set of integers x such that 1. 100 < = x < = 200 2. X is odd 3. X is divisible by 3 but not 7 How many elemnts does x contains. Please xplain. Ans z 13

Let n (>1) be a composite integer such that (square root of n) is not an integer. Consider the following statements: A: n has a perfect integer-valued divisor which is greater than 1 and less than n B: n has a perfect integer-valued divisor which is greater than(square root of n) but less than n 1. Both A and B are false 2. A is true but B is false 3. A is false but B is true 4. Both A and B are true

Mr shah has to divide his assets worth 30 crores in 3 parts to be given to three of his sons a,b,c ensuring that every son gets assets at least worth 5 crores. In how many ways can this be done if it is given that the three sons should get their shares in multiples of 1 crore?

Let a, b, c, d and e be integers such that a = 6b = 12c, and 2b = 9d = 12 e. Then which of the following pairs contains a number that is not an integer? 1. a/27, b/e 2. a/36, c/e 3. a/12, bd/18 4. a/6, c/d

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Answer to this question?

Remainder when 12233344455555......100 terms divided by 7

Y ?

Plz explain 15

Need a method find out the sum of the digits of no. 111213141516171819202121...............676867. 

Two dice are thrown simultaneously. What is the probability that the sum is a multiple of 4?

Please explain

A fruit dealer fixes selling price of watermelon juice in such a way that he ends up earning a profit of 30% after paying tax, which is 13% of the cost price. A shopkeeper buys watermelon juice from the dealer and marks up the price by 15% and then adds 25% water to the juice. He then gives a discount of 4% on juice to his customers and thereby sells juice at Rs. 98.67 per litre. What is the cost price per litre of the watermelon juice for the fruit dealer?

hey i'm facing a problem giving aimcat1719. i'm giving this after my booked time slot, the screen is frozen and just timer is running. i have given vrc without any such issues but right now at dilr section i'm not able to do anything. do anyone facing/faced similar issue, please help...

The probability that the birthdays of 4 different persons will fall in exactly two calender months ?

QUAM

What is the remainder when 122333444455555..100 terms is divided by 7?

Could anybody please provide a solution for this?

If x1, x2, . . . , x7 are real numbers such that

x1 + 4x2 + 9x3 + 16x4 + 25x5 + 36x6 + 49x7 = 1

4x1 + 9x2 + 16x3 + 25x4 + 36x5 + 49x6 + 64x7 = 12

9x1 + 16x2 + 25x3 + 36x4 + 49x5 + 64x6 + 81x7 = 123.

What is the value of 16x1 + 25x2 + 36x3 + 49x4 + 64x5 + 81x6 + 100x7?

Please explain

Solution please !

Two horses are tethered at diagonally opposite corners of a square field of area 96 m2 by ropes of length 8 m each. Find the approximate area (in m2) inside the field that cannot be grazed by the horses.