Author: TG.Raman

101 Must Solve Quant Questions Before CAT 2021

The only certain thing about CAT is uncertainty!

We hope that you are already done with your preparation for CAT 2021. You must have revised the syllabus again and again to make yourself comfortable. We know it because we have heard it from….yes, literally everyone! However, many of you are preparing with books which were written 5-6 and in some cases 10 years ago. During this time period IIMs have changed their directors multiple times, as have their faculty members and, not to mention, their CAT test patterns and types of questions .

We at TathaGat observe, analyse and attempt the CAT paper every year to bridge the gap. With an in-depth analysis of the changing trends in CAT we have picked the most probable problems which expose you to all sorts of techniques used while framing a question. Practise them to your full strength during the last days of CAT preparation .

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Quant Question Of The Day: 110

Arithmetic

Ghajini and Rajni love solving math problems and each one of  them solves them at a constant rate. Ghajini can solve a particular assignment containing math problems  working alone in 6 hours work whereas Rajni can solve the same assignment in 8 hours. If they solve together, they can discuss the problems and this helps to enhance their efficiency in solving problems . So, their combined  problem solving rates is the sum of their individual rates plus 2 additional problems per hour. Working together, they complete the same problem assignment  in 3 hours. How many problems are on the assignment?

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Puzzle of the Day : 40

Grouping and Selections 

Three groups are formed from three professors – P, Q  and R – three lecturers –  A, B and C – and six students – U , V , W , X , Y and Z. Each group consists of exactly one professor , one lecturer and two students . W and X are in one group but not in the groups of P or Q. V and Y are not in the the same group. Q and B are in the same group . Which of the following can be a correct combination of one of the groups ?
(A) R – A – VU
(B) Q – B – WX
(C)P – A – YZ
(D) R – C – YZ 

Each of the three groups consists of one professor out of P, Q, R; one lecturer out of A , B and C; two students out of U, V, W,X,Y,Z that means P, Q , R are in three different groups and so are A, B and C. 

W and X are in one group but not in the group of P and Q, that means they are in R’s group. 
U and Z are not in the same group.
V and Y are not in the same group.
Q and B are  in the same group.
So A and C must be in the groups of P and R. So, the groups can be as follows: 

Group – I

Group – II

Group – III

R
( A or C)

WX

Q
B
( VU or YZ)

P
(C or A)
(YZ or VU)

 

So the correct combination out of the given 4 choices is P – A – YZ.

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See our previous ‘Puzzles of the Day’:  

Puzzle of the Day : 39

Puzzle of the Day : 38

Quant Question Of The Day: 109

Regular Polygon- Geometry

 

A regular polygon has an even number of sides . If the product of the length of its side and the distance between two opposite sides is 1/4th of its area. Find the number of sides it has . 

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Puzzle of the Day : 39

Relation Puzzle

How is W’s husband, who is the only child of Y, whose granddaughter is X, is related to Y’s wife’s grandson? 

(A)Father
(B)Son
(C)Grandfather
(D) None of these 

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Quant Question Of The Day: 108

Numbers – Integers

 

If n is an integer such that 2 ≤ n ≤ 2018 , for how many values of n is ( 1 + 1/2) ( 1 + 1/3) ( 1+ 1/4)  …… ( 1 + 1/n)   equal to a positive integer?

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Quant Question Of The Day: 107

Counting 

Find the total number of ways in which one can wear three distinct rings on the 5 fingers of one’s left hand, given that one is allowed to wear more than one ring on a finger.

 

See our previous ‘Questions of the Day’: 

Quant Question Of The Day: 106
Quant Question Of The Day: 105

Puzzle of the Day : 38

RO-HITMAN

The scorecard of Rohit Sharma in a One day match is shown in the table below.

All runs scored are in singles, doubles , threes , fours and sixes. No extras.
Strike rate = No. of runs scored / No. of balls faced

Q.. Find the minimum strike rate Rohit would have had after facing 70 balls or deliveries

A. 40 %
B. 57.82 %
C. 34.28 %
D. None of these

See our previous ‘Puzzles of the Day’:  

Puzzle of the Day : 37

Puzzle of the Day : 36