CAT Questions

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Given 11 questions of type True or False

Then, Each of these questions can be answered in 2 ways (True or false)

Therefore, no. of ways of answering 11 questions = 211 = 2048 ways.

If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are k, l, m, n & o respectively, then
k + l + m + n = 58 x 4 = 232 ---- (i) &
l + m + n + o = 60 x 4 = 240 ---- (ii)
Subtracting (i) from (ii), we get
o-k = 8 ---(iii)
Given, k/o = 8/9 ----(iv)
So from (iii) & (iv), we get
a = 64, e = 72
Therefore, number of visitors on 5th day is 72.

Given numbers are 1, 2 and 3

Factors of 1 = 1

Factors of 2 = 1, 2

Factors of 3 = 1, 2 and 3

Common factors = 1

Hence, the HCF of 1, 2 and 3 = 1.

A Scalar quantity is a quantity that has only magnitude but no direction as like vector. 

Here in the given options, electric current is the only one which is scalar.

One hour = 60 min

18/60 = 3/10

To get the least number of coconuts :
LCM = 30 => 30 + 1 = 31

When profit is calculated on Marked Price (M.P) then,

• C.P = M.P - P%

Let M.P = 100

 => C.P = 100 - 30 = 70

 But S.P = Rs. 80 as he gave 20% discount,

 Now, Actual Profit = 80-7070x100

  = 100/7 %

Let varun's age = x yrs.

From the given conditions,

x+1  =  2(x-12)

x = 25 years.