CAT Questions

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Her the given number series is 11, 17, 39, 85, ?

$$\begin{gathered} 11 \\ 11 + 32 - 3 = 17 \\ 17 + (52 - 3) = 39 \\ 39 + (72 - 3) = 85 \\ 85 + (92 - 3) = 163 \end{gathered}$$

Hence, the next number in the given sequence is 163.

Onam is an annual Hindu festival with origins in the state of Kerala in India. It falls in the Malayalam calendar month of Chingam, which in Gregorian calendar overlaps with August–September. In this festival, boat races are famous.

Two sub groups of Himalayan Rivers are Trans Himalayan Rivers and Himalayan Rivers.

• Trans Himalayan Rivers :

These rivers originate beyond the Himalayas. They are The Indus, The Sutlej and The Brahmaputra Rivers.

• Himalayan Rivers :

These are the rivers originate from Himalayas. They are The Ganga, The Yamuna and their tributaries.

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March. April. May. June.
(31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday.

In the given series numbers are arranged following the rule,

55,44, 33, 22, 11

 Therefore, the missing number is 27.

Microsoft Office is an example of a Horizontal market software.

In computers, software is a collection of programs which performs a task. Horizontal market software is an application software that is useful in a wide range of industries. Horizontal market software is also known as "productivity software."

Examples :

Email, Payroll, Operating Systems (OS), Spread sheets, etc...

Lethargic means "sluggish", kind of inactive

Vital means full of energy, lively

So, they are antonyms.

So, for the 2nd part of the analogy, you are looking for a antonym to trite

Trite means lacking originality or freshness. Overused. Kind of like a cliche

So, an antonym could be original, unique, innovative.

51 + 52 + 53 + ...........+ 100

 = (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50)

 = It is in the form of n(n+1)2 series summation

= n1 = 100 , n2 = 50

=100100+12 - 5050+12

 =  (5050 - 1275) = 3775