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NSET 2023 Exam Prep Guide

The document provides sample questions from past year NSET question papers covering topics like mathematics, learnability and aptitude. The mathematics questions include problems related to averages, probabilities and recursive relations. The learnability questions test recursive functions. The aptitude questions include problems related to profit calculation and arranging words in dictionary order based on an alien language alphabet.

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50 views5 pages

NSET 2023 Exam Prep Guide

The document provides sample questions from past year NSET question papers covering topics like mathematics, learnability and aptitude. The mathematics questions include problems related to averages, probabilities and recursive relations. The learnability questions test recursive functions. The aptitude questions include problems related to profit calculation and arranging words in dictionary order based on an alien language alphabet.

Uploaded by

rejeso4133
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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NSET

Past Year Question Bank


NSET 2023 Solved Questions

Section 1- Mathematics

Question 1
The average score of a class in a math test is 75. If ten new students, who scored an
average of 80, join the class, the average score of the entire class becomes 77. How
many students were there in the class initially?

Answer:
Let n be the total number of students in class initially.

Total class score for Math = 75*n

Total score for 10 new students = 10*80

New Total class(n+10) score = 800+75*n = 77*(n+10)

=> 75n +800 = 77n +770


=> 77n-75n = 800-770
=> 2n = 30
=> n =15

………………………………………………………………………………………………………………………………………………………………….

Question 2

In a survey conducted among 250 IPL fans, 120 students support CSK, 80 students
support RCB, and 30 students support both CSK and RCB.

If a student is selected at random, what is the probability that the selected student
neither supports CSK, nor RCB?

Answer:
n(T1) = number of student supporters for team T1

n(CSK) = 120
n(RCB) = 80
n(CSK & RCB) = 30
n(CSK or RCB) = 120 + 80 - 30 = 170

n(neither CSK nor RCB) = Total number of student fans - n(CSK or RCB) = 250-170 =
80
p(neither CSK nor RCB) = 80/250 = 0.32

………………………………………………………………………………………………………………………………………………………………….

Section 2- Learnability

Question 1

Given a recursive equation,


F(N) = F(floor(N/3)) + 1
F(1) = 1

Calculate the value of F(2187).

Where floor(x) gives the greatest integer less than or equal to x.


floor(3.14) = 3
floor(1.9) = 1
floor(5) = 5

Answer:
F(2187)= F(floor(2187/3))+1 = F (729)+1 = F(floor(729))+2= F(243)+2 = F(81)+3 = F(27)+4 =
F(9)+5 = F(3)+6 = F(1)+7 = 8

………………………………………………………………………………………………………………………………………………………………….

Question 2

Given a recursive equation,


F(N) = F(N-1) + N
F(1) = 1

Calculate the value of F(600).

Answer:
F(600) = 600 + F(599) = 600 + 599 + F(598) = …… = 600+599+598+....+2+1 = 600/2
*(600+1) = 601*300 = 180300
………………………………………………………………………………………………………………………………………………………………….

Section 3- Aptitude

Question 1

The selling price of x articles is the same as the cost price of 12 articles. If the profit is
20%, then what is the value of x?

Answer:
S.P. of x articles = C.P. of 12 articles

Profit = 20% => S.P. = 1.2 * C.P.

1.2 * C.P. * x = 12 * C.P.


=> 1.2 x = 12
=> x = 10
………………………………………………………………………………………………………………………………………………………………….

Question 2

In an alien language, surprisingly, they also use English lowercase letters, but in a
different order given as

"w o r l d a b c e f g h i j k m n p q s t u v x y z"

Arrange the following words in dictionary order as per the given order of alphabets:
["awde", "bwld", "wol", "ozceg", "wrd", "bwdl"]

Answer:
Words starting with w comes first, then word starting with o & then words starting
with a & then b.

wol & wrd < ozceg < awde < bwld & bwdl

wol < wrd < ozceg < awde < bwld < bwdl

wol-wrd-ozceg-awde-bwld-bwdl
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