[Download PDF] TISSNET 2022 Paper with Solutions

Instructions

For the following questions answer them individually

Question 51

In a charity show, tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected randomly will have a number with a hundredth digit as two?

Video Solution

Solution

350 = 101 + (n-1)1
n = 250
Total number of tickets = 250
There are 100 tickets(200 to 299) between the tickets 101 and 350 whose hundredth digit is 2.
Probability = $$\ \frac{100}{250}$$

Answer is option A.

Question 52

The missing character in the series A D I _ Y is

Video Solution

Solution

There are two alphabets between A and D.
There are four alphabets between D and I.
There must be six alphabets between I and next letter.
I, J, K, L, M, N, O, P
There are eight alphabets between P and Y
Therefore, missing character is 'P'.

Answer is option B.

Question 53

Angle bisectors of a parallelogram form a _____.

Video Solution

Solution

Angular bisectors from A and B intersect at P, B and D intersect at Q, C and D intersect at R, and A and C intersect at S.
In a parallelogram ABCD, AC is parallel to BD.
$$\angle\ CAB\ +\angle\ ACD\ =\ 180^{\circ\ }$$
$$\angle\ CAS\ +\angle\ ACS\ =\ 90^{\circ\ }$$
In triangle CAS,
$$\angle\ ASC\ =\ 180^{\circ\ }-90^{\circ\ }=90^{\circ\ }$$
As all the angles of PQRS are $$90^{\circ\ }$$, PQRS is a rectangle.

Answer is option D.

Question 54

In a class of 45 students, 25 are girls. In a test, 30 students scored above 90% marks and 18 of them are girl students. A student is selected at random. The probability of selecting a girl scoring above 90% marks is___________

Video Solution

Solution

It is given,
Total number of students = 45
Number of girls who scored above 90% marks = 18
Therefore, probability = $$\frac{18}{45}\ $$

Answer is option A.

Question 55

How many two-digit numbers are divisible by 3?

Video Solution

Solution

The least 2-digit number divisible by 3 = 12
The highest 2-digit number divisible by 3 = 99
99 = 12 + (n-1)3
(n-1)3 = 87
n = 30
There are 30 2-digit numbers divisible by 3.

Answer is option A.

Question 56

Three years ago, the population of a town was 1 lakh. If the annual increase during three successive years was at the rate of 4%, 2% & 2% per annum respectively, find the approximate present population.

Video Solution

Solution

Three years back population = 1 lakh
Present population = $$100000\times\ \frac{104}{100}\times\ \frac{102}{100}\times\ \frac{102}{100}$$ = 104*102*10.2 = 108201.6 $$\approx\ $$ 108202

Answer is option C.

Question 57

The following five candidates have applied for a position in an organisation: Male 30 years, Male 32 years, Female 45 years, Female 20 years, and Male 40 years. What is the probability that the candidate selected for the position will be either female or over 35 years?

Video Solution

Solution

Female - A
above 35 years - B
n(A $$\cup $$ B ) = n(A)+n(B) - n (A $$ \cap $$ B) = 2 + 2 - 1 = 3
Probability = $$\frac{3}{5}$$

Answer is option D.

Question 58

If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is__________.

Video Solution

Solution

Total surface area = 2(lb + bh + hl) = 2(150 + 200 + 300) = 1300 $$cm^2$$

Answer is option A.

Question 59

A car uses 18 litres of petrol in travelling 270 kilometers. In order for the car to travel the same distance using 10 litres of petrol, by how many kilometers per litre must the car’s fuel mileage be increased?

Video Solution

Solution

Mileage when car uses 18 litres to travel 270 km = $$\frac{270}{18}$$ = 15 km/litre

Mileage required to travel 270 km using 10 litres = $$\frac{270}{10}$$ = 27 km/litre

Mileage should be increased by 27-15 = 12 km/litre

Answer is option A.

Question 60

In an election, the candidate from Party A received one and half times as many votes
as the candidate from Party B. The candidate from Party B received one-third more
votes than the independent candidate. 900 votes were cast for the independent
candidate. How many votes were cast for the candidate from Party A?

Video Solution

Solution

Votes received by independent candidate= 900

Votes received by B= (4/3)*900= 1200

Votes received by A= (3/2)*1200= 1800

CAT Content

TISSNET 2022

In a charity show, tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected randomly will have a number with a hundredth digit as two?

The missing character in the series A D I _ Y is

Angle bisectors of a parallelogram form a _____.

In a class of 45 students, 25 are girls. In a test, 30 students scored above 90% marks and 18 of them are girl students. A student is selected at random. The probability of selecting a girl scoring above 90% marks is___________

How many two-digit numbers are divisible by 3?

Three years ago, the population of a town was 1 lakh. If the annual increase during three successive years was at the rate of 4%, 2% & 2% per annum respectively, find the approximate present population.

The following five candidates have applied for a position in an organisation: Male 30 years, Male 32 years, Female 45 years, Female 20 years, and Male 40 years. What is the probability that the candidate selected for the position will be either female or over 35 years?

If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is__________.

A car uses 18 litres of petrol in travelling 270 kilometers. In order for the car to travel the same distance using 10 litres of petrol, by how many kilometers per litre must the car’s fuel mileage be increased?

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CAT Content

TISSNET 2022

TISSNET 2022

In a charity show, tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected randomly will have a number with a hundredth digit as two?

The missing character in the series A D I _ Y is

Angle bisectors of a parallelogram form a _____.

In a class of 45 students, 25 are girls. In a test, 30 students scored above 90% marks and 18 of them are girl students. A student is selected at random. The probability of selecting a girl scoring above 90% marks is___________

How many two-digit numbers are divisible by 3?

Three years ago, the population of a town was 1 lakh. If the annual increase during three successive years was at the rate of 4%, 2% & 2% per annum respectively, find the approximate present population.

The following five candidates have applied for a position in an organisation: Male 30 years, Male 32 years, Female 45 years, Female 20 years, and Male 40 years. What is the probability that the candidate selected for the position will be either female or over 35 years?

If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is__________.

A car uses 18 litres of petrol in travelling 270 kilometers. In order for the car to travel the same distance using 10 litres of petrol, by how many kilometers per litre must the car’s fuel mileage be increased?

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