TISSNET 2022

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.

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.

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.

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.

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.

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.

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.

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

Answer is option A.

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.

Votes received by independent candidate= 900

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

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