NATA SERIES Mathematics
Statistics And Probability
10 previous year questions.
Volume: 10 Ques
Yield: Medium
High-Yield Trend
4
2023 2
2021 4
2019 Chapter Questions 10 MCQs
01
PYQ 2019
medium
mathematics ID: nata-201
The probability that a leap year will have 53 Fridays or 53 Saturday is
1
2/7
2
3/7
3
4/7
4
1/7
02
PYQ 2019
medium
mathematics ID: nata-201
A complete cycle of a traffic light takes 60 seconds. During each cycle the light is green for 25 sec, yellow for 5 sec and red for 30 sec. At a randomly chosen time, the probability that the light will not be green is
1
1/3
2
1/4
3
1/12
4
7/12
03
PYQ 2019
medium
mathematics ID: nata-201
A determinant is chosen at random from the set of order 2 with elements 0 or 1 only. The probability that the determinant chosen non zero is
1
3/8
2
3/16
3
1/4
4
1/8
04
PYQ 2019
medium
mathematics ID: nata-201
A salesman has a 70% chance to sell a product to any customer. The behavior of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will sell the product to customer A or B?
1
0.98
2
0.91
3
0.70
4
0.49
05
PYQ 2021
medium
mathematics ID: nata-202
Some bricks are arranged in a pile with volume 30 cu m. If the length, breadth and height of each brick is 25 cm, 12.5 cm and 8 cm respectively, then in that pile the number of bricks are (Assume there is no gap in between two bricks)
06
PYQ 2021
hard
mathematics ID: nata-202
The figure below shows an unfolded pattern of a die. If four such identical dice are stacked one on top of another, as shown on the right, what is the sum of the numbers appearing on the faces which are parallel to the ground ?


07
PYQ 2023
medium
mathematics ID: nata-202
From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade?
1
4/13
2
1/4
3
1/13
4
1/26
08
PYQ 2023
medium
mathematics ID: nata-202
If P (A∩B) = 70% and P(B) = 85%, then P(A/B) is equal to
1
2
3
4
09
PYQ 2023
medium
mathematics ID: nata-202
A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering its walls and bottom if the cost per square meter is Rs 75 per sq. m? (Answer to be provided in Rupees)
10
PYQ 2023
medium
mathematics ID: nata-202
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be not green?