NIELIT Scientist D Paper 2019 – Basic Mathematics
In a swimming-pool 90 m by 40 m, 150 men take a dip. If the average displacement of water by a man is 8 cubic metres, what will be rise in water level?
(a) 30 cm
(b) 33.33 cm
(c) 20.33 cm
(d) 25 cm
A conical tent is to accommodate 10 persons. Each person must have 6 sq.m space to sit and 30 cubic m of air to breath. What will be height of cone?
(a) 37.5 m
(b) 150 m
(c) 75 m
(d) 15 m
A school has 378 girls and 675 boys. All the students divided into strictly boys and strictly girls students sections. All the sections in the school has same number of students. What is the number of sections in the school?
(a) 27
(b) 36
(c) 39
(d) 23
If P(x,y) is any point on the line joining the points A(a,0) and B(0,b) then the value of bx+ay-ab is
(a) 1
(b) -1
(c) 0
(d) 2
How many pair of natural numbers are there, the differences of whose square is 45?
(a) 1
(b) 2
(c) 3
(d) 4
In an acute angled triangle ABC, if tan (A+B-C)=1 and Sec(B+C-A)=2. Find angle A.
(a) 60 degree
(b) 45 degree
(c) 30 degree
(d) 90 degree
Find the value of the expression 1-6+2-7+3-8+…….. to 100 terms.
(a) – 250
(b) – 500
(c) – 450
(d) – 300
A bag contains 12 balls of the two different colours out of which x are white. One ball is drawn at random. If 6 more white balls are put in a bag, the probability of drawing a white ball now will be doubled to that of previous probability of drawing a white ball. The value of x is
(a) 4
(b) 5
(c) 6
(d) 3
If (-4,0), (1,-1) are two vertices of a triangle whose area is 4 Sq units then its third vertex lies on
(a) y=x
(b) 5x+y+12=0
(c) x+5y-4=0
(d) x-5y+4=0
How many litres of a 3% hydrogen peroxide solution should be mixed with 6 litres of a 30% hydrogen peroxide solution so as to get a mixture of 12% solution?
(a) 3 litres
(b) 6 litres
(c) 9 litres
(d) 12 litres
A train travelling from Delhi to Ambala meets with an accident after 1 hr. It is stopeed for 30 minutes, after which it proceeds at four-fifth of its usual rate, arriving at Ambala at 2 hr late. If the train has covered 80 km more before the accident, it would have been just 1 hr late. The usual speed of the train is
(a) 20 km/hr
(b) 30 km/hr
(c) 40 km/hr
(d) 50 km/hr
A dog at point A goes in pursuit of a fox 30 m away. The dog makes 2 m and the fox, 1 m long leaps. If the dog makes two leaps to the fox’s three, at what distance from A will be the dog catch up with the fox?
(a) 100 m
(b) 110 m
(c) 105 m
(d) 120 m
If 5 spiders can catch 5 files in 5 minutes. How many files can 100 spiders catch in 100 minutes.
(a) 100
(b) 1000
(c) 500
(d) 2000
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