OAVS TGT Math Mock Test - 4 - OTET MCQ

The value of ‘k’ for which the numbers x, 2x + k, 3x + 6 are in A.P. is

√7 is

In the given data if n = 230, l = 40, cf = 76, h = 10, f = 65, then its median is

Read the following text and answer the following questions on the basis of the same: In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato and the other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line (see figures).

A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are dropped in the bucket.

Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?

A triangle can have______.

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Common difference of an AP in which a²¹ -a⁷ = 84 is 14.

Reason : n th term of AP is given by a_n = a + (n - 1)d

A linear equation in one variable is an equation of the form ………..

Circles having the same centre and different radii are called______.

Read the following text and answer the following question on the basis of the same:

'Skysails' is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The sky sails technology allows the towing kite to gain a height of anything between 100 m to 300 m. The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a telescopic mast that enables the kite to be raised properly and effectively.

Q. What should be the length of the rope of the kite sail in order to pull the ship at the angle θ and be at a vertical height of 200 m?

In figure, AB and CD are parallel to each other. The value of x is :

The probability of a sure event is

A bridge across a river makes an angle of 45° with the river bank. If the length of the bridge across the river is 200m, then the breadth of the river is

If sin x + cosec x = 2, then sin¹⁹x + cosec²⁰ x =

Direction: India's national animal Tiger (which has also been under the radar of the government as its population declined in the country) has witnessed an increase in its population.

A survey was done by the Ministry of Environment, Forests and Climate change, according to which tiger population is on rise at the rate of 6 per cent every year from 2006 and 2018.

Pranav has found a report on status of tigers in India in last 100 years. He has some queries as follow :

Q. What is the total decline in number of tigers between 1960 to 2007?

A cone of height 8 m has a curved surface area 188.4 ². The radius of the base is : (Take π = 3.14) :

The expansion of (2a – 3b + 5c)².

If the circumference of a circle and the perimeter of a square are equal, then

The sum of three terms of an A.P. is 72, then its middle term is

The 10th term of an A.P. 2, 7, 12, …….. is

Which of the following is a quadratic equation?

Which of the following equations has - 1 as a root?

The length of each side of a rhombus is 10cm and one of its diagonal is of length 16cm. The Length of the other Diagonal is:

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm² .

Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr²).

If a is a non-zero rational and √b is irrational, then a√b is:

In ΔABC, AB = 2.5 cm and BC = 6 cm. Then, the length of AC cannot be

If the product of two zeros of the polynomial f(x) = 2x³ + 6x² – 4x + 9 is 3, then its third zero is