AAI ATC 2018: Final Revision Quiz 9 for ESE & GATE ME Exams

Question 1

Which five country participates in the Himalayan Hydro Expo 2018?

Question 2

In a class, P has more marks than Q and R does not have the least marks. S has more marks than T and T has more marks than P, who among them will have the least marks?

Question 3

Aseries is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
1, 5, 30, 210, 1680, ?

Question 4

If A and B are the roots of the equation Ax²−A²x+AB = 0, then what is the value of A and B respectively?

Question 5

In the figure shows that four batteries connected to form a circuit. And each battery has different internal resistance as shown below in the figure. Find the value of current passing through the circuit.

Question 6

The average translational kinetic energy per molecule of an ideal gas at 0 °C (k =1.38 × 10^–23 J/K) is –

Question 7

The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time period of the pendulum of increased length is

Question 8

Area bounded by the curves

Question 9

It is given that a trajectory takes the shape of a parabola. When plotted on a paper it had the following specification. Based on this, solve the underlying problem.
At any point P on the parabola y² – 2y - 4x + 5 = 0, a tangent is drawn which meets the directrix at Q. Find the locus of point R, which divides QP externally in the ratio (1/2) : 1.

Question 10

The angle of elevation of the Sun, when the length of the shadow of a tree is equal to the height of the tree, is:

Question 11

Find the plural form of the given word.

Ox

Question 12

Direction: Read the passage carefully and choose the best answer to the given question out of the four alternatives.

According to a recent report released by the World Health Organization, nearly 100 million Indians suffer from various mental illnesses such as depression and anxiety disorders. Conversations around mental health are sadly lacking. The deadly cocktail of stigma, taboo and ignorance does not encourage people with mental health illness to share their struggles and any attempt is shoved under the carpet.

Which conclusion can be inferred from the given passage?

Question 13

The first Asian Secretary-general of U.N.O. was

Question 14

Which year has the same calendar as 1800?

Question 15

Reema walked 10 km south, turned right and walked 5 km. Then again she turned right and walked 10 km. Then she turned left and walked 10 km. How many km will Reema have to walk to reach the starting point?

Question 16

Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?

Question 17

A square loop of the area

having 50 turns is rotated with a uniform angular velocity

about one of its diagonal. Which is kept fixed in a horizontal position? A uniform magnetic field

exists vertical direction. Find the induced emf in the coil at

.

Question 18

A heat engine gets reversibly 500 kJ/cycle of heat at 427 and rejects heat reversibly at 127. If there are no other transfer of heat, what is the type of cycle when the rate of heat rejection is 320 kJ?

Question 19

A ship collides with a big ice piece in the sea and sticks together. Which one undergoes the larger change in momentum?

Question 20

The height of cylinder is equal to its radius. Now due to some clogging the radius is getting narrowed by 8 m/s at a height of 6 m. Find the rate of change in Volume

Question 21

If a unit vector

is equally inclined at an angle

with the vectors

is equal to

Question 22

The sum of the series cot^-12+ cot^-18+ cot^-118+ cot^-132+….. is

Question 23

Given below are four jumbled sentences. Select the option that gives their correct order.

P. The South African Human Rights Commission (SAHRC) has criticised government for its decision to raise the Value-Added Tax (VAT) rate.
Q. The VAT rate was raised from 14% to 15% on April 1, 2018, the first change since 1993.
R. By the one percentage point in April, arguing it is a regressive tax hike that appears to be ‘constitutionally suspect’.
S. The hike was announced in former Finance Minister Malusi Gigaba in the 2018 Budget.

Question 24

In the sentence, identify the segment which contains the grammatical error.

As the weather forecast was of a rainy day, he didn’t forget to sneak an umbrella beneath his bag.