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# GATE CE Scholarship Test

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Question 1

The paying capacity of people who travel on routes connecting smaller towns is relatively low. Most successful airlines that operate in such regions have a large number of seats.
Which of the following can be inferred based on the information given above.

Question 2

Sonu invested 10% more than Mona. Mona invested 10% less than Raghu. If the total sum of their investment is ₹ 5780, how much amount did Raghu invest?

Question 3

The next term of the sequence 2, 3, 6, 7, 14, ......... is

Question 4

In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third questions with correct option. His overall score in the examination is 50%. The total number of questions in the paper are

Question 5

If 'Ax B' means 'A is son of B'
If 'A + B' means 'A is daughter of B
If 'A ÷ B' means 'A is wife of B'
If 'A- B' means 'A is father of B'
What will come in the place of the question mark (?) to establish that Q is mother of N in the expression
'N + O - P ? Q'

Question 6

How many triangles are there in the given diagram?

Question 7

If A and B together can complete a work in 12 days, B and C together in 15 days and C and A together in 20 days, then B alone can complete the work in?

Question 8

If LOSE is coded as 1357 and GAIN is coded as 2468, what do the figures 84615 stand for?

Question 9

A sum of money at compound rate of interest amount to Rs. 750 in 1st year and to Rs. 1000 in 2nd year. Find the sum:

Question 10

There are three girls G1, G2, G3 and three boys B1, B2, B3 in a school talk. The restriction is no two girls should speak together. If in an arrangement B1 speaks first and G3 speaks the last. what is the position of B2 and G2?

Question 11

Possibility of Ajay clearing an exam or failing in that exam are equal. Find the probability that Ajay will clear this exam at most once in 6 trials.

Question 12

A population consists of the five numbers . Calculate the mean & standard deviation of the population.

Question 13

Value of

Question 14

A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

Question 15

The function has?

Question 16

For the structure shown below, the vertical deflection at point A is given by

Question 17

For a simply supported beam under uniformly distributed load of w N/m, deflection at centre is δ. If the same beam is now fixed at both ends under same loading condition, what will be deflection at centre?

Question 18

Consider the following statements:

Assumptions made in theory of pure bending

1) The beam is initially straight and all the longitudinal fibres bend in circular arcs with common centre of curvature.

2) Members have symmetric cross-sections and are subjected to bending in the plane of symmetry.

3) Plane sections through a beam, taken normal to the axis of the beam remains plane after the beam is subjected to bending.

4) The radius of curvature is small as compared to the dimensions of the beam.

Which of the following statements is/are correct ?

Question 19

A rod of 50mm diameter and 1000mm length is hinged at both of its ends. The elastic modulus is 150 GPa and coefficient of linear expansion is 15×10-6/ . The temperature rise that wil be sufficient to buckle the rod will be ___________.

Question 20

The figure shows the state of stress at a certain point in a stressed body. The magnitude of shear stress is 59 MPa.

The ratio of maximum principal stress to maximum shear stress is

Question 21

Water at velocity 30 m/s strikes tangentially on the vane as shown in figure. Given inlet vane speed U1 = 10 m/s. Co-efficient of vane friction is 0.9 and water exit radially with velocity 13.36 m/s. If α   = 20°, θ = 30°. Calculate the angle of deflection (in degree).

Question 22

Following are the velocity profiles over a stationary surface

Select the correct option for the flow to be on the verge of separation.

Question 23

A fluid is flowing between two parallel fixed plates which are at a distance of 64 mm apart, given the drop of pressure in a length of 1600 mm is 4 kPa width of plate is 170 mm, viscosity of fluid 12 poise. Calculate the flow rate.

Question 24

Forced vortex flow, occurs in an open circular cylinder of 2 m radius & 10 m long. Contain water upto a height of 5.8 m. Calculate the maximum speed, at which cylinder is to be rotated, so that no water spills.

Question 25

A two-dimensional flow field has velocities along x and y direction given by u = x2 and v = −2xy, then equation of streamline is ___________.
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