CEA GATE Exam Series Quiz!

If XY + Z = X(Y + Z) which of the following must be true?

• X = 0 AND Z = 0

• X = 1 AND Y = 0

• Y = 1 AND Z = 0

• X = 1 OR Z = 0

What is the number missing from the table?

• 45

• 48

• 51

• 54

ARCHIPELAGO : ISLAND

• Link : chain

• Necklace : bead

• Poem : anthology

• Book : encyclopedia

Until now only injectable vaccines against Swine Flu have been available. They have been primarily used by older adults who are at risk for complications from Swine Flu. A new vaccine administered in an oral form has proven effective in preventing Swine Flu in children. Since children are significantly more likely than adults to contract and spread Swine Flu, making the new vaccine widely available for children will greatly reduce the spread of Swine Flu across the population.          Which of the following, if true, most strengthens the argument? ​

• If a person receives both the oral and the injectable vaccine, they do not interfere with each other

• The new vaccine uses the same mechanism to ward off Swine Flu as injectable vaccines do

• Government subsidies have kept the injectable vaccines affordable for adults

• Many parents would be more inclined to have their children vaccinated against Swine Flu if it did not involve an injection

• None

Four friends Rishabh, Keshav, Lavish and Hemang are out for shopping. Rishabh has less money than three times the amount that Keshav has. Lavish has more money than Keshav. Hemang has an amount equal to the difference of amounts with Keshav and Lavish. Rishabh has three times the money with Hemang. Each of them has to buy at least one shorts, or one sleeper, or one sleeveless t-shirt, or one goggle that is priced 200, 400, 600, and 1000 a piece, respectively. Lavish borrows 300 from Rishabh and buys a goggle. Keshav buys a Sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. Rishabh buys three shorts. What is the costliest item that Hemang could buy with his own money?

• A shorts

• A sleeper

• A sleeveless t-shirt

• A goggles

I wouldn’t _______ with a soldier who was wearing a metal _______, awarded for a display of _______. The words that best fill the blanks in the above sentence are:

• Meddle, mettle, medal

• Meddle, medal, mettle

• Medal, meddle, mettle

• Mettle, meddle, medal

There are three basket of fruits. First basket has twice the number of fruits in the second basket. Third basket has 3/4 th of the fruits in the first. The average of the fruits in all the basket is 30. The number of fruits in the first basket is  

• 20

• 30

• 40

• 50

A paper sheet is in the shape of a right angle triangle and cut along a line parallel to hypotenuse leaving a smaller triangle. There was 25% reduction in the length of the hypotenuse of the triangle. If area of triangle initially was 28 cm² then area of smaller triangle will be ______ cm².

• 5

• 15

• 25

• 35

A drinks machine offers three selections - Tea, Coffee or Random but the machine has been wired up wrongly so that each button does not give what it claims. If each drink costs 50p, how much minimum money do you have to put into the machine to work out which button gives which selection?

• 50 p

• 10 p

• 25 p

• Infinity

Let A and B be two 3 × 3 matrices such that A ≠ B, A² = B², AB = BA and A² + 2A + I = 0 where I is the identity matrix. Let |T| denote the determinant of any matrix T. Then

• |A| ≠ 0 and |A + B| = 0

• |A + B| ≠ 0 and |A| = 0

• |A| ≠ 0 and |A + B| ≠ 0

• |A| = 0 and |A + B| = 0

The positive value of A for which the equation f(x,y) = x² + y² + Axy + 5x + 18, does not yields optimum values (i.e. no conclusion can be drawn on the nature of f(x,y) ) and required further investigation

• 1

• 2

• 3

• 4

Customers arrive in a certain store according to a possion process at rate 4 per hour. Given that the store opens at 9.00 am what is the probability that exactly 1 customer has arrived by 9:30

• 2e^-2

• 4e^-4

• 4e^-2

• 2e^-4

The differential equation 4yy’ - 12x = 0, satisfying condition y (1) = 3. Then the point (5, 3) will lie:

• On the solution curve

• Outside the solution curve

• Inside the solution curve

• Can-not say

For a certain distributed data, the middle observation is 10 and mean observation is 8. The maximum occurring data is

• 7

• 14

• 24

• Cant determine

As per IS 456:2000, the diagonal tension failure in RCC beams depends upon:

• Grade of concrete and Percentage of transverse reinforcement provided.

• Grade of concrete and Steel only

• Grade of steel and percentage of longitudinal reinforcement provided

• Grade of concrete and percentage of longitudinal reinforcement provided

The technique utilized for the disposal of biomedical waste​, in which it is in contact with steam under controlled pressure and temperature condition with the end goal to complete sterilization is

• Thermal Pyrolysis

• Shredding

• Autoclaving

• Pulverization

As per Indian Road Congress (IRC) the stripping value of aggregate should not exceed X% for the use in bituminous surface dressing, penetration macadam, bituminous macadam, and carpet construction when aggregate coated with bitumen is immersed in water bath at Y^oC for Z hours. The value of X, Y and Z will, respectively, be

• 2, 25, and 48

• 10, 30, and 24

• 5, 30, and 48

• 5, 40, and 24

The laboratory test results of the soil sample are given below: Liquid limit = 37% Plastic limit = 22% % passing through 75 μ sieve = 26% % retained over 4.75 mm IS sieve = 65% % retained over 0.075 mm but passing through 4.75 mm = 26% As per IS 1498 – 1970, the soil is classified as:

• GC

• SC

• CI

• GM

What will be range of plasticity index for the fine grained soil below A - line having intermediate compressibility in the plasticity chart.

• 10.5 ≤ I_p ≤ 21

• 10.95 ≤ I_p ≤ 21.9

• 0 ≤ I_p ≤ 1

• 18.25 ≤ I_p ≤ 29.2

A tank full of water is shown in figure below, Assume width of tank to be 1.5m. Identify the correct statement made:

• Hydrostatic Paradox occurs in the tank

• No Hydrostatic Paradox occurs in the tank

• Hydrostatic Paradox occurs in the tank as the ratio of weight of water in the tank to pressure at the bottom of the tank is more than 1.

• Hydrostatic Paradox occurs in the tank as the ratio of weight of water in the tank to pressure at the bottom of the tank is equal to 1.

Consider the following Statement: P) Creep or creep length is the length of the path travelled by the percolating water. Q) The head loss per unit length of creep is constant throughout the percolating passage. R) There is no difference between horizontal and vertical creep. Which of the following is not an assumption of Bligh Creep theory?

• P

• Q and R

• P,Q,R

• None

The static indeterminacy of the plane frame shown in figure below is?

• 7

• 8

• 9

• 10

A three hinge parabolic arch is subjected to uniformly distributed load as shown in figure below If there is an increase in temperature by 10°C, then the final change in rise of crown will be? Take coefficient of thermal expansion = 10 × 10^-6 per ° C.

• 1.5 mm (increase)

• 1.5 mm (decrease)

• 6 mm (increase)

• 6 mm (decrease)

Following statements are made with regard to temporary adjustment of a theodolite: P. Levelling is done before centring of a theodolite. Q. centring is done before levelling of a theodolite. R. After centring and levelling, the eye piece is to be focused to make the cross hairs distinct and clear. S. After focusing the eye piece, the objective is to be focused to bring the image of the object in the plane of cross-hairs.

• P-True, Q-False, R-True, S-False

• P-False, Q-True, R-True, S-True

• P-True, Q-False, R-True, S-True

• P-False, Q-True, R-false, S-False

He refraction correction required for taking a staff reading held at 3 km from the instrument is ______ cms.

• -70.65 cm

• 70.65 cm

• -10.08 cm

• 10.08 cm

The coefficient of restitution between a snooker ball and side cushion is 0.4. If the ball hits the cushion and then rebounds at an angle of 90° to the original direction then angle made by the ball with side cushion before and after impact will respectively be  

• 26.6° and 63.4° 

• 57.7° and 32.3° 

• 60° and 30°

• 45° and 45°

The float that can be used by an activity without affecting successor activities is

• Total Float

• Free Float

• Independent Float

• Interfering Float

As per Indian road congress, the suggested expression for the design of overlay thickness equivalent to granular material of WBM layer is Where, h₀ = thickness of granular or WBM overlay in mm D_c = characteristic deflection. D_a = allowable deflection The value of D_a if the projected design traffic is 450 to 1500 is

• 1.00 mm

• 1.15 mm

• 1.25 mm

• 1.50 mm

A flow fluid is represented as u = + 2xy, v = x² + 2, w = x² z. What will be the value of y-component of vorticity (in radians per unit time) at point (1, - 2, 0)

• 0

• 1

• -1

• None

A chlorine dose of 0.8 mg/L is added to treat 12 MLD water and to get 0.4 mg/L of residual chlorine. The bleaching powder requirement per month if it contains 40% of chlorine (in tonnes, up to two decimal place) will be

• 0.62

• 0.72

• 0.82

• 0.92

A beam of triangular cross-section is shown in figure below, ratio of the shear stress at neutral axis to the maximum shear stress in the cross-section will be_____(up to two decimel places).

• 0

• 0.66

• 0.88

• 1

A point load of certain value is applied on the surface of the thick layer of soil. At a 3 m depth at a radial distance of 1.5 m from the point load, what will be the ratio of Boussinesq’s influence factor to the westerguards influence factor.

• 1.4

• 1.6

• 1.8

• 2

A fixed beam of circular cross-section is subjected to a central point load W as shown in figure below. The plastic hinge length (in meters) will be ______.

• 0.625

• 0.25

• 0.5

• None

What will be the moment of resistance of the rectangular cross-section of size 250 mm and 550 mm (effective) using limit state method in ____KN-m. (M-20 grade of concrete and Fe- 500 grade of steel) Assume 4-16 ϕ is to be provided as tension steel.

• 145

• 155

• 165

• 185

Let A = (a_ij) be a 10 × 10 matrix such that a_ij = 1 for i ≠ j and a_ij = α + 1, where α > 0. Let λ and μ be the largest and the smallest eigenvalues of A, respectively. If λ + μ = 24, then α equals

• 5

• 6

• 7

• 8

Find the coefficient of x³ in the expansion of         about x = -1

The numerical value of the integral  

• Cos 1 + 1

• 1 – cos 1

• 1 – sin 1

• Sin 1 + 1

The solutions of the differential equation  a. y(x) = 1 b. c.  d. 

• Only a

• Both b & c

• Only c

• Only d

By using Simpson’s  rule find   by taking a width of 0.1

• 0.54

• 0.64

• 0.74

• 0.84

In a specific energy curve, discharge is increased from Q₁  to Q₂, keeping specific energy constant. If Y_A and Y_B are alternate depth corresponding to initial discharge Q₁. Y_C and Y_D, are alternate depth corresponding to discharge Q₂. Considering Y_A as supercritical depth and Y_C is subcritical depth. Which one of the following is true?

• Y_A > Y_B > Y_C > Y_D

• Y_A > Y_C > Y_D > Y_B

• Y_B > Y_A > Y_C > Y_D

• Y_B > Y_C > Y_D > Y_A

The different ionic concentration for a water sample is being shown below in a tabulated manner The total alkalinity and non-carbonate hardness (in mg/l as CaCO₃) respectively will be

• 125 and 0

• 200 and 0

• 125 and 100

• 200 and 100

A prestressed beam of size 250 × 400 mm deep is prestressed by 14 tendons of 6 mm diameter. The cable is located at 150 mm from bottom of the beam. If the initial prestress in the beam is 1250 N/mm². The loss of prestress due to elastic deformation and creep of concrete respectively will be? Assume: M-40 Grade concrete creep coefficient = 1.6 Modulus of elasticity = 2 × 10⁵ mPa. Neglect the effect due to dead load.

• 54.72 mPa and 87.55 mPa

• 37.13 mPa and 59.42 mPa

• 25.41 mPa and 40.65 mPa

• 42.30 mPa and 55 mPa

A 30 m chain was found to be 15 cm too short after chaining a distance of 2000 m. It was found to be 30 cm too short at the end of the days work after chaining a distance of 4000 m. Find the true distance if the chain was corrected before the commencement of the day’s work?

• 4000 m

• 3970 m

• 4020 m

• 3980 m

Consider the following Statement: P) Tie bars are installed in warping joints in cement concrete pavement. Q) Radius of the relative stiffness of cement concrete pavement depends on wheel loads. R) Base course is used in rigid pavements for prevention for pumping T) Dowels bars are provided at expansion joints and sometimes also at contraction joints in cement concrete pavement. For the above statement, the correct option is

•  P → False, Q → False, R → False, S → True

• P → True, Q → False, R → True, S → False

•  P → False, Q → False, R → True, S → True

• P → True, Q → False, R → False, S → True

A 10 m wide rectangular channel has a bed slope of 3.33 × 10^-3 and the Manning's coefficient 0.015. Water in the channel is flowing at a uniform depth of 3 m. At a particular section gradually varied flow (GVF) is observed and the flow depth is measured as 3.1 m. The GVF profile at that section is classified as

• M₁

• S₁

• M₂

• S₂

A primary sedimentation tank (PST) is to treat water for 0.1 million population living in a town with Surface Overflow Rate (SOR) of 50000 Litre/m²/d. The diameter (in μm) of the spherical particle which will have 95 percent theoretical removal efficiency in this tank is _______________.  Assume the Stokes’s Law is valid for the settling velocity of the particles in water. It is given that: Density of water = 997 kg/m³;  The specific gravity of particle = 2.72 Dynamic viscosity of water= 9.97 x 10^-4 m²/s

• 20-21

• 21-22

• 22-23

• 24-25

The following observations were taken with a transit theodolite The reduced level of the staff station P will be ______ m

• 290

• 291

• 293

• 295

The overtaking sight distance required on a highway is 250 m. The required clearance of obstruction (in meters, up to two decimal place) from centre line of a circular curve of radius 350 m and length 180 m is ________. (Assume two lane highway with d = 1.9 m.)

• 20

• 21

• 22

• 24