RRB JE CE (CBT I) Mock Test- 2

10 x s x s/100 = 1000

s2 = 10,000 s = 100

Each student got 10 x 100/100

=> 10 chocolates

=> CP/SP - 5 / 4…(1)

From equation (1) we can see that CP >SP, therefore there will be loss. Let the CP = 5 and SP = 4 Then Loss = 1

Loss% = loss/CP x 100

= 1/5 x 100

= 20% loss

Overall percentage of marks obtained by Ankit in all the five subjects

= (120 + 100 + 30 + 70 + 100)/700 x 100

= 420/700 x 100

= 60%

Overall percentage of marks obtained by Sujal in all the five subjects

= (180 + 80 + 40 + 90 + 150)/700 x 100

= 540/700 x 100

= 540/7%

Required ratio = 60 : 540/7

= 420 : 540

= 7 : 9

2 x Area of rhombus = (First diagonal x Second diagonal)

Let its second diagonal = (a + b√5) cm

(14 + 13√5) = (3 + 2√5) x (a + b√5)

(14 + 13√5) = (3a + 3b√5 + 2a√5 + 10b)

After comparing-

(3a + 10b) = 14 ...... (1)

(2a + 3b) = 13 ....... (2)

From (1) and (2)-

a = 8 and b = -1

Length of second diagonal = (a + b√5) = (8 - √5) cm

= (35 ÷ 7) + (225 - 210) - 25

= 5 + 15 - 25

= -5

Hence, 7 pipes of first set can fill 1/10th of the vessel in 1 min.

5 pipes of second set can fill 2/5th of the vessel in 5 minutes

Hence, 5 pipes of second set can fill 2/25th of the vessel in 1 min.

10 pipes of third set can empty 1/3rd of the vessel in 10 minutes.

Hence, 10 pipes of third set can empty 1/30th of the vessel in 1 min

So, if all the pipes are open in one minute 1/10 + 2/25 - 1/30 = 11/75th of the vessel is filled up.

Hence, to fill up the whole vessel, time required= 75/11 minutes.

Mass numbers of some common elements-

Neon- 20

Sodium- 23

Silver- 108

20% of x = 1080

x = 5400

SP = 125% of 5400 = 6750

185 + 3P = 245

3P = 60

P = 20

Mean marks of first 5 students = [78 + 24 + (4P - 8) + 44 + 48]/5 = (186 + 4P)/5 = 266/5

= 53.2

√[(5² + 11) x 10^-6] = 6 x 10^-3 = 0.006

(0.06 ÷ 10²) = 0.0006

√0.000036 = 0.006

According to the 1^st condition; m/n + 11/30= n/m ...(1)

According to the 2nd condition; (m - 1)/n = ⅔

=> 3m - 3 = 2n

=> 3m - 2n = 3 ...(2)

By solving equation 1,

=> 30m² + 11mn - 30n² = 0

=> (6m - 5n)(5m + 6n) = 0

we get the value of m/n = 5/6, -6/5

applying condition(2), m/n = (5 - 1)/6 = 4/6 = 2/3

Hence the required fraction = m/n = 5/6

Hence amount of interest Suresh will get in first year = 500/2 = Rs. 250

If the same amount is invested and interest rate is same then in first year the interest obtained is same whether it is simple interest or compound interest.

Hence compound interest obtained in 1^st year = Rs. 250

Therefore amount of interest obtained in the 2^nd year = Rs. (525 - 250) = Rs. 275

Hence rate of interest = 100 x (275 - 250)/250 = 10%

Average = 150/5 = 30

Average number of presence of employees in company Q on all the five working days = 24 + 16 + 50 + 28 + 62 = 180

Average = 180/5 = 36

Required sum = 30 + 36 = 66

[(0.09)² x (0.3)⁸ x (0.027) x 10¹²] = [3¹² x (0.3)^x]

[(0.3)⁴ x (0.3)⁸ x (0.3)³] = [(0.3)¹² x (0.3)^x]

(0.3)¹⁵ / (0.3)¹² = (0.3)^x

(0.3)³ = (0.3)^x

x = 3

S.P. of pen for Sita = Rs 150 - 90 + 120 = 180

Profit % = [(180 - 100)/100] x 100 = 80%

Hence; 1200/N = A .. (1)

According to the 2nd condition; 1200/(N - 100) = A + 2/5 .. (2)

Equation (2) - Equation (1); 1200/(N - 100) - 1200/N = 2/5

If we will try to solve this equation then it will become too lengthy. Hence such questions we should solve by using the options.

Out of the given options, option (c) satisfies above equation.

Hence; N = 600 km/hr

=> (12x² - 1)/3x = 9

=> 12x² - 1 = 27x ------- (i)

Now,

(144x⁴ - 1)/(27x² + 2x)

= [(12x² - 1)(12x² + 1)]/[x(27x + 2)] ------- [(a² - b² = (a - b)(a + b)]

= [27x(27x -1 + 1 +1)]/[x(27x + 2)] ---- {Putting the value of equation (i)]

= [27x(27x + 2)]/[x(27x + 2)]

= 27

= (cos³ x/sin³ x) sin² x + cos² x cot³ x

= cot³ x sin² x + cos² x cot³ x

= cot³ x (sin² x + cos² x)

= cot³ x

=> 5A + 5B = 6A - 6B => A = 11B

=> Let p% of B is equal to A

=> p/100 x B = A

=> But B = 11A

[Sum of opposite angle of a cyclic quadrilateral is 180⁰.]

∠ROQ = 180^∘ − ∠POR = 180⁰ − 115^∘ = 65^∘

In △QOR, ∠OQR = ∠ORQ [Angles opposite or same side] ∠ROQ + ∠OQR + ∠ORQ = 180^∘

65⁰ + ∠ORQ + ∠ORQ = 180^∘

∠ORQ = (180⁰ − 65^∘)/2 = 57.5^∘

According to questions:

a(a + d) = 2160 ...... (1)

(a - d) + a + (a + d) = 135

a = 45

From equation (1)

45(45 + d) = 2160

(45 + d) = 48

d = 3

Required ratio = (a - d) : (a + d) = 42 : 48 = 7 : 8

= 3[{(√9 + √8) - (√9 - √8)}/(√9 - √8)(√9 + √8)] + (2 - 3√2)²

= 3[2√8] + (2 - 3√2)²

= 6√8 + (4 + 18 - 12√2)

= 12√2 + (22 - 12√2)

= 22

294 + A = 343

A = 49 kg

Arrange the weights in ascending order = 42, 45, 48, 49, 50, 54, 55

Median of their weights = 4^th term in series = 49 kg

22x + 22y = 682

x + y = 31 → (1)

22x x 22y = 2376 x 22

xy = 108 → (2)

Solving (1) and (2), we get

x = 27 and y = 4

Difference = 22x - 22y

= 22(27 - 4)

= 22 x 23

= 506

(A) Amount of milk and water in first mixture is 60 x (7/12) = 35 litres and 60 x (5/12) = 25 liters respectively.

(D) Amount of milk and water in second mixture is 40 x (3/8) = 15 liters and 40 x (5/8) = 25 liters respectively.

(B) Total amount of milk and water is final mixture is (35 + 15) = 50 litres and (25 + 25) = 50 liters respectively.

(E) Cost price of final mixture = 50 x 1 = 50 and selling price of final mixture = 100 x 1 = 100

(C) Per cent profit earned = [(100 - 50)/50] x 100 = 100%

⇒ cosec θ - cot θ = 1/k

On adding, we get

2 cosec θ = k + 1/k = 2(x + 1/4x) = k + 1/k

⇒ x + 1/2x = k + 1/k ⇒ k = 2x

⇒ present age of K is 63 - x

7 years later

R's age = x + 7

K's age = 63 - x + 7= 70 - x

⇒ (x + 7) / (70 - x) = 7 / 4

⇒ 4x + 28= 490 - 7x

⇒ 11x = 462

⇒ x = 42 years

therefore present age of R = 42 years

Days taken by 1 girl to embroider a dress = 9 x 5 days

Days taken by 3 girls to embroider a dress = 9 × 5/3 days = 15 days

SIMILARLY

answer figure A is embedded in problem figure.

1. Key

3. Lock

2. Door

4. Room

5. Switch on

A is the correct mirror image.

There is no ‘L’ in the given word.So, NATIONAL cannot be formed.

There is no ‘V’ in the given word.So, DEVIATION cannot be formed.

343 = 7 × 7 × 7

64 = 4 × 4 × 4

27 = 3 × 3 ×3

15 * 24 * 3 * 6 * 17

After applying, + ÷ – =

15 + 24 ÷ 3 – 6 = 17

⇒ 15 + 8 – 6 = 17

⇒ 23 – 6 = 17

⇒ 17 = 17.

Hence, only option (d) is correct.

Hence option D is correct.

SAME WAY

There is only one ‘S’ in the given word. So, RESPONSE cannot be formed.

1st series:

2nd series:

∴ only Conclusion II follows

Similarly,

60 x 5 = 300

Thus there are 23 triangles.

AEF, AGF, DEF,

AED, AEG, GJF,

GJH, GFH, FGD,

FDH, FJD, JHD,

GHD, GBH, BHC,

GBC, BCD, DCH,

GED, GDC, ADB,

AGD, BGD

As,

SIMILARLY

Hence option D is correct.

• Hindu Marriage Bill tabled in Pakistan’s National Assembly.

• The bill was approved by the standing committee in 2016.

• The bill is expected to put an end to the practice of abduction of married Hindu women.

• The bill is also expected to curtail forced conversions because it will allow the registration of Hindu marriages in the relevant government departments.

It is not possible to construct an engine that does nothing but convert heat into useful work.

If some of the heat must go into raising the temperature of a sink, not all of it can be converted into work.

If work is being done by the heat engine, the object on which work is being done is not isolated from the heat engine. Unless it is at the same temperature as the heat source, heat will flow conventionally from the heat source to the object on which work is being done, and the object's temperature will rise.

Saccharin is often blended with other artificial sweeteners to compensate for each sweetener's weaknesses.

The electric dynamo uses rotating coils of wire and magnetic fields to convert mechanical rotation into a pulsing direct electric current through Faraday's law of induction

Chalcopyrite is the chief ore of copper.

The most. common silver-bearing minerals recovered by flotation are argentiferous galena, native silver, argentite (Ag₂S) and tetrahedrite (Cu, Fe, Ag) Sb₄S₃).

Isobars are atoms having same mass number but different atomic numbers.

Isotones are atoms of different elements having same number of neutrons.

Microbiology is the study of microscopic organisms, such as bacteria, viruses, archaea, fungi and protozoa. This discipline includes fundamental research on the biochemistry, physiology, cell biology, ecology, evolution and clinical aspects of microorganisms (of which Virology may be a part of)

Morphology is the study of forms and features of different part of plants like roots, stems, leaves flowers etc.

Cytokinins are a class of plant growth hormones that promote cell division in plant roots and shoots. They affect apical dominance, axillary bud growth, and leaf senescence

Gibberellin is a type of plant and fungal hormone. Gibberellin can overcome dormancy in seeds, extend the length of cells and encourage division, and even has hormonal and signalling roles in the fruiting and senescence processes.

For Example- The Sun is a main-sequence star, and thus generates its energy by nuclear fusion of hydrogen nuclei into helium. In its core, the Sun fuses 620 million metric tons of hydrogen each second.

These compounds are non-conductors of electrical charge due to the absence of charged ions.

They are bad conductors of heat also. Their molecules lack free electrons and that obstructs the flow of heat energy.

The thyroid makes two hormones that it secretes into the blood stream.

These hormones are necessary for all the cells in your body to work normally.

The brain and heart are composed of 73% water, and the lungs are about 83% water. The skin contains 64% water, muscles and kidneys are 79%, and even the bones are watery: 31%.

Water serves several essential functions to keep us all going:

- A vital nutrient to the life of every cell, acts first as a building material.

- It regulates our internal body temperature by sweating and respiration

- The carbohydrates and proteins that our bodies use as food are metabolized and transported by water in the bloodstream;

- It assists in flushing waste mainly through urination

- acts as a shock absorber for brain, spinal cord, and foetus, forms saliva & lubricates joints

T=2π√(l/g)

P = power

So, 60 = I x 240

I = 60/240

Therefore, I = 0.25 A

A system that expands under adiabatic conditions does positive work, so the internal energy decreases, and a system that contracts under adiabatic conditions does negative work, so the internal energy increases.

A voltmeter is an electronic instrument used to measure potential between any two points in an electric or electronic circuit in volts

Odometers are used to calculate distance travelled in a vehicle, used along speedometers.

The acceleration due to gravity:

- Decreases on account of rotation of the earth.

- Increases with the increase in the latitude of the place.

Kirchhoff's current law states that current flowing into a node (or a junction) must be equal to the current flowing out of it. This is a consequence of charge conservation. Kirchhoff's voltage law states that the sum of all voltages around any closed loop in a circuit must equal zero.

Stefan-Boltzmann law, statement that the total radiant heat energy emitted from a surface is proportional to the fourth power of its absolute temperature.

The primary purpose of plasma is to transport nutrients, hormones, and proteins to the parts of the body that need it. Cells also deposit their waste products into the plasma. The plasma, in turn, helps remove this waste from the body. Blood plasma also ushers the movement of all the elements of blood through the circulatory system.

Lattice energy is relevant to many practical properties including solubility, hardness, and volatility.

Hydration energy is the amount of energy released when one mole of ions undergo hydration which is a special case of solvation. It is a special case of dissolution of energy, with the solvent being water.

Since escape velocity depends on the mass of the planet or moon that a spacecraft is blasting off of, a spacecraft leaving the moon's surface could go slower than one blasting off of the Earth, because the moon has less gravity than the Earth.

Seismology is the study of earthquakes and seismic waves that move through and around the earth

Psychology is the scientific study of the mind and behaviour. Psychology is a multifaceted discipline and includes many sub-fields of study such areas as human development, sports, health, clinical, social behavior and cognitive processes.

Applications include-

- Measuring depth of sea (SONAR)

- Sterilizing Medical equipment

- Cleaning the various industry specific Machinery parts

An artificial ecosystem is not self-sustaining, and the ecosystem would perish without human assistance. For example, a farm, an aquarium etc.

The biosphere is a global ecosystem composed of living organisms (biota) and the abiotic (non-living) factors from which they derive energy and nutrients extending from a few kilometres into the atmosphere to the deep-sea vents of the ocean.