RRB Group D Mock Test - 23

Squander is synonym of Fritter.

Similarly, Invigorate is synonym of Rejuvenate.

The pattern is as follows –

Similarly,

The given relation is:

13 : (13)² + 3 = 13 : 172

Similarly,

23 : (23)² + 3 = 23 : 532

The given cyclic order series follows the below pattern:

‘aabaa’

aabaa|aabaa|aabaa

The given sequence is a combination of two series –

(I) 1^st, 3^rd, 5^th, 7^th, 9^th, 11^th terms, i.e., A, B, C, D, E

(II) 2^nd, 4^th, 6^th, 8^th, 10^th terms, i.e., B, D, F, H

Therefore in series (I) next term will be F and in series (II) next term will be J.

Therefore, option (a) is the right answer.

As, ‘+’ means ‘÷’, ‘÷’ means ‘×’, ‘×’ means ‘-‘, ‘-‘ means ‘+’

Therefore, the given expression: 34 + 17 ÷ 9 × 3 – 54 can be rewritten as:

34 ÷ 17 × 9 – 3 + 54 = 69.

As per the given equation, there can be two cases as shown below. Hence, Surekha’s father’s mother’s son’s wife may be Surekha’s mother or aunt. Therefore, relationship cannot be determined.

The lady in the picture is daughter – in – law of Manisha.

As door of Shubham’s house faces East and he starts walking from the back side of his house, that means he starts walking in West direction.

Therefore, he is in north – west direction from the starting point.

The required region is the one which is common to triangle and circle but not rectangle i.e., 5.

Conclusion I: Some raft are ships: FOLLOWS: It is definite.

Conclusion II: All ships are raft: Not Follows: It is not definite.

Conclusion III: All boats are ships: Not Follows: It is not definite.

Conclusion I: No nails are boxes: FOLLOWS: It is definite.

Conclusion II: No hammers are nails: FOLLOWS: It is definite.

Conclusion III: No boxes are rings: FOLLOWS: It is definite.

Clearly, India can export only the surplus and that which can be saved after fulfilling its own needs, to pay for its imports. Encouragement to export cannot lead to shortages as it shall provide the resources for imports. So, only argument I holds.

Clearly, harnessing solar energy will be helpful as it is an inexhaustible resource unlike other resources. So, argument I holds. But argument II is vague as solar energy is the cheapest form of energy.

In all others except (64, 83) the two given numbers are squares of consecutive natural numbers.

Except Param Veer Chakra, all others are civilian awards.

From the given information we get position of Sanket as 40^th. Therefore, minimum number of students possible in the row = 40.

No such information is given in the question from which we can calculate the total strength.

The arrangement of given words as per dictionary is – Delight, Demon, Disarm, Dislocate.

Thus, third word in alphabetical order as in dictionary will be: Disarm

The arrangement of given words as per dictionary is – Fantastic, Fantasy, Farming, Fathom.

Thus, second word in alphabetical order as in dictionary will be: Fantasy

As per the formula,

Required days = (30 * 15 * 10) / (30*15 + 15*10 + 10*30) = 4500 / 900 = 5 days

Let work done by 1 man in 1 day be x

Also, work done by 1 boy in 1 day be y

Then, 6x + 8y = 1/10

Also, 26x + 48y = 1/2

Solving these two equations, we get,

x = 1/100 and y = 1/200

∴ 1-day work of 15 men and 20 boys = 15/100 + 20/200 = 1/4

=> 15 men and 20 boys can do the work in 4 days.

(3x + 4y) / (4x + 3y) = (3x/y + 4) / (4x/y + 3) [Dividing numerator and denominator by y]

= (3*(4/5) + 4) / (4*(4/5) + 3) = 32/31

Here, a = 50m, b = 78m and c = 112m

S = (a + b + c)/2 = (50 + 78 + 112)/2 = 120m

∴ S – a = 120 – 50 = 70m

S – b = 120 – 78 = 42m

S – c = 120 – 112 = 8m

Now, Area = √[s*(s-a)(s-b)(s-c)] = √(120 * 70 * 42 * 8) = 1680m²

Also, Area = (base * perpendicular) / 2

1680 = (112 * P) / 2

=> P = 30m

Perimeter of circle = Perimeter of rectangle

i.e., 2πr = 2*(l + b)

2πr = 2*(18 + 26)

2 * 22/7 * r = 88

=> r = 14

∴ Area of circle = πr² = π*14² = 616cm²

A = πr²

The area is decreased by 36%

=> remaining area = 0.64 A

Suppose the remaining radius = x times of r

∴ 0.64A = π(xr)² = x²πr²

0.64 A = x² * A

=> x² = 0.64

i.e., x = 0.8 times of r is remaining

=> Radius decreases by 20%

Principal (P) = Rs.25625

Rate (r) = 16/2 = 8%

Time = 1 year = 2 half years

∴ A = 25625 * (1 + 8/100)² = 25625 * (27/25) ²

A = Rs.29889

=> CI = A – P = 29889 – 25625 = Rs.4264

Sum of ages of first 10 students = 10 * 12.5 = 125

And, Sum of ages of other 20 students = 20 * 13.1 = 262

=> Average age of whole class = (125 + 262) / 30 = 387/30 = 12.9 years

Sum of 10 numbers = 10 * 40.2 = 402

1^st number added is 18 more than actual number, So, 18 must be subtracted

Also, 2^nd number added is 13 instead of 31, So, 13 should be subtracted and 31 should be added

=> Actual sum of 10 numbers = 402 – 18 – 13 + 31 = 402

=> Actual average = 402 / 10 = 40.2

Let CP of 1 Pen be x

Since SP of 20 Pen = CP of 15 Pen

i.e., SP of 1 Pen = CP of (15/20) Pen

∴ SP of 1 Pen = (15/20)x = (3/4)x

=> Loss = CP – SP = x - (3/4)x = x/4

=> Loss % = ((x/4)/x) * 100 = 25%

Let the Marked Price be Rs.x

After a consecutive discount of 20% and 10%,

Selling Price = x * (80/100) * (90/100) = (72/100) * x

=> Single discount = x - (72/100) * x = (28/100) * x = 28%

Here unit digits will repeat as 2, 4, 8, 6 after every four intervals till 60. Next 61 will be 2, 62 will be 4 and 63 will be 8.

So, the unit digit of 2⁶³ = 8

(3/7) * (4/5) * (5/3) * (7/5) * 900 = (4/5) * 900 = 720

12(* 1 =), 12(* 2 =), 24(* 3 =), 72(* 4 =), 288(* 5 =), 1440

13(+ 9 =), 22(+ 10 =), 32(+ 11 =), 43(+ 12 =), 55(+ 13 =), 68

15(* 2 =), 30(÷ 3 =), 10(* 4 =), 40(÷ 5 =), 8(* 6 =), 48

Total quantity of water (A + B) = 40% of 5L + 75% of 4L = 2L + 3L = 5L

50% of 6L + 75% of 8L = 3L + 6L = 9L

60% of 5L + 25% of 4L + 50% of 6L + 75% of 8L = 3 + 1 + 3 + 6 = 13L

64 – 8 * 2 ÷ 6 = 64 ÷ 8 + 2 * 6 = 8 + 12 = 20

3 * 36 – 6 ÷ 2 + 3 = 3 + 36 ÷ 6 * 2 – 3 = 3 + 6 * 2 – 3 = 3 + 12 – 3 = 12

Downstream speed = 28/4 = 7km/hr

Upstream speed = 12/6 = 2km/hr

Suppose, Speed of Boat in still water = x km/hr

And, Speed of Stream of river = y km/hr

Then, x + y = 7

And, x – y = 2

Solving these two equations, we get,

x = 4.5 and y = 2.5

=> Speed of Boat in still water= x = 4.5km/hr

Another train is moving in same direction.

Then, Length to be covered = 100 + 150 = 250m

And Relative Speed = 60 – 40 = 20km/hr

=> Required time = 250 / (20 * 5/18) = (250 * 18) / (20 * 5) = 45 secs

27x³ – 54x² + 36x – 8 = 0

(3x)³ + 3*(3x)²*(-2) + 3*(3x)*(-2)² + (-2)³ = 0

(3x – 2)³ = 0 [Using, (a + b)³ = a³ + 3a²b + 3ab² + b³]

=> 3x – 2 = 0

Hence, x = 2/3

Since, Sin Ѳ = 12/13

Cos² Ѳ = 1 – Sin² Ѳ = 1 – (12/13)²

= 1 – (144/169) = 25/169

=> Cos Ѳ = 5/13

Hence, Sec Ѳ = 1/Cos Ѳ = 1/ (5/13) = 13/5

And, Tan Ѳ = Sin Ѳ/Cos Ѳ = (12/13) / ( 5/13) = 12/5

=> Sec Ѳ + Tan Ѳ = 13/5 + 12/5 = 25/5 = 5

Amino acids that are the building blocks of protein that our body can't produce by itself .

In SI units, the Planck’s is expressed in joule-seconds (js).

Thomson's Model of an Atom J. J. Thomson proposed that an atom was a solid sphere of positively charged material and the negatively charged particles, electrons, were embedded in it like the seeds in a watermelon.

Lassa fever is an acute and often fatal viral disease, with fever, occurring chiefly in West Africa. It is usually acquired from infected rats.

In 1897, Thomson set out to prove that the cathode rays produced from the cathode were actually a stream of negatively charged particles called electrons.

In 1924, the French physicist, Louis de Broglie suggested that if light has electron, behaves both as a material particle and as a wave.

Paul Villard, a French physicist working in Paris at the same time as Marie and Pierre Curie, is credited with discovering gamma rays

H5N1 is a type of influenza virus that causes a highly infectious, severe respiratory disease in birds called avian influenza (or "bird flu").

For recording the intensity of an earthquake Seismometer is used.

The molecular formula of heavy water is D₂O .

Nitrogen gas is least soluble in water and Carbon dioxide is most soluble in water.

Malachite is a green copper carbonate hydroxide mineral with a chemical composition of Cu₂(CO₃)(OH)₂. It was one of the first ores used to produce copper metal.

Nitrogen is used. It is an inert gas so high pressures and temperatures do not affect it as with air.

Tetraethyl lead was used is gasoline until the 1970's. It was out banned because the lead was causing birth defects, health problems, and poisoning the environment.

18-karat gold is 18 parts gold, 6 parts another metal (forming an alloy with 75% gold).

Paleontology is the study of the history of life on Earth as based on fossils. Fossils are the remains of plants, animals, fungi, bacteria, and single-celled living things that have been replaced by rock material or impressions of organisms preserved in rock.

In children and adults, symptoms of vitamin D deficiency include bone pain or tenderness, dental deformities, impaired growth, increased bone fractures, muscle cramps, short stature, and skeletal deformities such as rickets

Rubber is unaffected by water but easily soluble in benzene, toluene, xylene, gasoline, carbon tetrachloride, chloroform, carbon disulfide, and cyclohexane. Sulfur is the most widely used vulcanizing agent for natural rubber.

When a bullet is shot vertically upward its kinetic energy is converted into potential energy.

Prime Minister Narendra Modi and visiting French President Emmanuel Macron jointly inaugurated 75-megawatt solar power plant at Dadar Kala village in Mirzapur district of Uttar Pradesh. The largest solar projects in the country has been set up by French company ENGIE.

Rajasthan assembly has passed an amendment bill awarding death penalty for convicts involved in the rape of girls below 12 years of age. State Home Minister Gulab Chand Kataria introduced 'The Criminal Laws (Rajasthan Amendment) Bill, 2018' in the assembly, which was passed in the House by a voice vote following a debate.

The 2018 Asian Games the 18th Asian Games and commonly known as Jakarta Palembang 2018, is a pan-Asian multi-sport event scheduled to be held from 18 August to 2 September 2018 in Indonesia.

India's tallest national flag was unfurled in Belagavi (also known as Belgaum) in Karnataka.

The Asian Development Bank (ADB) and the International Solar Alliance (ISA) has signed a cooperation arrangement to promote solar energy deployment in Asia and the Pacific.

World Environment Day occurs on 5 June every year and is the United Nations' principal vehicle for encouraging worldwide awareness and action for the protection of our environment.

The Government of India Act,1935 was originally passed in August 1935 and is said to be the longest Act (British) of Parliament ever enacted by that time. Because of its length, the Act was retroactively split by the Government of India Act, 1935, into two separate Acts.

Legendary Indian architect Balkrishna Doshi (90), a pioneer of low-cost housing design has won the prestigious Pritzker Prize, considered architecture field’s Nobel. He is 45th Pritzker laureate and first from India to receive it.

Pune-born Indian engineer Vikas Sathaye was awarded Scientific and Engineering Academy Award at Oscars Scientific and Technical Awards 2018. He was bestowed award along with his three other teammates for their contribution towards conceptualisation, design, engineering and the implementation of the ‘Shotover K1 Camera System’.