All Competitive Exam Mock Test-10-(4.03.2021)-ORSP

Given cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm.

Volume of cylindrical vessel = πr²h = (22/7)×30×30×42 cm³

Volume of rectangular tub = length × breadth × height = 75 × 44 × height

A.T.Q.:

length × breadth × height = 75 × 44 × height

⇒ (22/7) × 30 × 30 × 42 = 75 × 44 × height
⇒ Height = (22/7) × 30 × 30 × 42 × (1/75) × (1/44) = 36 cm

Height (in cm) to which the water rises in the tub is 36 cm.

All three follows the same pattern as shown below:

But,

We can see from the figure that FG is the odd letter group.

Hence, option C is correct.

Given That,

Total money =Rs. 15000

P : Q =2 : 1

Q :R = 4 : 3

By making Q equal,

P : Q = 2×4 : 1×4

P : Q = 8 : 4

So,

P=8x

Q=4x

R=3x

Total money=15000

P+Q+R=15000

8x+4x+3x=15000

15x=15000

x=1000

Q got 4×1000= Rs. 4000

Therefore, option D is the right answer.

Here length of tangent = PQ = 12 cm

Given, OP = 13 cm

As the angle made by the tangent PQ with radius OQ is of 90°

Then by Pythagoras theorem:

OQ² = PO² − QP² = 13² − 12²

⇒ OQ = 5 cm

Hence, option B is the correct answer.

Conclusions:
I. Some radios are desks - True, it is a definite case.
II. Some radios are mirrors - True, it is a definite case.
III. Some desks are telephone - True, it is a definite case.
So, all follow.

Hence, option D is the correct response.

Relative speed with respect to each other = 20 + 25 = 45km/hr

Distance = Speed × Time = 45 x(56/60) = 42 km/hr

The place value of each alphabet is added and 2 is subtracted from the sum.

FUME = (6 + 21 + 13 + 5) - 2 = 45 - 2 = 43

TRAP = (20 + 18 + 1 + 16) – 2 = 55 – 2 = 53

Similarly,

RIMP = (18 + 9+ 13 + 16) – 2 = 56 – 2 = 54

Hence, option B is the correct answer.

• According to Indian Constitution, Chief Justice of India is the person in order after President and Vice President.
• So CJI acts as President in the absence of both.
• This Precedence has happened only once in Indian Political timeline when Md. Hidayatullah(then CJI) became President after death of Zakir hussain and subsequent resignation of VV Giri in 1969.

Speed of train = 

According to question

L = 25 × 25 = 625 meter

Hence, option (B) is the correct response.

 Let side of an equilateral triangle = a cm

Perimeter of an equilateral triangle = 30 cm

⇒ 3a = 30

⇒ a = 10 cm

height of the prism = 35 cm
Volume of prism = area of base × height
= ×10× 10 × 35
V = 875√3 

Conclusion I. Some doctors are players as well as actors. It is clear from the above diagram (true)

Conclusion II. All actors are doctors. It is a possibility, Hence not true.
Hence, option A is the correct answer.

⇒ 3251 + 587 + 369 - x = 3007

⇒ x = 3251 + 587 + 369 - 3007

⇒ x = 1200.

By squaring both sides

1-  = 

Hence, option A is the correct option.

Logic: Add the place value of each letter.

→ 10+21+4+7+5 = 47

Similarly,

→ 1+14+7+12+5=39

Hence, option B is the correct answer.

The series is:
as,
A - 9 = R
J - 7 = C
K - 5 = F
S - 3 = P
Similarly,
H - 9 = Y
N - 7 = G
R - 5 = M
D - 3 = A

Hence, option A is the correct answer.

● The Policy Of Paramountcy was introduced by Lord Hastings, who was the Governor General Of Bengal From 1813 to 1823. According to this policy, the company made false claims that its authority was superior to that of “Indian kings or Nawabs”.

● As the company's decisions were more supreme, it suggested the Indian states to surrender to the British and then Indian kings would have to administer their Kingdom as a Puppet ruler.

• Gangaur, Teej etc. are festivals of Rajasthan.

• These festivals are dedicated to Lord Shiva and Goddess Gauri.

• It is celebrated during the month of March-April.

• The unmarried women celebrate this festival for getting blessing of a good life partner.

• The oldest mountains in India according to geographical history are Aravallis.
• The Aravalli Range is the oldest Plateau mountains in India.
• The northern end of the range continues as isolated hills and rocky ridges into Haryana state, ending in Delhi.

Hence, option D is correct.

The Salem Steel Plant is located in Salem district in the Indian state of Tamil Nadu.

• The Salem Steel Plant produces cold-rolled stainless steel and a hot-rolled stainless-carbon steel alloy.

• The Plant is being expanded and modernized, in which steel-melting and continuous-casting facilities have been planned.

• The Salem Steel Plant was established in 1973.

• Sir Aurobindo was arrested in 1908 in relation to Alipore Bomb Case.

• The Alipore Case was a criminal case held in 1908 against a number of members of Anushilan Smiti under charges of ‘Wagging war against the government’.

 Let Numerator of the fraction = x

Denominator of the fraction = y

Condition 1: numerator is five less than the denominator

⇒ x = y – 5 ……….(1)

Condition 1: Four times the numerator is one more than the denominator

⇒ 4x = y+1…………..(2)

Put the value of x from (1) in (2)

⇒ 4(y-5) = y+1

⇒ 4y-20 = y+1

⇒ 3y = 21

⇒ y = 7

Put the value of y in (1)

⇒ x = 2

Hence, Required Fraction = 

* Nasik caves are also known as Pandav Leni.

* Nasik Caves is a group of 24 Buddhist caves located in Nasik, Maharashtra.

* They belong to hinyan sect of Buddhism.

In 1^st row: 

In 2^nd row: 

In 3^rd row: 

Hence, option A is the correct answer.

Conclusions :
I. All men are crazy - True, as it is a definite case.
II. All crazy are men - False, as it is not a definite case.
III. Some crazy are men - True, it is a definite case.
IV. Some crazy are women - True, it is a definite case.
Thus from the above Venn-diagram only I, III and IV follows.

Hence, option (C) is the correct response.

Hence, option (D) is the correct response.

Single equivalent increase for 20% and 20%

Again, single equivalent increase for 44% and 20%

Method 2

20% increase =  20/100 = 2/10

We know, the all sides of cube are of same dimension so they will increase in the same ratio.

so, Ratio of sides becomes,

Previously(a) : After(a’)

10 : 12

So, the volume will be,

a³ :  (a’)³

10³: 12³

1000 : 1728

So, percentage increase ==72.8%

Option D is correct.

Hence, the correct option is B.

• Al Beruni was Delhi Sultanate period scholar, he wrote- Tareek I Hind, Qanun I Masudi, and Jawahar fi Jawahir.

• He was from Khwarazm region. He was given the title "founder of Indology".

• A film about his life, Abu Raykhan Beruni, was released in the Soviet Union in 1974. He was also a Physicist, Mathematician and scholar of astronomy and natural science.

In an Economy, Economic agents are those individuals or institutions which take economic decisions.

• They can be consumers who decide what and how much to consume. They may be producers of goods and services who decide what and how much to produce.

• They may be entities like the government, corporation, banks which also take different economic decisions like how much to spend, what interest rate to charge on the credits, how much to tax, etc.

In each step, the element moves in 90° anti-clockwise direction.

Hence, option (A) is the correct response.