All Competitive Exam Mock Test-13-(8.03.2021)-ORSP

x+y+z=1

=()()()

1-x=y+z

1-y=x+z

1-z=x+y

=()()()

=

by A.M., G.M. Inequality

....(1)

....(2)

....(3)

by multiply the equations

so (1-)(1-)(1-)

• 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.

• The Eastern Coastal Plains refer to a wide stretch of landmass of India, lying between the Eastern Ghats and the Bay of Bengal.
• These plains are wider and level as compared to the western coastal plains. It stretches from Tamil Nadu in the south to West Bengal in the north.
• Lake Chilika is an important feature along the eastern coast (The Chilika Lake is the largest salt water lake in India.
• It lies in the state of Odisha, to the south of the Mahanadi Delta). It is locally known as Northern Circars in the northern part between Mahanadi and Krishna rivers and Coromandel Coast in the southern part between Krishna and Kaveri rivers

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.

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.

 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 

● The Chauri-Chaura incident was the reason for calling off the non-cooperation movement.

● The Chauri-Chaura incident took place in February 1922.

● The Kakori conspiracy took place in 1925.

● Jallianwalabagh Massacre took place in 1919

● Dandi March took place in 1930.

Here the given words are coded by using the specific alphabet, like
for TIGER = BLACK

In similar way,
for LION = PLUM

By using the above codes of letters we get,

So,LITTERING = PLBBCKLMA
Hence, option B is the correct answer.

They will meet at LCM of 4, 6, 8, 16

4 = 2 × 2

6 = 2 × 3

8 = 2 × 2 × 2

16 = 2 × 2 × 2 × 2

LCM = 2 × 2 × 2 × 2 × 3

The LCM of these numbers is 48

So, they will meet after 48 sec.

So time taken by 18 women in completing the work= 

• Public Accounts Committee consists of 22 members, 15 members from Lok Sabha and 7 from Rajya Sabha. A Minister is not eligible for election to this Committee.

• From 1967, a convention is made that the chairman of PAC will be from the Opposition party.

• The current PAC is headed by Adhir Ranjan Chowdhury since July 2019.

Hence, option (D) is the correct response.

• The Siachen Glacier is the highest battleground on earth, where India and Pakistan have fought intermittently since 13 April 1984.

• Both countries maintain a permanent military presence in the region at a height of over 6,000 metres (20,000 ft.).

• The Siachen Glacier is located in the eastern Karakoram range in the Himalayas.

• It is the longest glacier in the Karakoram and second-longest in the world's non-polar areas.

• Mohammad Bin Tughluq introduced token currency.

• He was Sultan of Delhi form 1325 to 1351.

• He was the eldest son Ghiyas ud Din, who was the founder of Tughluq dynasty.

• Muhammad ascended to the Delhi throne upon his father's death in 1325.

• He issued token currency that is coins of brass and copper were minted whose value was equal to that of gold and silver coins.

He rides 8 hours at the speed of 31 km/hr

So distance covered in 8 hours = 31×8 = 248 km

Remaining distance = 661 - 248 = 413 km

So required speed = (413/7) = 59 km/hr.

• Article 126 - related to provisions of Acting Supreme court judges.

• Article 127 - related to provisions of Ad hoc Judges.

• Article 128 – related to provisions of Retired Judges.

• Article 129 - grants Supreme Court the power to punish for contempt of itself.

By squaring both sides

1-  = 

Hence, option A is the correct option.

Here, (840K + 3) should be divisible by 9. (840K + 3) can be written as (837K + 3K + 3)

For K = 2,
840K + 3 = 1680 + 3 = 1683 which is completely divisible by 9.

So, the code of Pearl is 53269.

Hence, option C is the correct answer.

Let the length and the breadth of the table is x and y meters respectively.

Then, Perimeter of the table = 2(x+y) m

2(x+y) = 34 m

x+y = 17 m ………… (1)

Area of the table = xy = 60 m² ……… (2)

We know, (x+y)² = x² + y² + 2xy

Then, from (1) and (2),

17² = x² + y² + 2×60

x² + y² = 289 – 120 = 169

Length of the diagonal = √( x² + y²) = √169 = 13 m

C : A = 1 : 1

* Akbar won Gujarat in 1572.

* In order to commemorate his victory Gujarat, Akbar buildBuland Darwaza at Fatehpur Sikri.

* Akbar built many monuments in Delhi and Agra.

* Some were built for protection, like Agra Fort, and some were built due to his love of architecture like Fatehpur Sikri, Buland Darwaza, Humayun's Tomb, Jodhabai Palace, and Akbar's Tomb.

• Battle of Haldighati in 1576 was fought between Mughal ruler Akbar and Rajpoot Maharana Pratap.
• Mansingh (Ruler of Amber, Rajasthan) led the Akbar Sena.
• It is one of the most important wars of the middle History.

* Elephant Festival is a festival celebrated in Jaipur city on the day of Holi festival.

* Elephants are embellished with vibrant colours, jhools and heavy jewellerys.

* Elephant polo, Elephant dance, Elephant races are major events in the festival.

Given,  of 

= 

=

=

= 

= 

=

The Ganga River flows maximum distance in Uttar Pradesh.

* The total length of Ganga River is 2,525 km. The distribution of Ganga flow state-wise is -

a. Uttarakhand- 110 kms

b. Uttar Pradesh -1,450 kms

c. Bihar- 445 kms

d. West Bengal- 520 kms

• 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.

= (40×3) + (44×4) − (42×6)

= 120 + 176 − 252 = 44

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.