All Competitive Exam Important Mock Test-(16.03.2021)-ORSP

 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 

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.

The pattern is:

Similarly,

Hence, option A is correct answer.

Given,  of 

= 

=

=

= 

= 

=

● The entire northern plains of India are made of Alluvial Soils.

● Alluvium is loose, unconsolidated soil or sediment that has been eroded, reshaped by water in some form, and redeposited in a non-marine setting.

● Black soil in India is rich in metals such as Iron, Magnesium and Aluminum.

● Laterite is a soil and rock type rich in iron and Aluminium and is commonly considered to have formed in hot and wet tropical areas.

● Arid soils are the soils of desert or semi-desert regions and colors vary from red to brown. The soil has sandy texture and salinity.

Similarly, The changes from 5th to 6th will be,

Hence, option B is the correct response.

• The Parliament meets at Sansad Bhavan in New Delhi.

• The Sansad Bhavan is the house of the Parliament of India, which includes the Lok Sabha and the Rajya Sabha.

• Article 79 of the Indian constitution says that India will have a parliament for making laws to run the democratic set up of the country.

D/60 − D/80 = 11/2 hours

D = (11/2) ×240 = 1320 km

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:

‘+’ = ‘×’, ‘-’ = ‘+’,‘×’ = ‘÷’ and ‘÷’ = ‘-’

Expression given in the question-

3 × 2 + 4 – 2 ÷ 9

After replacement, expression becomes-

3 ÷ 2 × 4 + 2 – 9

Now simplify it,

=1.5 × 4 + 2 – 9

=6 + 2 – 9

=8-9

=-1

Hence, the correct answer is option D.

By squaring both sides

1-  = 

Hence, option A is the correct option.

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-)

The Panchprayags and Rivers which confluence in each prayag are as follow-

1. Vishnuprayag- Confluence of Alakhnanda and Dhauli Ganga.

2. Nandprayag- Confluence of Alakhnanda and Nadakini Rivers.

3. Karnaprayag- Confluence of Alakhnanda and Pinder Rivers.

4. Rudraprayag- Confluence of Mandakini and Alakhnanda Rivers.

5. Devprayag- Confluence of Alakhnanda and Bhagirathi Rivers.

* Khajuraho Dance Festival is organised by the Madhya Pradesh Kala Parishad.

* It is a festival of one week of classical dances such as kathak, Bharatnatyam, Oddisi etc and the Khajuraho temples in Chhatarpur district are magnificently decorated.

Hence, option A is the correct answer.

• The monsoon is called the south west monsoon because the direction of the monsoon winds that reach Indian sub continent come from South West.
• This causes the winds to blow over the Indian subcontinent toward the Indian Ocean in a north-easterly direction, causing the northeast monsoon. Because the southwest monsoon flows from sea to land, it carries more moisture, and therefore causes more rain, than the northeast monsoon.

• The normal cholesterol level in human blood is 180 – 200 mg/dl.
• The National Cholesterol Education Program suggests that total blood cholesterol level should be:
  1. < 200 mg/dL normal blood cholesterol.
  2. 200-239 mg/dL borderline-high.
  3. > 240 mg/dL high cholesterol.

Hence, option D is correct.

The pattern is:

So, the last term would be LMQ

Hence, option D is the correct answer.

• South of the Deccan plateau and south of the Satavahana kingdom, three kingdoms arose.
• Our knowledge of these three South Indian kingdoms, the Cheras, the Cholas and the Pandyas is based on literature called the 'Sangam literature'.

Remaining digits = 87 - 9 = 78
Hence total 2 digit numbers = 
Total no. = 39 + 9 = 48

∴ Last three numbers will be 46, 47, 48.

Hence, last three digits are 7, 4, 8.

Harihara II was the first Vijayanagar ruler to wrest the important fort of Goa from the Bahamanis

Hence, option C is the correct answer.

• Ugadi is an important festival of Karnataka.

• The same day is celebrated as Gudi Padwa in Maharashtra.

• Sindhis celebrates the same day as Cheti Chand Day.

• Manipuries also celebrated same day as Sajbu Nongma Panba.

• The Hindus of Bali and Indonesia also celebrate their new year on the same day as Nyepi.

• The Poona Pact was signed between Mahatma Gandhi and BR Ambedkar in 1932 at Yerawada jail, Pune.

• It was signed by B.R Ambedkar on behalf of the depressed classes and Madan Mohan Malviya on behalf of the Caste Hindus as a means to end the fast that Gandhi adopted against the communal policies of the British.

• Under this Pact, the depressed class was allotted reserved political participation.

Total monthly fee of girls = 600 × 15 = Rs.9000

Number of boys = 50 – 15 = 35

Monthly fee of one boy = 600 × 130/100 = Rs. 780

Total monthly fee of all boys = 780 × 35 = Rs.27, 300

∴ Average monthly fee of all students = (27300 + 9000)/50 = Rs. 726

[0.9 – {2.3 – 3.2 – (7.1 – 5.4 – 3.5)}]

= [0.9 – {2.3 – 3.2 – (-1.8)}]

= [0.9 – {2.3 – 3.2 + 1.8}]

= [0.9 – 0.9]

= 0

The mean of distribution 10, 8, 15, 12, K, 25 is 12

K = 2

x = 
36.75 litres of unfiltered water is required to produce 30 litres of filtered water.

• Navroz festival is associated with Zorastrianism.

• Navroz is a 3,000-year-old Zoroastrian tradition, a ritual celebration that signals the start of Spring and the Persian new year.

• In 1079 Ad, Iranina King Jalaluddin Malekshah introduced the Navroz festival.

• Zoroastrianism Regilion was founded by spiritual leader and reformist Zoroaster (also known as Zarathushtra) in the 6th century BCE in modern-day Iran.

• The most important texts of Zoroastrianism are those of the Avesta.

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.

* The United Nations Human Rights Council (UNHRC) is a United Nations body.

* Its mission is to promote and protect human rights around the world.

* It has 47 members elected for staggered three-year terms on a regional group basis.

* The headquarters of UNHRC is in Geneva, Switzerland.

* It was formed on 15th March 2006.