All Competitive Exam Important Mock Test-(17.03.2021)-ORSP

= 5 + 50 + 500 + 5000 + 50000 + .......... + 500000000

= 555555555.

Hence, the correct option is B.

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.

Hence, option (B) is the correct response.

Hence, option (D) is the correct response.

The pattern is:

So, the last term would be LMQ

Hence, option D is the correct answer.

So time taken by 18 women in completing the work= 

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 Gandhi Irwin Pact was endorsed by the Congress in the Karachi Session of 1931, that was held from March 26-31. Gandhi was nominated to represent Congress in the Second Round Table Conference. Just a week back, Bhagat Singh, Sukhdev and Rajguru had been executed. So, there was anger in the public whose point was that why Gandhi did accept to sign the pact.

Given,  of 

= 

=

=

= 

= 

=

The eldest son of Humayun, Akbar, ascended the throne at the age of 14. He was given the title of Jalaluddin Mohammad Akbar. Bairam Khan was the regent of Akbar and fought second battle of Panipat with Hemu. The regency of Bairam Khan was ended by Akbar in 1560.

 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 

• Rajiv Gandhi International Airport is also known as Hyderabad International Airport, or simply RGIA is an international airport serving the metropolis of Hyderabad located at Shamshabad, about 22 km (14 mi) south of Hyderabad.
• It is named after Rajiv Gandhi, former Prime Minister of India.

Total people = 160,
Men = 1/4 of total population = 40
Women = (2/5)^th of total population = 64 and
Children = 160 - 40 - 64 = 56
Given, Average age of children = 5
Therefore average age of man = 7 times average age of children = 7*5 = 35
average age of woman = 6/7 average age of man = 35* 6/7 = 30
Total age of group = 5*56 + 35*40 + 30*64 = 3600
Hence average age = 3600/160 = 22.5

Hence, option C is the correct answer.

⇒ (7)³ – 7 = 336

⇒ (11)³ – 11 = 1320

⇒ (5)³ – 5 = 120

⇒ (13)³ – 13 = 2184 ≠ 2186 (odd one)

Hence, option A is correct.

• Uttar Pradesh has maximum length of rail Routes.

• It has a length of 9077.45 Kms of Rail Route.

• Madhya Pradesh has 5000kms, Bihar has 3730Kms and Karnataka has 3281 Kms.

Radius of sphere = Radius of cone = r = 27/2 cm

According to question,

Volume of Cone = Volume of Sphere
πr²h = πr³

h = 4r = 4 × 13.5

h = 54 cm

The symbols in the figure moves in below sequence –

Therefore, the next figure will be the figure mentioned in figure D.

• The Khilji dynasty ruler Alauddin Khilji introduced the policy of Dagh and Chehra.

• Dagh and chehra were the 2 reforms in the army which were introduced by ala-ud-din khalji.

• Dagh were the horses to prevent substitution from the good horses by the inferior ones and Chehrawere a full description for each soldier.

• Alauddin had made Siri his capital and had built a fort there to avoid Mongol Invasions

 x X y denotes H.C.F. of x and y

⇒ 72 X 84 denotes H.C.F. of 72 and 84

72 = 

84 = 

H.C.F. of 72 and 84 = 

x @ y denotes LCM of x and y

12 @ 144 denotes LCM of 12 and 144

⇒ 

⇒ 

Hence, LCM of 12 and 144 = 144

So, answer will be 144.

By squaring both sides

1-  = 

Hence, option A is the correct option.

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.

Logic : here the elements * and + moving one place clockwise in each step.
After carefully observing the figures given in the question, it is very clear that the answer figure (A) will be the next figure.

Hence, option A is the correct answer.

 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 = 

• According to Harshacharita,Vardhana dynasty is known to have been founded byPushyabhuti. He lived in theSrikantha janpada (Kurushetra).

• The Vardhana dynasty, also known as the Pushyabhuti dynasty, ruled parts of northern India during the 6^th and 7^thcenturies. The dynasty reached its zenith under its last ruler Harsha-Vardhana.

• The dynasty initially ruled from Sthanvishvara (modern Thanesar), but Harsha eventually made Kanyakubja (modern Kannauj) his capital, from where he ruled until 647 CE.

The pattern is:

A\AB\ABC\ABCD\ABCDE

Hence, option C is the correct answer.

After interchanging the signs (× and -)

41 + 1024 ÷ 32 – 2 × 13 = 47

Apply BODMAS rule:

-> 41 + 32 – 26 = 47

47 = 47 (L.H.S =R.H.S)

Hence, option D is the correct answer.

Hence, option A is the correct answer.