RRB NTPC Mock Test - 11 (English) - Railways MCQ

sinθ + cosθ = √3 cos (90 - θ)

sinθ + cosθ = √3 sinθ

cosθ = √3 sinθ - sinθ

cosθ = sinθ (√3 - 1)

∴ tanθ = 1/(√3 - 1) = (√3 + 1)/2

The formula for CI at annual compound interest, including principal sum, is:

Here n = 1

0.0625P = P(1 + r/100)2 - P - (P × r × 2)/100

(1 + r/100)2 - r/50 = 1.0625

r = 25%

• Gandhara was an ancient kingdom situated along the Kabul and Swat rivers of Afghanistan and Pakistan.
• The capital of Gandhara was Takshashila also known as Taxila.
• It was one of the sixteen Mahajanpadas of ancient India.

• Fishes have two heart chambers which consist of a single atrium and a single ventricle.
• The Atrium is responsible for taking the blood from the body. The ventricle is responsible to pump out the blood that has entered the heart.
• Fishes like sharks, bony, trout, tuna, and salmon have two heart chambers.

Let the amount lend to A be Rs. α = principal amount for A

Amount lend to B = Rs. (20000 – α) = principal amount for B

We know that, Simple interest = (Principal × Rate × Time)/100

Simple interest for A = (α × 12 × 2)/100 = 0.24α

Simple interest for B = [(20000 – α) × 6 × 2]/100 = 2400 – 0.12α

Total interest = simple interest for A + simple interest for B

⇒ 3840 = 0.24α + 2400 – 0.12α

⇒ 0.12α = 3840 – 2400

⇒ α = 1440/0.12 = Rs. 12,000

∴ Amount lend to A = Rs. 12,000

Therefore, the right one is HNP instead of LNP.

• PM Narendra Modi is on a 2-day visit to Gujarat from 4 March 2019.
• He will launch the Pradhan Mantri Shram-Yogi Maandhan Yojana (PM-SYM) and inaugurate the first phase of 6-km-long Ahmedabad Metro service.
• He will also lay foundation stones for Umiya Dham temple and launch SAUNI water scheme.

• President Ram Nath Kovind conferred 4 Kirti Chakras and 15 Shaurya Chakras to Armed Forces Personnel on 14 March 2019.
• Major Tushar Gauba was given Kirti Chakra.
• Out of 4, Three Kirti Chakra was given POSTHUMOUSLY 

           1.SOWAR VIJAY KUMAR    

           2.RAJENDRA KUMAR NAIN

           3. PRADIP KUMAR PANDA

• Three Kirti Chakras and one Shaurya Chakra were given posthumously.
• Fifteen Param Vishisht Seva Medals, one Uttam Yudh Seva Medals and twenty-five Ati Vishisht Seva Medals to senior officers of the Armed Forces were also conferred.

Original price of shoes = Rs. 2000

Profit of company = 12.5%

⇒ Price for dealer = 2000 + 12.5% of 2000 = 2000 + 1/8 × 2000 = 2000 + 250 = Rs. 2250

But, selling price of dealer = Rs. 2700

⇒ Profit earned by dealer = 2700 - 2250 = Rs. 450

∴ Profit percentage of dealer = 450/2250 × 100 = 20%

• Uber cup associated with Badminton.
• It is named after a former British women's badminton player, Betty Uber.
• It is often called World Team Championships for Women.
• It is a major international badminton competition contested by women's national badminton teams.
• Thomas Cup is the World Team Championship for Men in Badminton.

The intersection of Rectangle and Triangle represent Event planners who are gamers.

Hence, the answer is ‘B’.

Interchanging the following signs:

1) ÷ and - → 7 × 16 + 20 ÷ 20 - 10 = 103 ≠ 31

2) × and - → 7 - 16 + 20 × 20 ÷ 10 = 31

3) + and ÷ → 7 × 16 ÷ 20 - 20 + 10 = - 4.4 ≠ 31

4) - and + → 7 × 16 - 20 + 20 ÷ 10 = 94 ≠ 31

Hence, '× and -' is the correct answer.

∵ The number should be divisible by 9, 10 and 15 leaving a remainder of 7 in each case.

Thus a remainder of 7 will be also obtained when it is divided by the LCM of 9, 10 and 15.

LCM of 9, 10 and 15 = 90

Dividing 1936 by 90 we get,

Quotient = 21

Remainder = 46

The remainder should be 7

Thus least number which should be subtracted from 1936 = 46 – 7 = 39.

We know that the coordinates of mid points of line joining (a₁,b₁) and (a₂,b₂) are (a_{1 +} a₂)/2 and (b₁ + b₂)/2

For x coordinate

⇒ -2 = (-5 + x)/2

⇒ -4 = -5 + x

∴ x = 5 - 4 = 1

The roots of a quadratic equation px² + qx + r = 0 are equal only when q² = 4pr

Given equation,

ax² + x + b = 0

By comparing the above equation with px² + qx + r = 0, we get

p = a;

q = 1

r = b

Thus putting the values in q² = 4pr, we get

1 = 4ab

⇒ ab = 1/4

Angkor Wat, also known as the 'city temple', is the largest temple in the world.

• It has a vast temple complex in Cambodia featuring the magnificent remains of several capitals of the Khmer Empire, from the 9^th to the 15^th century AD.

• It stands on a raised terrace above the rest of the city.

• The temple is made of three rectangular galleries rising to a central tower, each level higher than the last.

Given: 38 C 12 B 4 A 2 C 5 A 5

Substituting the symbols:

38 + 12 × 4 ÷ 2 + 5 ÷ 5

Solution through BODMAS:

38 + 12 × 4 ÷ 2 + 5 ÷ 5

38 + 24 + 1 = 63

Hence, the correct answer is 63.

Mean is the average of the given numbers,

⇒ Mean = (36 + 28 + 45 + 51)/4 = 160/4 = 40

Variance is calculated by taking the average of the squares of the difference between each term and the mean,

⇒ Variance = [(36 - 40)² + (28 - 40)² + (45 - 40)² + (51 - 40)²]/4

= [16 + 144 + 25 + 121]/4 = 306/4 = 76.5

∴ Variance of the given numbers = 76.5

The Arakan Mountains, also known as the Rakhine Mountains, are a mountain range in western Myanmar, between the coast of Rakhine State and the Central Myanmar Basin, in which flows the Irrawaddy River.

• It is the most prominent of a series of parallel ridges that arc through Assam, Nagaland, Mizoram and Myanmar.

Hence, 2 is the correct answer.

Avogadro’s Law states that at constant temperature and pressure, all equal volume of gases will have an equal number of molecules" which means 'V' is directly proportional to the 'Number of molecules'.

Here the numbers denotes the place value of letter in English alphabetical series.

N → 14

V → 22

Z → 26

F → 6

Hence Z × F is 26 × 6.

Simuka was an Indian king belonging to the Satavahana dynasty. He is mentioned as the first king in a list of royals in a Satavahana inscription at Nanaghat

Expenditure/savings = 21/4 = 21x : 4x

Income = expenditure + savings

9475 = 21x + 4x

9475 = 25x

x = 379.

∴ Monthly savings = 4x = 4 × 379 = Rs. 1516

Perimeter of tyre can be given as = πD = (22/7) × 21

⇒ Perimeter of tyre = 66 cm = .00066 km

Distance covered by cyclist in 45 minutes or 45/60 hrs can be given as

⇒ 16.5 × (45/60)

⇒ 16.5 × 3/4

Revolution can be given as total distance covered by cycle/perimeter of tyre

⇒ 16.5 × 3/(4 × .00066) = 18750

∴ The total revolutions are 18750

Let the first integer be 2x.

Average of 6 consecutive integers: (2x + (2x + 2) + ... + (2x + 10))/6= 12x + 2(1 + 2 + ... + 5) = 12x + 30 = 25 × 6 = 150

⇒ x = 10.

Average of new numbers: (2x + (2x + 2) + ... + (2x + 12) )/ 7 = (14x + 42)/7 = 2x + 6 = 20 + 6 = 26.

1-hour Efficiency of pipe A: 1/12

1-hour Efficiency of pipe B: 1/18

If both opened together, work done in 2 hours: 1/18 + 1/12 = 5/36

After 14 hours, work done = 5 × 7/36 = 35/36.

Work left = 1 – 35/36 = 1/36. This work will be done by pipe B in h hours.

⇒ h/18 = 1/36

⇒ h = 1/2

Therefore, total time = 14.5 hours

• Photosynthesis is the process by which plants, some bacteria and some protistans use the energy from sunlight to produce glucose from carbon dioxide.
• This glucose can be converted into pyruvate which releases adenosine triphosphate (ATP) by cellular respiration. Oxygen is also formed.

A’s 1 day work = 1/6

B’s 1 day work = 1/9

C’s 1 day work = 1/18

Let C alone worked for ‘x’ days

∵ A and B worked only for one day and C worked for (x + 1) days,

⇒ A’s 1 day work + B’s 1 day work + C’s (x + 1) days’ work = 1

⇒ 1/6 + 1/9 + (x + 1)/18 = 1

⇒ (x + 1)/18 = 13/18

⇒ x + 1 = 13

⇒ x = 13 – 1 = 12

∴ C worked alone for 12 days

Given that,