Exams

Tides are the rise and fall of sea levels caused by the combined effects of the gravitational forces exerted by the Moon and the Sun and the rotation of Earth.

Statement 2 is also correct. But it is not the correct explanation for the 1st statement.

Here the given number series is 5  11  21  44  ?  175

Now the given series follows a pattern, that

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

Then the missing number is x2 - 2

= 44 x 2 - 2 = 88 - 2 = 86

Hence, the missing number in the number series is 86.

According to al-Biruni, the sufi theories of the soul were similar to those in Patanjali’s Yoga Sutra. Like the Yoga Sutra, sufi works also stated that ‘the bodies are the snares of the souls for the purpose of acquiring recompense’. Al-Biruni also identifies the sufi doctrine of divine love as self-annihilation with parallel passages from the Bhagavad Gita. There was also much exchange of ideas between the Sufis and Indian yogis. In fact the hatha-yoga treatise Amrita Kunda was translated into Arabic and Persian, So C is right.

Hujwiri was known as Datta Ganj Baksh. Hujwiri comments that before he settled in Lahore some sufis believed in theories that he calls brahmanical. According to Hujwiri they wrongly believed that ‘annihilation (fand’) signifies loss of essence and destruction of the personality, and that subsistence (baqa) indicates the subsistence of God in man.

The given series follows a pattern that,

+4, +6, +8, +10, +12...

5

5 + 4 = 9

9 + 6 = 15

15 + 8 = 23

23 + 10 = 33

33 + 12 = 45

Hence, the missing number in the series is 33.

Given that

(10M + 15W) x 6 days = 1M x 100 days

=> 60M + 90W = 100M

=> 40M = 90W

=> 4M = 9W.

From the given data,

1M can do the work in 100 days

=> 4M can do the same work in 100/4= 25 days.

=> 9W can do the same work in 25 days.

=> 1W can do the same work in 25 x 9 = 225 days.

Hence, 1 woman can do the same work in 225 days.

let ABC be the isosceles triangle, the AD be the altitude 

Let AB = AC = x then BC= 32-2x       [because parameter = 2 (side) + Base] 

since in an isoceles triange the altitude bisects the base so 

BD = DC = 16-x 

In a triangle ADC, AC2=AD2+DC2 

x2=82+16-x2 ⇒x=10 

BC = 32-2x = 32-20 = 12 cm 

Hence, required area = 12*BC*AD= 12*12*10 = 60 sq cm