AIEEE Questions

---

The given series 404, 415, 402, 413, 400, ? follows a pattern that,

404

404 + 11 = 415

415 - 13 = 402

402 + 11 = 413

413 - 13 = 400

400 + 11 = 411

Hence the next number in the given number series is 411.

List of fundamental duties of the citizens of India in Article 51A of the Indian Constitution :

1. to abide by the constitution and respect its ideal and institutions;

2. to cherish and follow the noble ideals which inspired our national struggle for freedom;

3. to uphold and protect the sovereignty, unity and integrity of India;

4. to defend the country and render national service when called upon to do so;

5. to promote harmony and the spirit of common brotherhood amongst all the people of India   transcending religious, linguistic and regional diversities, to renounce practices derogatory to the   dignity of women;

6. to value and preserve the rich heritage of our composite culture;

7. to protect and improve the natural environment including forests, lakes, rivers, and wild-life       and to have compassion for living creatures;

8. to develop the scientific temper, humanism and the spirit of inquiry and reform;

9. to safeguard public property and to abjure violence;

10. to strive towards excellence in all spheres of individual and collective activity

11. who is a parent or guardian , to provide opportunities for education to his child, or as the case may be, ward between the age of six and fourteen years.

Let the numbers be 3x, 3x + 3 and 3x + 6.
Then,
3x + (3x + 3) + (3x + 6) = 72
9x = 63
x = 7
Largest number = 3x + 6 = 27.

=> Second largest number = 27 - 3 = 24

Let the total distance to be covered is 84 kms.
Time taken to cover the distance without stoppage = 84/42 hrs = 2 hrs
Time taken to cover the distance with stoppage = 84/28 = 3 hrs.
Thus, he takes 60 minutes to cover the same distance with stoppage.
Therefore, in 1 hour he stops for 20 minutes.

We cannot find out the answer because the number of days of the current month is not given.

 Draw BE // CD

Then, CE = AB = 1.6 m,

BE = AC =

 $$\begin{gathered} DEtan30 \\ => DE = tan30 x 203 \\ => DE = 13x203 = 20 \end{gathered}$$

Therefore, CD = CE + DE = (1.6 + 20) m = 21.6 m.

In one hour, the minute hand gains 330° over the hour hand. i.e., 60 minute, the minute hand gains 330° over the hour hand.

∴ In 16 minutes, the minute hand gain over the hour hand by

C alone can finish the work in 40 days.
As given C does half as much work as A and B together
=> (A + B) can do it in 20 days
(A + B)s 1 days wok = 1/20.
A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)
A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]
B's 1 days work = (1/20) x (2/3) = 1/30
(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40

All the three together will finish it in 40/3 = 13 and 1/3 days.