1.

Statement: It is desirable to put the child in school at the age of 5 or so. Assumptions:

I. At that age the child reaches appropriate level of development and is ready to learn.

II. The schools do not admit children after six years of age.

2. Match the word with its coded form.

3. Assertion (A): If a person moves 10 km north, then 5 km east, the total distance travelled is 15 km.

Reason (R): The shortest distance between the starting and ending point is given by the Pythagorean theorem.

4. The letters in the first set have a certain relationship. AST : BRU :: NQV : ?

5. P is the father of Q. Q is the sister of R. R is the father of S. How is P related to S?

6. Assertion (A): The coin when flipped next time will come up tails.

Reason (R): Because the coin was flipped five times in a row, and each time it came up heads.

7. Assertion (A): No man is perfect.

Reasoning (R): Some men are not perfect.

8. Complete the series: 22, 33, 46, 61, 78, ?

9. Select the pair that has the same relationship DIVA: OPERA

10. In a certain code-language, CUL, WAP, DIR means red little box; SUT, MAD, BIX means well arranged pile; BIX, FAC, DIR means pile of boxes. The code for `OF` here is:

11. GENERAL is coded as 7555913. How can KNOWLEDGE be coded?

12. In a certain language if A is written as 1, B as 2, C as 3 and so on. What do the figures 12, 9, 7, 8, 20 stand for?

13. In a code language 356469 is written as 447378. Find the code for 648273.

14. Find the next number in the given series: 1, 4, 12, 30, 68, ......

15. Find the next number in the given series: 6, 4, 5, 11, 39, ...

16. What number should come next in the given series? 7, 14, 10, 20, 16, 32, ......

17. Prabudh walks 8 km eastwards, then turns right and goes 4 km, then he turns left and goes 5 km. Which direction is he facing now?

18. Find the odd one out: A) FHJ : USQ B) VTQ : EGJ C) XVT : CEG D) RPN : IKM

19. Rekha is the wife of Neeraj. Pranav is the son of Rekha. Arvind is the brother of Neeraj and father of Soham. How is Rekha related to Soham?

20. Introducing Mira to guests, Mohan said, `Her father is the only son of my father`. How is Mira related to Mohan?

21. SORROW : CRY :: MIRTH : ?

22. Ecstasy : Gloom :: ? (choose the analogous/opposite pair)

23. In the New Year`s party 500 people were invited. 200 people opted for Indian food, 150 ate Italian food and 100 people took continental food. 14 people have taken both Indian and Italian food, 10 people have taken both Italian and continental food and 15 people have eaten both Indian and continental food. 6 people have taken all three kinds of food. Find how many people have only Italian food?

24. In a class of 50 students, 10 students play badminton and 20 students play volleyball and 4 students play both the games. Find the number of students who don`t play either badminton or volleyball.

25. PQRS is a quadrilateral and PQ || RS. T is the mid‑point of PQ. ST || QR. If the area of the triangle ΔPTS is 50 cm² then the area of quadrilateral PQRS is:

26. A wall having dimensions 6 m long, 5 m high and 0.5 m thick is constructed by using bricks having measurements 25 cm x 12.5 cm x 7.5 cm. If 10% of the wall is filled with mortar, the number of bricks required to construct the wall is:

27. Two pipes P and Q can fill an empty tank in 20 minutes and 10 minutes respectively. R can empty a full tank in x minutes. If all three pipes are opened simultaneously, tank is full in 12 minutes. The value of x is:

28. Physics, Chemistry and Mathematics books have to be stacked in such a way that all the books are stored subject wise and the number of books in each stack is the same. The number of physics books is 1008, chemistry books 720 and mathematics books 288. Determine the total number of stacks required for physics, chemistry and mathematics books.

29. Four bells ring simultaneously at 9 am. They ring at regular intervals of 10 minutes, 20 minutes, 30 minutes, 40 minutes respectively. The next time when all the four bells ring together is:

30. A card is drawn from a pack of 52 cards. A gambler bets that it is either a spade or an ace. The probability of losing the bet is:

31. Two dice are rolled simultaneously. Find the probability of getting a multiple of 2 on one die and a multiple of 3 on the other die.

32. A box contains a total 12 balls of red and blue color. One blue ball is to be drawn at random from the box. The probability of drawing the ball becomes double of what it was before when 6 more blue balls are put in the box. The number of blue balls and red balls present initially is:

33. My sister is three years older than me. My father was 28 years of age when my brother was born, while my mother was 26 years of age when I was born. If my brother was four years of age when my sister was born, then what was the age of my father and mother respectively when my sister was born?

34. The ratio between the present age of two relatives, Navish and Lavya is 4:7. After 6 years the ratio of their ages will be 5:8. Find their total age after 11 years.

35. Prisha`s father is 6 years older than her mother and the mother`s age is now thrice the age of Prisha. At present, Prisha is 12 years old. What was the father`s age when their daughter was born?