Sample Aptitude Question Paper - II

Directions: Figures given in each question follow a set pattern. Determine the pattern and  

                    find the correct answer.

1.       1, 3, 4, 8, 15, 27,  ?

(a)   37         (b)  44           (c)  50         (d) 57

2.       66, 36, 18, ?

(a)  3            (b)  6           (c)  8            (d) 9

3.      2, -1, 5, -7, ? , -31

(a)  11                    (b) 15                    (c) 17           (d) 21

4.      5, 8, 26, 48, 122 ,  X, Y.

 X   =       , Y   =     .

5.      2, 15, 41, 80,  ?

(a)   111       (b) 120          (c) 121        (d)132

6.     0, 7, 26, 63, 124, 215,  ?

(a)  342        (b) 346          (c) 390        (d)341

7.     11, 10, ?, 100, 1001 , 1000, 10001

(a)  101        (b) 110                  (c) 111         (d) none

8.     11(1/9), 12(1/2), 14(2/7), 16(2/3), ?

(a)  8(1/3)     (b) 9(1/11)    (c) 10   (d) 20

9.     1, 9, 17, 33, 49, 73, ?

(a)  97                    (b) 98                    (c) 99           (d) 100

You are given two series in two rows. In 1^st row, a full series is given which follow a pattern.

2^nd series has same pattern as 1^st but only first element is given. By following same pattern

You have to answer the following questions (10-12).

10.                           7     13      29      53      113    217

   5     a       b       c         d        e

What will come in the place of  ‘e’.

(a)  173        (b) 171        (c) 153        (d) 151

11.                           7     15      31      63      127    225

   4     a       b       c         d        e

What will come in the place of  ‘d’.

(a)79           (b)92           (c) 74           (d) 66

12.                           8     4        6        15      52.5   236.25

   5     a       b       c         d        e

What will come in the place of  ‘b’.

(a)  3.75       (b) 9.375     (c) 2.5                   (d) 3

13.                           CAT, FDW, IGZ,  ?

(a)  KJA       (b) KTC      (c) LHD      (d)     LJC

14.                          WCYB : AZBX : :  ?  :  CGEF

(a)  DGEF    (b) EFGD    (c) EGFD    (d) GFDE

15.                         Using six different single digits, not including 0 , make the following equation true :

A * B * C  =           D * E * F

                                                  PART B

  16. 729 ml of a mixture contains milk and water in ratio 7:2. How much of the water is to be  

added to get a new mixture containing half milk and half water?

          a)305ml      b)397ml      c)405ml     d)420ml

   17.  A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75

          minutes to row to a place and back. How far is the place?

         (a) 3km        (b) 2.5 km   (c) 4 km      (d) 5 km

   18.  A tap can fill the tank in 16 minutes and another can empty it in 8 minutes. If the tank is   

          already half full and both the taps are opened together, the tank will be:

(a) filled in 12 min                   (c) emptied in 12 min

(c) filled in 8 min            (d) emptied in 8 min

   

  19.  Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio

         should these be mixed to get an alloy 15 times as heavy as water?

(a) 1:1                   (b) 2:3                   (c) 1:2         (d) 3:2

  20.   The ratio of Rita's age to her mother's age is 3:8. The difference of their ages is 35 years.

          The ratio of their ages after 4 years will be:

(a) 7:12       (b) 5:12       (c) 38:43     (d) 42:47

  21.  If one-seventh of a number exceeds its eleventh part by 100 then the number is…

(a) 770        (b) 1100      (c) 1825      (d) 1925

22.  The average age of a class is 15.8 years. The average age of boys in the class is 16.4 years

        while that of girls is 15.4 years. What is the ratio of boys to girls in the class?

(a) 1:2         (b) 3:4         (c) 3:5         (d) None of these

23.  If 1.5x=0.04y then the value of (y-x)/(y+x) is

(a) 730/77   (b) 73/77     (c) 7.3/77    (d) None

24. If x and y are the two digits f the number 653xy such that this number is divisible by 80,
     then x+y is equal to:

(a) 2            (b) 3            (c) 4            (d) 6

25. The smallest number which when diminished by 3 is divisible by 21,28,36 and 45 is...

(a)1263       (b)1260       (c)897         (d)4320

26. It was calculated that 75 men could complete a work in 20 days.  When the work was scheduled to commence It was found that 25 men were sent to another project.  How much    longer will it take to complete the work?

(a)30           (b)10           (c)37           (d)50

27.  What is a percent of  b divided by b percent of a ?

(a)a             (a)b             (c)1             (d)100

28. A man bought a horse and a cart. If he sold the horse at 10% loss and the cart at 20% gain,                     he loss nothing. If he sold the horse at 5% loss and cart at 5% gain he will lose Rs.10 in the bargain, then what are the cost price of horse and cart ?                                                                                                                                                                                        
(i)200,150   (ii)400,200  (iii)300,150 (iv)250,150

29. A software engineer has a capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every 10 min. how many lines of code he will complete after one hour?
(i)300                   (ii)400                  (iii)150        (iv)250

30. In how many no. of ways we can arrange 5 women and 4 men in a row, so that the row has to start and end with women, and no two men and no two women will be together?
(i)2880        (ii)1440       (iii)1520      (iv)2540 

(31-33)Answer these questions based on the information about six face dice in three different views.
 
31. The number on the face opposite to face carrying 1 is_______
32. The number on the faces which are adjacent to 5 are_______
33. which of the following is not a pair of opposite faces……

(a)5,6                    (b)1,3                   (c)1,4           (d)2,4

(34-38)Read the following information carefully and answer the following questions carefully

     A family consists of six members P, Q, R, S, T and U.  There are two married couples.  Q is a doctor and      the father of T.  U is grandfather of R and is a contractor.  S is grandmother of T and is a housewife.   There is one doctor, one contractor, one nurse, one housewife and two students in the family.

34.  Who is husband of P?

(a)R            (b)U            (c)Q            (d)S

35. Who Is sister of T?

(a)R            (b)U            (c)Information not sufficient             (d)None of these

36.  What is the profession of P?

(a) Doctor   (b) Nurse    (c) Housewife       (d) None of these

37.  Which of the following are two   married couples?

(a) US, QT  (b) US, QP  (c) TS, RU  (d) US, RP

38.  Which of the following is definitely a group of male members?

(a)QU                   (b)QUT       (c)QUP                 (d)UT

(39-43)Read the following information and answer the questions that follow

(i)                Seven students P, Q, R, S, T, U and V take a series of tests.

(ii)             No two students get similar marks.

(iii)           V always scores more than P.

(iv)           P always scores more than Q.

(v)             Each time either R scores the highest and T gets the least, or alternatively S scores the highest and U or Q scores the least.

39.  If S ranked sixth and Q is ranked fifth, which of the following will be true?

(a) V ranked 1^st or 4^th                        (b) R ranked 2^nd or 3^rd

(c) P ranked 2^nd or 5^th                        (c) U ranked 3^rd or 4^th

40.  If R gets most, V should be ranked not lower than

(a)second    (b)third       (c) fourth    (d) fifth

41. If R  ranked 2^nd and Q is ranked 5^th, which of the following must be true ?

(a) S ranked 3^rd     (b) T ranked 6^th    (c) P ranked 6^th     (d) V ranked 4^th

 42.  If S ranked 2^nd, which of the following can be true?

(a) U gets more than V            (b) V gets more than S           

(c) P gets more than R.            (d) P gets more than V.

43   If  V ranked fifth, which of the following must be true?

(a) S scores highest                  (b) R is ranked 2^nd

(c) T is ranked 3^rd                      (d) Q is ranked 4^th.

44. A 30 year old man married a 25 Year old woman. She died at age 50 and her husband     was so devastated that he cried for years. Ten years after he stopped crying, he died. If he had lived to be 80, how many years was he a widower?

     (a) 15     (b)  30         (c)  25         (d)  20

45. In how many seconds will a train of 105 meter long, running at 51km/h, cross a man walking at 3km/h in opposite direction.

    (a) 12s    (b)  5s                   (c) 7s           (d) 7.9 s