IBM Aptitude placement papers Directions

Directions (16-18): Study the following information to answer the given questions.
          ¼br />                         A Committee is to be formed from a Group of 6 women and 5 men. Out of the 6 women           2 are Teachers, 2 Social Workers and 2 Doctors. Out of the 5 men 3 are Teachers and 2      Doctors. In how many different ways can it be done?

            16.       Committee of 6 persons in which at least 2 are Doctors.

                        1) 210
                        2) 102
                        3) 371
                        4) 350
                        5) None of these            17.       Committee of 2 Teachers, 2 Doctors and 1 Social Worker.

                        1) 462
                        2) 210
                        3) 32
                        4) 120
                        5) None of these

            18.       Committee of 5 with 3 Females and 2 Males and out of which having 2 Social Workers                                     and at least 2 Female Doctor and at least 1 Male Doctor.

                        1) 32
                        2) 14
                        3)  9
                        4) 8
                        5) None of these

                        Directions (19-20): Study the following information to answer the given questions.
                        A box contains 8 Red, 16 Blue, 4 Yellow and 12 Black Balls.

            19.       One ball is picked up randomly. What is the probability that it is not Blue ?                        1) 0.24
                        2) 0.8
                        3) 0.3
                        4) 0.5
                        5) None of these

            20.       Two balls are picked up randomly. What is the chance that both are Red ?

                        1)

                        2)
                        3)

                        4)
                        5) None of these                        Directions (21-25): In each of the following questions either one or more than one          answer may be possible. If only one answer is possible, the number of that alternative ie,          (1), (2),(3), or (4) in which the answer is given is the answer. If more than one answer is        possible give answer (5), ie "More than one answer". Please note that all the possible    answers may not be shown as alternatives.

            21.       = ?x
          ¼br />                         1) 25
                        2) 10
                        3) -15
                        4) 3
                        5) More than one answer
          ¼br />             22.       The 3 sides of a triangle are 6cm, 13cm and x cm respectively. If x is an integer and its                           value  is between 4cm and 8cm (both values included), what is the value of x in cm ?                      ¼br />                         1) 4
                        2) 5
                        3) 8
                        4) 7
                        5) More than one answer

            23.       The three sides of a triangle are 6cm, 13cm and x cm respectively. If x is an integer and                                     its value is more than 17cm, what is the value of x in cm?

                        1) 18
                        2) 19
                        3) 21
                        4) 22
                        5) More than one answer

            24.       If 2x2 +12x +18 = 0;what is the value of x ?                        1) 3
                        2) -3
                        3) -2
                        4) 2
                        5) More than one answer

            25.       The ratio of the area of a circle to its diameter is 22:1. What is the measure of its radius ?

                        1) 48
                        2) 7
                        3) 24
                        4) 14
                        5) More than one answer
ANSWERS:              ¼br />  

            1. (5)
            2. (1)
            3. (3)
            4. (5)
            5. (4)
            6. (2)
            7. (2)
            8. (1)
            9. (3)
            10. (5)
            11. (5)
            12. (1)
            13. (4)
            14. (2)
            15. (3)
            16. (3)
            17. (4)
            18. (2)
            19. (5)
            20. (4)
            21. (4)
            22. (3)
            23. (1)
            24. (2)
            25. (5)