Page 167 - Services Selection Board (SSB) Interviews
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Data Sufficiency                                                                                    163
                I.   Product of number is 702800.                Direction (Qs. 12-13) are followed by two statements
                II.   Sum of the number is 105.                  labelled as I  and II.  Decide if these statements are
            5.  Total marks obtained by P, Q, R and S in         sufficient to conclusively answer the question. Choose the
                Mathematics is 360. How many marks did P secure   appropriate answer from the options given below:
                in Mathematics?                                  (a)  Statement I alone is sufficient to answer the question.
                I.   P secured one-third marks of the total of Q, R   (b)  Statement II alone is sufficient to answer the question.
                     and S.                                      (c)   Statement I and Statement II together are sufficient,
                II.  Average marks obtained by Q and R are 20         but neither of the two alone is sufficient to answer
                     more than that secured by S.                     the question.
            6.  How many ice cubes can be accommodated in a      (d)   Either Statement I or Statement I alone is sufficient
                container?                                            to answer the question.
                I.   The length and breadth of the container  is    (e)   Neither Statement I nor Statement 11 is necessary to
                     20 cm and 15 cm respectively.                    answer the question.
                II.   The edge of the ice cube is 2 cm.          12.  Let PQRS be a quadrilateral. Two circles 01 and 02
            7.  Ram got  ` 1500 as dividend from a company.           are inscribed in triangles PQR and PSR respectively.
                                                                      Circle 01 touches PR at M and circle 02 touches PR
                What is the rate of interest given by the company?    at N. Find the length of MN.
                I.   The dividend paid last year was 10%.             I.   A circle is inscribed in the quadrilateral PQRS.
                II.   Ram has 350 shares of  ` 10 denomination.       II.   The radii of the circles 01 and 02 are 5 and 6
            Directions for (Qs. 8-11): Each of questions consist of       units respectively.
            question followed by two statements numbered I and II  13.  Given below is an equation where the letters
            Answer (a) if data in Statement I alone is sufficient to   represent digits. (PQ) . (RQ) = XXX. Determine the
            answer the question but the data in Statement II          sum of P + Q + R + X.
            alone is not sufficient to answer the question.           I.   X = 9.
            Answer (b) if data in Statement II alone is sufficient  to      II.   The digits are unique. [3]
            answer the question but the data in Statement I alone is   Questions (Qs. 14-15) are followed by two statements
            not sufficient to answer the question.               labeled as I and II. You have to decide if these statements
            Answer (c) if data in Statement I and II together are   are sufficient to conclusively answer the question. Choose
            necessary to answer the question.                    the appropriate answer from options given below:
            Answer (d) if data in Statement I and II together are not   (a)   If statement I alone  is sufficient to answer the
            sufficient to answer the question.                        question.
            8.  ∆ABC and ∆PQR are congruent                      (b)   If  statement II  alone is  sufficient to answer the
                I.   Area of ∆ABC and ∆PQR are same                   question.
                II.   ∆ABC and ∆PQR are right angle Triangles    (c)   If statement I and statement II together are sufficient
                                                                      but neither of the two alone is sufficient to answer
            9.  Salary of A and B is in ratio 3:4 and expenditure is in   the question.
                ratio 4:5. What is the ratio of their saving?    (d)   If either statement I or statement II alone is sufficient
                I.   B’s saving is 25% of his salary.                 to answer the question.
                II.   B’s salary is ` 2500.                      (e)   Both statement I and statement II are insufficient to
            10.  What is the average height of the class?             answer the question.
                I.   Average height of the class decreases by 1 cm   14.  The base of a triangle is 60 cms, and one of the base
                     if we exclude the tallest person of the class    angles is 60°. What is length of the shortest side of
                     whose height is 56 cm.                           the triangle?
                II.   Average height of the class increases by 1 cm      I.   The sum of lengths of other two sides is 80 cms.
                     if we exclude the shortest person of the class      II.   The other base angle is 45°.
                     whose height is 42 cm.                      15.  A, B, C, D, E and F are six integers such that E < F,
            11.  Ram is  taller than Shyam and Jay is  shorter than   B > A, A < D < B. C is the greatest integer. Is A the
                Vikram. Who is the shortest among them?               smallest integer?
                I.   Ram is the tallest.                              I.   E + B < A + D
                II.   Shyam is taller than Vikram.                    II.   D < F
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