Page 174 - Services Selection Board (SSB) Interviews

170 Data Sufficiency
11. (b) Given that Ram > Shyam, Vikram > Jay. Let, a cm and b cm are the the two unknown sides
Hence from this we can conclude that neither Ram as shown in the fig.
nor Vikram is the shortest. And we have to find the From statement 1,
shortest among them: a + b = 80 cm, hence b = (80 – a) cm
Consider statement I alone: Now using cosine rule.
We know that Ram is not the shortest, either Shyam cos 60° = (AB + AC – CB )/2 AB
2
2
2
or Jay is the shortest. 1
2
2
2
Hence (I) alone is not sufficient. \ 2 = [60 + b – (80 – b) ]/120
Consider statement I alone Shyam > Vikram. By solving this we get, b= 28 cm. Hence, statement
From the given information and the information in 1 is sufficient to answer.
(II), we get Ram > Shyam > Vikram > Jay. From statement 2,
Hence, (II) alone is sufficient. Since ∠B = 45° hence ∠C = 75°
12. (a) Statement I alone is sufficient. According to sine rule: we know that a/sin A = b/sin
B = c/sin C
Statement II alone is not sufficient, for we can have a/sin 45° = b/sin 60° = 60/sin 75°
more than one value of MN possible. From this we can find the value of the sides.
13. (e) Given relationship is (PQ)(RQ) = XXX Hence statement 2 is sufficient to answer the
Since X can take 9 values from 1 to 9 hence we have question.
9 possibilities 15. (a) From statement I,
111 = 3 × 37 444 = 12 × 37 777 = 21 × 37 E + B < A + D, we easily say that E is less than A,
222 = 6 × 37 555 = 15 × 37 888 = 24 × 37 because B>D and as the statement suggest E + B <
A + D.
333 = 9 × 37 666 = 18 × 37 999 = 27 × 37 \ E < A.
But out of these 9 cases only in 999, we get the \ A is not the smallest integer.
unit’s digit of the two numbers the same. Since it is a
unique value, hence we need neither statement I nor Statement I is sufficient to answer.
statement II to answer the question. From statement II, D < F
14. (d) C This statement is not sufficient to find the relation
between A and E.

b cms a cms

60°
A B