Page 173 - Services Selection Board (SSB) Interviews

Data Sufficiency 169
Hence, we cannot find how many each received so Given that Ram bought 350 shares of face value
this statement is not sufficient enough. `10, and so, their total face value is `3500. So here
Now by considering Statement II alone. we know the investment and the return hence we
p + i + r = 170 can find out the rate of interest.
Hence, we cannot find how many each received. so 8. (d) Consider Statement I alone.
this statement is not sufficient enough Given that Area (∆ABC) = Area(∆ PQR) since
Using I and II together, we get p + (p – 17) + (p – nothing about the sides or angles is mentioned, we
103) = 170. cannot say if they are congruent. Hence, I alone is
Solving the above equation we get the value of p not sufficient.
and the values of q and r. Consider Statement II alone
3. (b) If we look at Statement I ∆ABC and ∆PQR are right triangles. Nothing about
It is given that the circles are concentric. But nothing the sides is given, hence, II alone is not sufficient.
is given about their dimensions. Hence I alone is not Now using both I and II
sufficient. Now we have two right angled triangle with same
In statement II ratio of area is given hence we can area we may have different combination as only
find the required ratio. product of base and height is same. Hence even by
using both the statement we can not find the answer.
4. (b) Let the 7 consecutive whole numbers be (n ± 3),
(n ± 2) (n ± 1), n. 9. Given that their salaries are in the ratio of 3:4 and
Now if we consider Statement I alone expenditure is in the ratio of 4:5 hence we can
Product of these 7 integers = 702800 assume that salary of A and B are 3x and 4x and
their expenditures are 4y and 5y.
2
4
Since 702800 = 2 5 (251)(7), it cannot be the Now we need to find the ratio of (3x – 4y)/(4x – 5y)
product of 7 consecutive whole numbers. Hence I
alone is insufficient. Consider statement I alone:
Now if we consider Statement II alone Saving of B is 25% of his salary hence his expenditure
Given that their sum = 105 = 7n or n = 15 and then must be 75% so ¾(4x) = 5y or 3x = 5y from this
we can find the required ratio hence this statement is
7 consecutive integers are 12, 13, 14, 15, 16, 17, 18 sufficient.
So, II alone is sufficient.
Consider statement II alone:
5. (a) Since sum is 360 hence P + Q + R + S = 360 Given that 4x = 2000 or x = 500 but from this we
From statement I alone we will get P = (Q + R can not find the value of y and hence we can not
+ S)/3 from this we can find the value of P hence find the ratio of their savings.
statement I alone is sufficient enough.
From statement II alone we can not find the value 10. (c) Let x be the average height of the class and n be
the number of students in the class.
of P.
6. (d) Statement I is not sufficient as the size of the ice Consider statement I alone:
cube and height of the container is not known hence xn – 56 = (x – 1)(n – 1)
statement I is not sufficient alone. ⇒ x + n = 57 ...(i)

Statement II is also not sufficient as the dimension of Hence, the value of x cannot be found. So, I alone is
the container is not known. not sufficient.
We cannot answer the question even by combining Consider statement II alone:
both the statements as the height of the container is xn – 42 = (x + 1)(n – 1)
not known. ⇒ x – n = 41 ...(ii)
7. (b) It is given that Ram got a dividend of ` 1500. Hence, the value of x cannot be found. So, II alone
Statement I is not sufficient.
Knowing the dividend paid last year, we cannot find Both the statements together are sufficient as the
the dividend paid this year. value of x can be found by solving (i) and (ii)
Statement II