How much time is taken by Balajeet to reach office. I. Ratio of speeds of Balajeet to the speed of Roy is 4 : 5. II. Time taken by Roy to reach the office is 5 hours.
A :
if the question can be answered using statement I alone, but cannot be answered using statement II alone.
B :
if the question can be answered using statement II alone, but cannot be answered using statement I alone.
C :
if the question can be answered using both the statements together, but cannot be answered using any one statement alone.
D :
if the question cannot be answered even by using both the statements together.
Answer: D From both statements I and II, we cannot find the time since it is not specified whether the distance travelled by both is same or not. Hence, using both statements together we cannot find the answer.
Q. No. 80:
Are b, a and d in an arithmetic progression? I. Average of a, b and c is 18, average of b,c and d is 24 and average of c, d and a is 30. II. a, b and c are in arithmetic progression.
A :
if the question can be answered using statement I alone, but cannot be answered using statement II alone.
B :
if the question can be answered using statement II alone, but cannot be answered using statement I alone.
C :
if the question can be answered using both the statements together, but cannot be answered using any one statement alone.
D :
if the question cannot be answered even by using both the statements together.
Answer: A From statement I, a + b + c = 54 ...(i) b + c + d = 72 ...(ii) c + d + a = 90 ...(iii) From (i) and (ii) d – a = 18 From (ii) and (iii) a – b = 18 a – b = d – a => a = (b+d)/2 Hence, b, a and d are in arithmetic progression. From statement II, we cannot tell anything about b, a and d.
Q. No. 81:
Amar borrowed a certain sum of money from a bank for 2 years. Find the sum. I. The difference between the CI and SI for 2 years is Rs. 60. II. The rate of interest was 5%.
A :
if the question can be answered using statement I alone, but cannot be answered using statement II alone.
B :
if the question can be answered using statement II alone, but cannot be answered using statement I alone.
C :
if the question can be answered using both the statements together, but cannot be answered using any one statement alone.
D :
if the question cannot be answered even by using both the statements together.
Answer: C Statements I and II alone cannot give the answer. But combining I and II, we have Pr2 /1002 = 60 => r = 5 and P = Rs 24,000.
Q. No. 82:
How many students are there in the class? I. The ratio of the number of boys to that of girls is 2:1 II. The difference between the numbers of boys and girls is 8.
A :
if the question can be answered using statement I alone, but cannot be answered using statement II alone.
B :
if the question can be answered using statement II alone, but cannot be answered using statement I alone.
C :
if the question can be answered using both the statements together, but cannot be answered using any one statement alone.
D :
if the question can be answered using either statement I or statement II alone.
Answer: C Combining both the statements, we get B : G = 2 : 1 and B – G = 8 where B and G are the number of boys and girls respectively. Using these two equations we can find the value of B and G separately and hence find out the number of students in the class which is B + G.
Q. No. 83:
What is the amount of profit earned? I. On selling the article for Rs.1740, 20% profit is earned. II. The cost price of the article is Rs 1200.
A :
if the question can be answered using statement I alone, but cannot be answered using statement II alone.
B :
if the question can be answered using statement II alone, but cannot be answered using statement I alone.
C :
if the question can be answered using both the statements together, but cannot be answered using any one statement alone.
D :
if the question can be answered using either statement I or statement II alone.
Answer: A Using statement I Amount of profit earned = Rs 290. Therefore, statement I alone is sufficient to answer the question. Using statement II: we cannot answer the question and therefore it is not sufficient to answer the question.
Q. No. 84:
Is a two-digit positive integer ‘b’ divisible by 18? I. When 3 divide ‘b’, the remainder is 2. II. When ‘b’ is multiplied by 3,we get the result in three digits
A :
if the question can be answered using statement I alone, but cannot be answered using statement II alone.
B :
if the question can be answered using statement II alone, but cannot be answered using statement I alone.
C :
if the question can be answered using both the statements together, but cannot be answered using any one statement alone.
D :
if the question can be answered using either statement I or statement II alone.
Answer: A we can say that if a number ’k’ is not divisible by 3,it will also be not divisible by 18.Therefore, statement I alone is sufficient to answer the question. We cannot answer the question using statement II..