The simple interest of a certain sum for 12 years is Rs.800.Find the sum. I. The sum is trebled in 5 years. II. That sum at SI amounts to Rs.305 in 2 years and Rs.575 in 5 years.
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: D 800 = PR*12/100......(i) 2P = PR*5/100.........(ii) Using these equations, we can find out the value of sum. Therefore, statement I alone is sufficient to answer the question. P + 2PR/100 = 305...(i) P + 5PR/100 = 575 ....(ii) Again using these, equations we can find out the value of ‘P’. Therefore, statement II alone is sufficient to answer the question.
Q. No. 128:
Can we find the relative speed of two trains with respect to each other, if A. the speed of the first train is 120% more than the speed of the second train B. the speed of second train is 80 km/hr.
A :
A and B together are not sufficient
B :
A and B taken together are sufficient, but neither (A) alone, nor (B) alone is sufficient
C :
A alone is sufficient, but (B) alone is not sufficient
D :
B alone is sufficient, but (A) alone is not sufficient
Answer: A Speed of first train = T1 & speed of second train = T2 = 80 km / hr T1 = 1.2 T2 T1 = 1.2 × 80 = 96 km / hr Relative speed of Ist train w.r.t. other train can be = (80 + 96) = 176 km / hr (when trains move towards each other) Also relative speed can be = 96 – 80 = 16 km / hr (when they move towards each other). So both the statements together are not sufficient to answer the question.
Q. No. 129:
What is the volume of a cuboid? I. The biggest sphere that could fit inside the cuboid had a volume of 12cc. II. The length of the three sides of the cuboid are prime numbers and were in arithmetic progression, with common difference equal to 2cm.
A :
If statement I alone is sufficient to answer the question.
B :
If statement II alone is sufficient to answer the question.
C :
If either statement I or statement II alone is sufficient to answer the question.
D :
If statement I and statement II together are sufficient but neither of the two alone is sufficient to answer the question.
Answer: B Statement I alone is insufficient to answer the question. Considering statement II alone, the only possible dimension of the cuboid is 3 × 5 × 7. Hence, the required volume of the cuboid is 105 cm3. Therefore, statement II alone is sufficient to answer the question.
Q. No. 130:
Find x and y, both of which are prime natural numbers when, x – y = 2. I. x + y < 10 II. 30 < x + y < 40
A :
If statement I alone is sufficient to answer the question.
B :
If statement II alone is sufficient to answer the question.
C :
If either statement I or statement II alone is sufficient to answer the question.
D :
If statement I and statement II together are sufficient but neither of the two alone is sufficient to answer the question.
Answer: C Considering statement I alone: x + y < 10. Prime numbers that are less than 10 are 2, 3, 5 and 7. It is also known from the mother statement that x – y = 2. So, we can confirm that the value of x is 5 and y is 3. The value of x and y cannot be 7 and 5 respectively because then x + y will be greater than 10. Considering statement II alone: 30 < x + y < 40. From this statement and the mother statement we can confirm that the value of x = 19 and y = 17. Therefore, both the statements are individually sufficient to answer the question.
Q. No. 131:
10 balls were in a box A out of which only 5 were white. 7 balls from these were transferred to some other box B which did not contain any balls. What is the probability that the ball ‘X’ is white? I. ‘X’ is drawn out of this box B. II. Seven balls transferred to box B had exactly 3 white balls in it. And now ‘X’ is drawn out of this box B.
A :
If statement I alone is sufficient to answer the question.
B :
If statement II alone is sufficient to answer the question.
C :
If either statement I or statement II alone is sufficient to answer the question.
D :
If statement I and statement II together are sufficient but neither of the two alone is sufficient to answer the question.
Answer: C Considering statement I alone the probability that the ball drawn out from box B is white is 1/2. Considering statement II alone: Probability that out of the seven balls drawn from box A, 3 were white => 5C3 *5C4/ 10C7 Required probability = {5C3
*5C4/
10C7 } * 3/7 Hence both the statements are individually sufficient to answer the question.
Q. No. 132:
What is the Cost Price of the article ? I. After selling the article, a loss of 25% on Cost Price incurred. II. The Selling Price is three-fourths of the Cost Price.
A :
If both the statements together are insufficient to answer the question.
B :
If any one of the two statements is sufficient to answer the question.
C :
If each statement alone is sufficient to answer the question.
D :
If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.