Directions (1-5): Each of the question below consists of a question and two statements numbered I and II given below it.You have to decide whether the data provided in the statements are sufficient to answer the question.
(1) If statements I is sufficient to answer the question, but statement II by itself is not sufficient to answer the question.
(2) If statement II by itself is sufficient to answer the question, but statement I alone is not sufficient to answer the question.
(3) If statement either I or II is sufficient to answer the question.
(4) If both the statements I and II taken together are not sufficient to answer the question.
(5) If both the statements I and II taken together are sufficient to answer the question.
1. A number is divisible by 3. Find the number.
I. Square of the number is divided by 9.
II. 40% of the number is 2/5 th of that number.
From the first statement
If any number is divisible by 3, its square is always divisible by 9. So we cannot find the number from the given statement.
From second statement 40% of the number is 2/5th of that number.
So the question cannot be answered even after using both statements together.
2. What is the ratio of investment of Ram, Shyam, and Mahesh?
I.Total investment is Rs.6000 in which Ram’s contributions Rs. 3000
II. Ratio of investment of Ram to Shyam is 3:2 and that of Shyam to Mahesh is 2:1.
So second statement is sufficient to given the answer.
3. Area of a rectangle is equal to the area of a right angled triangle. What is length of the rectangle?
I. The base of the triangle is 80 cms.
II. The height of the triangle is 90 cms..
=(1/2)*base*height
=(1/2)*80*90=3600
Area of rectangle =3600
So we can’t find the length by neither alone statement nor together.
4. What is the speed of the boat in still water?
I. It takes 7 hour to cover distance between A and B downstream.
II. It takes 14 hour to cover distance between A and B upstream.
5. What percent of families in the U.P have an annual expenses of over 1,50,000 and own a Bungalow? The number of families is 1,50,000.
I. 28% of the families in U.P have an expenses of 1,50,000.
II. 40% of the families in U.P have an annual expenses over 1,50,000 and own a Bungalow.
(150000*40)/100=60000
6. The ratio of ducks and frogs in a pond is 37: 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond?
And number of frogs = 39x
Average = 38x = 152
x = 4. Hence number of frogs = 39x = 156
7. P and Q are two taps which can fill a tank individually in 5 minutes and 10 minutes respectively. However, there is a leakage at the bottom which can empty a filled tank in 15 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?
P can fill 6 litres in one min.
Q can fill 3 litres in one min.
C can empty 2 litre in one min
Together both the pipes and leakage will fill 7 litres in one min. Hence time to fill the tank = 30/7 mins
8. What approximate amount of compound interest can be obtained on an amount of Rs. 1950 at the rate of 6% p.a. at the end of 3 years?
1st year interest = 117
2nd year interest = 117 + 7.02
3rd year interest = 117 + 7.02 + 7.02 + 0.4212
Total interest = 372.5 (approx)
9. If the fractions 7/4, 8/5, 8/3, 4/3, 3/4 are arranged in descending order of their values, which one will be fourth?
10. Ravan scored 456 marks in an exam and Amitabh got 54 per cent marks in the same exam which is 24 marks less than Ravan. If the minimum passing marks in the exam is 34 percent, then how much more marks did Ravan scored than the minimum passing marks?.
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