Question
How many students scored at least 40% marks in an exam?
A total of 720 candidates appeared for the exam. Statement I: One-fifth of the candidates scored 70% or above, and 240 candidates scored more than 20% but less than 40%. Statement II: The number of candidates who scored between 40% and 69% is twice the number of candidates who scored less than 20%. The question consists of two statements I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question or not.Solution
Statement I: Number of students those secured 70% marks and above = 1/5 x 720 = 144 240 candidates have secured more than 20% but less than 40% marks in the exam. This statement alone is not sufficient to answer the question. Statement II: In this statement, we don’t have data about the number of students that secured 70 % and above marks. This statement alone is not sufficient to answer the question. On combining (I + II), Number of students those secured those less than 20% marks and those secured marks between 40% and 69% = 720 – 144 – 240 = 336 Number of students those secured between 40% and 69% = 2 x Number of students those secured less than 20% marks Number of students those secured between 40% and 69% = 2/3 x 336 = 224 So number of students those secured at least 40% marks = (40% to 69%) + (70% and above) = 224 + 144 = 368 Statement (I + II) together is sufficient to answer the question. Hence answer is option C
A man buys a laptop at Rs. 18,000. He pays Rs.6,000 at once and the rest after 18 months on which he is charging a simple interest at the rate of 15% p...
A total of Rs. 14,500 is divided between two individuals, 'A' and 'B', in the proportion 16:13. If 'B' decides to invest his share in a financial scheme...
If he invested Rs. ________ in a scheme that offers a R% rate of interest for the 4T years on simple interest, then the interest received from the schem...
A sum doubles in seven years at simple interest. In how many years will the sum become five times the original sum?
Rohit invested Rs. ‘x’ and Rs. ‘y’ in Scheme A and Scheme B respectively. He invested in Scheme A for 5 years at a simple interest rate of 6% p....
A deposited Rs. 3500 at 35% per annum compound interest in scheme A for 2 years. After 2 years, he deposited total amount at 10% simple interest per ann...
A man invested Rs. 20,000 at simple interest of 10% p.a. If he had instead invested the same sum on compound interest of 10% p.a., compounded annually, ...
The simple interest received on a certain sum is Rs. 500 less than the sum invested. If the sum was invested at 12% p.a. for 8 years, then find the simp...
Nikhil invested two amounts, Rs. '2N' and Rs. '3N', at simple and compound interest rates respectively. The first amount, Rs. '2N', was invested at a si...
Vikram had Rs. 9500 with him. He invested 35% of the sum at 11% p.a. and the rest at 16% p.a., both at simple interest for 4 years each. Find the total ...
