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Browse complete papersThe median of the data given below is _____, approximately.
| Class | Frequency |
|---|---|
| 0-25 | 6 |
| 25-50 | 4 |
| 50-75 | 9 |
| 75-100 | 5 |
57.77
55.55
56.66
54.44
Correct answer
57.77
In what ratio must a grocer mix two varieties of rice worth ₹65 per kg and ₹89 per kg, so that if he sells the mixture at ₹123 per kg, he may gain 64%?
9:7
17:10
7:5
3:2
Correct answer
9:7
The sum of two positive numbers is 40 and their product is 76. The positive difference between them is:
36
49
42
26
Correct answer
36
Study the pie chart and answer the question that follows.
The given pie chart shows the expenditure distribution of a family's monthly income of ₹80,000.
How much does the family spend on 'Education'?
₹18,000
₹16,000
₹14,000
₹20,000
Correct answer
₹18,000
The sum of 100 observations and the sum of their squares are 400 and 2475, respectively. Later on, three observations, 3,4 and 5, were found to be incorrect. If the incorrect observations are omitted, then the variance of the remaining observations is:
\( 9 \)
\( 8.65 \)
\( 8.25 \)
\( 8.05 \)
Correct answer
\( 9 \)
The circumference of the base of a cylindrical vessel is 440 cm and its height is 60 cm. How many litres of water can it hold?
886
936
924
928
Correct answer
886
A sector is formed by opening out a cone of a base radius of 12 cm and a height of 9 cm. Then the radius of the sector is:
9 cm
12 cm
6 cm
15 cm
Correct answer
9 cm
Suppose that an unbiased pair of dice is rolled. Let A denote the event that the same number shows on each die. Let B denote the event that the sum is greater than 7. Find P(A\B) and P(B\A), respectively.
\(\frac{1}{5},\frac{1}{2}\)
\(\frac{1}{6},\frac{1}{5}\)
\(\frac{1}{5},\frac{1}{12}\)
\(\frac{1}{6},\frac{1}{12}\)
Correct answer
\(\frac{1}{5},\frac{1}{2}\)
If x is inversely proportional to y, and y = 2 when x = 7, find the value of x, when y = 37.
\(\frac{14}{37}\)
\(\frac{14}{38}\)
\(\frac{16}{40}\)
\(\frac{15}{38}\)
Correct answer
\(\frac{14}{37}\)
The mean of 50 scores is 87. It is later observed that two scores 52 and 37 were INCORRECTLY entered as 25 and 39, respectively. What is the correct mean of the 50 scores?
87
99.5
87.5
88
Correct answer
87