Statistics

If a mode exceeds a mean by 12. What is the value of mode exceeded by median?

1. 3
2. 5
3. 8
4. 4

Answer: (c) 8

A box contains 36 balls, out of which 18 are blue balls, x are yellow balls, and y are black balls. The probability of picking a yellow ball is two times the probability of picking a black ball. Find the number of yellow balls.

1. 8
2. 12
3. 14
4. 11

Answer: (b) 12

A sequence, a, ax, ax2,…., axn, has an odd number of terms. Find its median.

1. axn/2
2. axn/2 - 1
3. 2axn/2
4. 1axn/2 - 1/2

Answer: (a) axn/2

What is the arithmetic mean of the series is 1, 5, 52, ….5(n - 1)?

1. (5n + 1)/2
2. 5(n - 1)/2n
3. 5n/2n
4. (5n - 1)/4n

Answer: (d) (5n - 1)/4n

One number is selected from the first 60 natural numbers. What is the probability that it is root of the inequation? X + 144/x > 30

1. 14/30
2. 2/15
3. 41/60
4. 4/15

Answer: (c) 41/60

Observation of some data are x/5, x, x/3, 2x/3 , x/4, 2x/5 and 3x/4 where x > 0. If the median of the data is 6. Find the value of x.

1. 10
2. 20
3. 25
4. 15

Answer: (d) 15

A purse contains four fifty paise coins, three two-rupee coins and three five-rupee coins. If three coins are selected at random, then what is the probability of getting the minimum amount?

1. 1/30
2. 1/12
3. 1/15
4. 2/15

Answer: (a) 1/30

A basketball game among friends is played from 4 pm to 6 pm. Rohan arrives to watch the game (not before the game starts). If the probability that he will miss the only basket scored during the game, which takes place at the 20th minute is m/n , where m and n are in lowest terms, then find 3(m + n).

1. 15
2. 33
3. 56
4. 40

Answer: (b) 33

The odds against certain events are 5 : 2 and the odds in favour of another in dependent event are 6 : 5. What is the probability that atleast one of the event will happen?

1. 2/77
2. 1/15
3. 25/77
4. 52/77

Answer: (d) 52/77

Read the passage and answer the following question: A study was conducted to analyse the weekly working hours of employees in a factory. The data was collected and grouped into the following intervals: Find the median of the data. Weekly Hours (Class Interval) Frequency (f) 20-30 10 30-40 18 40-50 25 50-60 22 60-70 15 70-80 10

1. 12.5
2. 48.8
3. 56
4. 42.6

Answer: (b) 48.8