averages Model Questions & Answers, Practice Test for ssc cgl tier 2
The average age of a group of 10 students is 15 yrs. When 5 more students joined the group the average age rose by 1 yr. The average age (in years) of the new students is
Answer: (b)
Total age of 10 students
= 15 × 10 = 150 yrs
Total age of 15 students
= 15 × 16= 240 yrs
∴ Average of new students
= ${240 - 150}/5$ = 18 yrs.
In a bag, there are 150 coins of Rs. 1,50 p and 25 p denominations. If the total value of coins is Rs. 150, then find how many rupees can be constituted by 50 coins.
Answer: (d)
For 150 coins to be of a value of Rs.150, using only 25 paise, 50 paise and Rs. 1 coins, we cannot have any coins lower than the value of Rs. 1.
Thus, the number of 50 paise coins would be 0. Option (d) is correct.
Out of the three given numbers, the first number is twice the second and thrice the third. If the average of the three numbers is 121, what is the difference between the first and the third number?
Answer: (b)
Let the third number be = x
∴ First number = 3x and
second number = ${3x}/2$
According to the question.
or, $3x + {3x}/2 + x = 3 × 121$
or, ${6x + 3x + 2x}/2$ = 3 × 121
or, ${11x}/2$ = 3 × 121
∴ $x = {3 × 121 × 2}/11$ = 66
∴ Third number = 66
Required difference
= 3x – x = 2x = 2 × 66 = 132
In a class room the ratio of number of girls to that of boys is 3 : 4. The average height of students in the class is 4.6 feet. If the average height of the boys in the class is 4.8 feet, then what is the average height of the girls in the class ?
Answer: (b)
Let number of boys and girls in the class is 4x and 3x also Average height of girl is h
Now,
⇒ 7x × 4.6 = 4x × 4.8 + 3x × h
⇒ 32.2x = 19.2x + 3x × h
∴ h = $13/3$ = $4.\ov3$
Find the average of the following set of numbers : 148, 88, 184, 166, 96, 122
Answer: (e)
Avg. = ${148 + 88 + 184 + 166 + 96 + 122}/6$
= 134
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