Average
- The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. The average of the remaining two numbers is
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Given Here , Sum of six numbers = 6 × 3.95
Sum of two numbers = 2 × 3.4
Sum of other two numbers = 2 × 3.85
Sum of remaining two numbers = 6 × 3.95 – 2 × 3.4 – 2 × 3.85
Sum of remaining two numbers = 23.7 – 6.8 – 7.7 = 9.2Correct Option: A
Given Here , Sum of six numbers = 6 × 3.95
Sum of two numbers = 2 × 3.4
Sum of other two numbers = 2 × 3.85
Sum of remaining two numbers = 6 × 3.95 – 2 × 3.4 – 2 × 3.85
Sum of remaining two numbers = 23.7 – 6.8 – 7.7 = 9.2∴ Required average = 9.4 = 4.6 2
- The average of the largest and smallest 3 digit numbers formed by 0 , 2 and 4 would be
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Largest 3–digit number formed by 0, 2 and 4 = 420
Smallest number of three digits = 204∴ Required average = 420 + 204 = 624 2 2 Correct Option: A
Largest 3–digit number formed by 0, 2 and 4 = 420
Smallest number of three digits = 204∴ Required average = 420 + 204 = 624 = 312 2 2
- Three numbers are such that the average of first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4, then the average of three numbers is equal to
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Numbers in order
⇒ a, b and c
According to question ,
∴ a + b = 2 × 2 = 4
b + c = 2 × 3 = 6
c + a = 2 × 4 = 8
On adding,
2 (a + b + c) = 4 + 6 + 8 = 18⇒ a + b + c = 18 = 9 2
Correct Option: C
Numbers in order
⇒ a, b and c
According to question ,
∴ a + b = 2 × 2 = 4
b + c = 2 × 3 = 6
c + a = 2 × 4 = 8
On adding,
2 (a + b + c) = 4 + 6 + 8 = 18⇒ a + b + c = 18 = 9 2 ∴ Required average = 9 = 3 3
- The average temperature of the first 4 days of a week was 37°C and that of the last 4 days of the week was 41°C. If the average temperature of the whole week was 39°C, the temperature of the fourth day was
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According to question ,
M + T + W + TH = 4 × 37 = 148°C ........ (i)
TH + F + S + S = 4 × 41 = 164°C ........ (ii)
M + T +....+ S + S = 7 × 39 = 273°C ........ (iii)
∴ The temperature of the fourth day = ( M + T + W + TH ) + ( TH + F + S + S ) - ( M + T +....+ S + S )Correct Option: C
According to question ,
M + T + W + TH = 4 × 37 = 148°C ........ (i)
TH + F + S + S = 4 × 41 = 164°C ........ (ii)
M + T +....+ S + S = 7 × 39 = 273°C ........ (iii)
∴ The temperature of the fourth day = ( M + T + W + TH ) + ( TH + F + S + S ) - ( M + T +....+ S + S )
The temperature of the fourth day = 148 + 164 – 273 = 39°C
- The average of 8 numbers is 20. The average of first two numbers is
seventh and eighth numbers by 4 and 7 respectively, then the eighth number is :15 1 and that of the next three is 21 1 If the sixth number be less than the 2 3
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According to question ,
Sum of 8 numbers = 20 × 8 = 160Sum of the first two numbers = 31 × 2 = 31 2 Sum of next three numbers = 64 × 3 = 64 3
Sum of the remaining three numbers = 160 – (31 + 64)
Sum of the remaining three numbers = 160 – 95 = 65
Let 6th number = p
∴ 7th number = p + 4,
8th number = p + 7
⇒ p + p + 4 + p + 7 = 65
Correct Option: C
According to question ,
Sum of 8 numbers = 20 × 8 = 160Sum of the first two numbers = 31 × 2 = 31 2 Sum of next three numbers = 64 × 3 = 64 3
Sum of the remaining three numbers = 160 – (31 + 64)
Sum of the remaining three numbers = 160 – 95 = 65
Let 6th number = p
∴ 7th number = p + 4,
8th number = p + 7
⇒ p + p + 4 + p + 7 = 65
⇒ 3p = 65 – 11⇒ p = 54 = 18 3
∴ Eighth number = p + 7 = 18 + 7 = 25
