Average
- Out of 4 numbers, whose average is 60, the first one is onefourth of the sum of the last three. The first number is
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Let the first number be p,
then, p = 240 - x = 48 4
⇒ 4p = 240 – p
Correct Option: C
Let the first number be p,
then, p = 240 - x = 48 4
⇒ 4p = 240 – p
⇒ 5p = 240
⇒ p = 240 ÷ 5 = 48
- The average of first three numbers is thrice the fourth number. If the average of all the four numbers is 5, then find the fourth number.
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Let the numbers be a, b, c.
According to question ,a + b + c = 3d 3
&trArr; a + b + c = 9d .........( 1 )Again, a + b + c + d = 5 4
Correct Option: C
Let the numbers be a, b, c.
According to question ,a + b + c = 3d 3
&trArr; a + b + c = 9d .........( 1 )Again, a + b + c + d = 5 4
⇒ a + b + c + d = 20
⇒ 9d + d = 20 { ∴ from eq. ( 1 ) }
⇒ 10d = 20
⇒ d = 2
- The average monthly income of A and B is ₹ 14000, that of B and C is ₹ 15600 and A and C is ₹ 14400. The monthly income of C is
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Given , The average monthly income of A and B = ₹ 14000
⇒ A + B = 28,000 ...(i)
The average monthly income of B and C = ₹ 15600
⇒ B + C = 31,200 ...(ii)
The average monthly income of A and C = ₹ 14400
⇒ C + A = 28,800 ...(iii)
Adding, 2(A + B + C) = 88000
⇒ A + B + C = 44000Correct Option: A
Given , The average monthly income of A and B = ₹ 14000
⇒ A + B = 28,000 ...(i)
The average monthly income of B and C = ₹ 15600
⇒ B + C = 31,200 ...(ii)
The average monthly income of A and C = ₹ 14400
⇒ C + A = 28,800 ...(iii)
Adding, 2(A + B + C) = 88000
⇒ A + B + C = 44000
From equation (i),
28000 + C = 44000
⇒ C = 44000 – 28000 = 16000
- The average of 25 consecutive odd integers is 55. The highest of these integers is
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Here , Average of 25 consecutive odd numbers = 55
∴ Mid number i.e. 13th number = 55Correct Option: A
Here , Average of 25 consecutive odd numbers = 55
∴ Mid number i.e. 13th number = 55
∴ 25th number = 55 + 2 × 12
25th number = 55 + 24 = 79
- If the average of 6 consecutive even numbers is 25, the difference between the largest and the smallest number is
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Let Numbers = y , y + 2, ...., y + 10
∴ Required difference = largest number - smallest numberCorrect Option: B
Let Numbers = y , y + 2, ...., y + 10
∴ Required difference = largest number - smallest number
Required difference = y + 10 – y = 10