average Model Questions & Answers, Practice Test for ibps so prelims
Seema’s present age is four times her son’s present age and four-seventh of her father’s present age. The average of the present ages of all three of them is 32 years. What is the difference between the Seema’s son’s present age and Seema’s father’s present age ?
Answer: (c)
Let Seema's present age be x years.
Then, Seema's son's present age = $x/4$ years
Seema's father's present age = ${7x}/4$ years.
Then, $x + x/4 + {7x}/4 = 32 × 3$
12x = 96 × 4
$x = {96 × 4}/12 = 32$
∴ Required difference = ${7 × 32}/4 - 32/4$
= 56 – 8 = 48 years
The average of 5 consecutive even numbers A, B,C,D and E is 52. What is the product of B and E?
Answer: (d)
Let the five consecutive even numbers be
x, x + 2, x + 4, x + 6 and x + 8 respectively.
According to the question,
x + x + 2 + x + 4 + x + 6 + x + 8 = 5 × 52
or 5x + 20 = 260
or 5x = 260 – 20
or $x = 240/5$ = 48
∴ B = x + 2 = 48 + 2 = 50 and
E = x + 8 = 48 + 8 = 56
∴ B × E = 50 × 56 = 2800
The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that D, replaces A then the average weight of B, C, D and E becomes 75 kg. The weight of A is
Answer: (a)
D's weight = 4 × 80 – 3 × 84 = 320 – 252 = 68.
E's weight = 68 + 3 = 71.
Now, we know that A + B + C + D = 4 × 80 = 320 and
B + C + D + E = 78 × 4 = 312.
Hence, A's weight is 8 kg more than E's weight.
A = 71 + 8 = 79.
Of the three numbers, the average of the first and the second is greater than the average of the second and the third by 15. What is the difference between the first and the third of the three numbers?
Answer: (d)
Let the numbers are x, y and z.
Then, $({x + y}/2) - ({y + z}/2)$ = 15
or (x + y) – (y + z) = 30
or x – z = 30
There were five sections in MAT paper. The average score of Pooja in first 3 sections was 83 and the average in the last 3 sections was 97 and the average of all the sections (i.e., whole paper) was 92, then her score in the third section was
Answer: (d)
a + b + c + d + e = 5 × 92 = 460
a + b + c = 3 × 83 = 249
c + d + e = 3 × 97 = 291
∴ c = (a + b + c) + (c + d + e) – (a + b + c + d + e)
or c = 540 – 460 or c = 80
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