Q: 20 men went to a restaurant. Ninteen of them paid Rs.70 each and the twentieth man paid Rs.90.25 more than the average of all the 20 men. What is the total bill ?

Let the average bill paid by twenty members = 'x' But 19 men paid each = Rs. 70 20th man paid Rs. 90.25 more than the avg bill of 20 = x + 90.25 20x = 19(70) + x + 90.25 19x = 1330 + 90.25 19x = 1420.25 x = 1420.25/19 = Rs. 74.75 But the total bill = 20 x 74.75 = Rs. 1495.

Q: The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is :

Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99) / 9 =( (11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55) / 9 = (4 * 110 + 55)/9 = 495 / 9 = 55.

Q: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ?

Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12 To raise the average by one (from 14 to 15), he scored 12 more than the existing average. Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

Question 1

On a school’s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?

Accepted Answer

Let 'K' be the total number of sweets. Given total number of students = 112 If sweets are distributed among 112 children, Let number of sweets each student gets = 'L' => K/112 = L ....(1) But on that day students absent = 32 => remaining = 112 - 32 = 80 Then, each student gets '6' sweets extra. => K/80 = L + 6 ....(2) from (1) K = 112L substitute in (2), we get 112L = 80L + 480 32L = 480 L = 15 Therefore, 15 sweets were each student originally supposed to get.

Question 2

The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?

Accepted Answer

Manager's monthly salary = Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500

Question 3

Sriram was conducting an experiment in which the average of 11 observations came to be 92, while the average of first five observations was 89, and that of the last five was 86. What was the measure of the 6th observation ?

Accepted Answer

This can be done as, (11 × 92) - (5 × 89) - (5 × 86) = 1012- 445 - 430 = 137

Question 4

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is

Accepted Answer

Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years. Sum of the present ages of wife and child (20 x 2 + 5 x 2) years = 50 years. Husband's present age = (90 - 50) years = 40 years.

Question 5

The average value of property of Mittal, Ambani and Singhania is Rs.11111 crore. The property of Singhania is as less than the property of Mittal is greater than the average property of both the Singhania and Mittal. The value of property of Ambani …

Accepted Answer

M + A + S 3 = 11111 also S + M 2 = 11111 ( ∵ M - 11111 = 11111 - S) =>A = 11111

Question 6

8 years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. What is the age of his wife at the…

Accepted Answer

Since we know that the difference b/w the age of any two persons remains always constant, while the ratio of their ages gets changed as the time changes. so, if the age of his child be x (presently) Then the age of wife be x + 26 (presently) Thus the total age = x + ( x + 26) = 32 [ ∵ 252-220 =32] => x = 3 Therefore, The age of her child is 3 years and her self is 29 years. Hence her age at the time of the birth of her child was 26 years.

Question 7

The average of 26,29,n,35 and 43 lies between 25 and 35. If n is always an integer and greater than the average of the given integers then the value of n is :

Accepted Answer

Average of 26,29,35 and 43 is 33.25 . Also the average of 26 , 29, n, 35 and 43 lies between 25 and 35 i.e, 25 < 26 + 29 + n + 35 + 43 5 < 35 => 125 < 26+29+n+35+43 < 175 => 125 < 133 + n < 175 => n < 42 Since the value of n is an integer and greater than 33.25 then 33 < n < 42 for every integer n.

Question 8

20 men went to a restaurant. Ninteen of them paid Rs.70 each and the twentieth man paid Rs.90.25 more than the average of all the 20 men. What is the total bill ?

Accepted Answer

Let the average bill paid by twenty members = 'x' But 19 men paid each = Rs. 70 20th man paid Rs. 90.25 more than the avg bill of 20 = x + 90.25 20x = 19(70) + x + 90.25 19x = 1330 + 90.25 19x = 1420.25 x = 1420.25/19 = Rs. 74.75 But the total bill = 20 x 74.75 = Rs. 1495.

Question 9

The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is :

Accepted Answer

Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99) / 9 =( (11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55) / 9 = (4 * 110 + 55)/9 = 495 / 9 = 55.

Question 10

A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ?

Accepted Answer

Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12 To raise the average by one (from 14 to 15), he scored 12 more than the existing average. Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

Question 11

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?

Accepted Answer

Total number of students = 54 x 30 When arranged in rows of 45, number of rows formed are, 54 x 30 45 = 36.

Question 12

A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family ?

Accepted Answer

Required average = (67 * 2 + 35 * 2 + 6 * 3) / (2 + 2 + 3) = (134 + 70 + 18) / 7 = 222 / 7 = 31(5/7) years.

Question 13

Of the following, which is greater than ½ ? Indicate ALL such fractions.

Accepted Answer

One way to deal with fractions is to convert them all to decimals. In this case all you would need to do is to see which is greater than 0.5. Otherwise to see which is greater than ½, double the numerator and see if the result is greater than the denominator. In B doubling the numerator gives us 8, which is bigger than 7.

Question 14

The average of a non-zero number and its square is 11 times the number. The number is ?

Accepted Answer

Let the number be 'x'. x + x 2 2 = 11x x 2 = 22x => x = 22.

Question 15

Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is:

Accepted Answer

Amithab's total expenditure for Jan - June = 4200 x 6 = 25200 Expenditure for Feb - June = 25200-1200 = 24000 Expenditure for the months of Feb - July = 24000 + 1500 =25500 The average expenditure = 25500/6 = 4250

Question 16

Out of the five integral numbers C is the average of A and D. B is greater than C and less than D.Also B is the average of A and E . The middle most number in the sequence

Accepted Answer

D _ C _ A --------(1) D > B > C --------(2) from (1) and (2) D > B > C > A ---------(3) Again E _ B _ A But B > A, from (3) So E > D > B > C > A [ Since B is the average of E and A so it is eqidistant from both E and A]

Question 17

In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What cou…

Accepted Answer

3X + 4y = 240 by substitute through options 48 is correct

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