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## Average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers ?

**A. 8**B. 15

C. 23

D. 33Let the numbers x, x + 2, x + 4, x + 6 and x + 8

Then, [x + (x + 2) + (x + 4) + (x + 6) + (x + 8)]5 = 61

or 5x + 20 = 305 => x = 57

So, required difference = (57 + 8) – 57 =**8**## Average of non-zero number and its square is 5 times the number. The number is ____ ?

A. 5

**B. 9**C. 17

D. 65(x + x2)/2 = 5x => x2 – 9x = 0

=> x(x – 9) = 0

=> x = 0 or x = 9

So, the number is**9**## Average of the two-digit numbers, which remain the same when the digits interchange their positions, is ____ ?

**A. 55**B. 12

C. 34

D. 98Average = (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**## Find the average of all the numbers between 6 and 34 which are divisible by 5 ?

A. 45

B. 12**C. 20**D. 18Average = (10 + 15 + 20 + 25 + 30)/5 = 100/5 =

**20**## Average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?

A. 12

**B. 19**C. 30

D. 45Average of 20 numbers = 0

Sum of 20 numbers = (0 * 20) = 0

It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).## Adnan Sami obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks ?

A. 23

B. 43

C. 70**D. 75**Average = (76 + 65 + 82 + 67 + 85)/5 = 375/5 =

**75**## A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls ?

A. 50, 70

B. 40, 80

C. 70, 50**D. 60, 60**Number of girls is 120 – x.

Total number of chocolates received by boys and girls = 2x + 3(120 – x) = 300

=> 360 – x = 300 => x = 60.

So, the number of boys or girls is**60**## Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest ?

A. 3 : 2

B. 2 : 1**C. 5 : 1**D. 4 : 1Amount lent at 10% is Rs. (6000 – x)

Total interest for one year on the two sums lent

= 7/100 x + 10/100 (6000 – x) = 600 – 3x/100

=> 600 – 3/100 x = 450 => x = 5000

Amount lent at 10% = 1000

Required ratio = 5000 : 1000 =**5 : 1**## A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32% ?

A. Rs. 24500

**B. Rs. 21000**C. Rs. 17500

D. Rs. 19000Total selling price of televisions = x + 30/100 x + (35000 – x) + 40/100 (35000 – x)

=> 130/100 x + 140/100 (35000 – x) = 35000 + 32/100 (35000)

x = 28000

35000 – x = 7000

Difference in the cost prices of televisions =**Rs. 21000**## Average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group ?

**A. 23**B. 87

C. 21

D. 22From the data,

48n + 78 + 93 = 51(n + 2) => 51n – 48n = 69 => n =**23**

Therefore there were 23 members in the group initially.