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

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Question
The average of a non-zero number and its square is 11 times the number. The number is ?
Options
A. 22
B. 21
C. 11
D. 17

Correct Answer

22

Explanation

Let the number be 'x'.

$\frac{x + x^{2}}{2}$ = 11x
$x^{2}$ = 22x
=> x = 22.

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1. Of the following, which is greater than � ? Indicate ALL such fractions.
Options
A. 2/5
B. 4/7
C. 4/9
D. 5/11

2. 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 ?
Options
A. 31( 5/7)
B. 32 (6/7)
C. 34(4/7)
D. 35(4/9)

3. 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 ?
Options
A. 22
B. 36
C. 32
D. 26

4. 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 ?
Options
A. 74
B. 79
C. 72
D. 60

5. The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is :
Options
A. 53
B. 54
C. 55
D. 56

6. 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:
Options
A. Rs. 4250
B. Rs. 4520
C. Rs. 4060
D. None of these

7. 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
Options
A. A
B. B
C. C
D. D

8. 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 could be the number of three wheelers parked therein ?
Options
A. 48
B. 41
C. 45
D. 43

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