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- Question
The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ?
Options- A. 6
- B. 9
- C. 7
- D. 5
- Correct Answer
- 5
ExplanationArithmatic mean = sum/members
=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)
=> 140/28 = 5
- 1. There are n boxes and m fruits. If we put 3 fruits in each box 3 fruits will be excess. If we put 4 fruits in each box 1 box will be excess. Find number of boxes and fruits ?
Options- A. 3 & 9
- B. 6 & 19
- C. 7 & 24
- D. 5 & 18 Discuss
- 2. How many joins require for 5 tables to join straight?
Options- A. 4
- B. 5
- C. 6
- D. 10 Discuss
- 3. What is the value of 62 tens?
Options- A. 6
- B. 620
- C. 62
- D. 2 Discuss
- 4. If x = ?8 - ?7, y = ?6 - ?5 and z = ?10 - 3, which of the following is true ?
Options- A. x > y < z
- B. x < y < z
- C. x > y > z
- D. z < x < y Discuss
- 5. The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:
Options- A. 30
- B. 27
- C. 23
- D. 33 Discuss
- 6. Which statement best compares a line and a point?
Options- A. A point has no dimension and a line has one dimension.
- B. A line can have line segments on it whereas a point cannot be on any line segment.
- C. point is a location whereas a line has several planes located on it
- D. A line can lie on a plane whereas a point cannot lie on a plane. Discuss
- 7. Every integer is a rational number.
Options- A. TRUE
- B. FALSE Discuss
- 8. There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ?
Options- A. 100
- B. 70
- C. 120
- D. 80 Discuss
- 9. On sport?s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ?
Options- A. 44
- B. 46
- C. 48
- D. 49 Discuss
- 10. Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?
Options- A. 991/16 %
- B. 900/19 %
- C. 874/13 %
- D. 719/17 % Discuss
Arithmetic Reasoning problems
Search Results
Correct Answer: 7 & 24
Explanation:
7 boxes & 24 Balls.
Let, n = No. of boxes ; m = No. of fruits
3n+3 = m---------->(1)
4(n-1)= m---------->(2)
=>4n-4 = 3n+3;
=>4n-3n = 4+3
n = 7
Put n=7 in eqn(1)
=> 3(7)+3 = m
21+3 = m
m = 24;
Number of boxes = 7 and fruits = 24
Correct Answer: 4
Explanation:
To join 5 tables we require 4 joins.
Correct Answer: 620
Explanation:
Here in the question it is asked that 62 tens, which implies ten times of 62.
=> 62 x 10 = 620.
Hence, the value of 62 tens = 620.
Correct Answer: z < x < y
Explanation:
x = ?8 - ?7 = 1/(?8 + ?7) and y = ?6 - ?5 = 1/(?6 + ?5) and z = ?10 - 3 = 1/(?10 + 3)
As (?8 + ?7) > (?6 + ?5), (?8 - ?7) < (?6 - ?5)
As (?10 + 3) > (?8 + ?7) > (?6 + ?5)
z < x < y.
Correct Answer: 30
Explanation:
Then, A:B = 2:3 and B:C = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5
A:B:C = 2:3:24/5
= 10:15:24 => B = 98 x 15/49 = 30.
Correct Answer: A point has no dimension and a line has one dimension.
Explanation:
A point has no dimension and a line has one dimension is the statement that best compares a line and a point.
Correct Answer: TRUE
Explanation:
Yes, Every integer is a rational number. A rational number is a number which can be expressed as a ratio of two integers numerator and denominator where (the denominator not being 0 ).
Hence, Every integer can be expressed in ratio of two integers.
Correct Answer: 80
Explanation:
If 'k' is number of students in P and 'l' is number of students in Q, then
From the given conditions, we have
=> k - 10 = l + 10 .......(1)
=> k + 20 = 2(l - 20) ....(2)
Solving these eqns, we get
k = 100 and l = 80.
Therefore, number of students in class Q is 80.
Correct Answer: 48
Explanation:
No. of students will be 98 x 12 = 1176
let us consider n circles then 1 + 2 + 3 + ....+ n = 1176
n(n+1)/2 = 1176
n = 48 circles.
Correct Answer: 900/19 %
Explanation:
First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %
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