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- Question
In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted with each colour, then one colour will remain. Find the number of houses in that street ?
Options- A. 25
- B. 6
- C. 32
- D. 7
- Correct Answer
- 25
ExplanationLet x be number of houses and y be colors.
on the basis of question
x = 4y+1
x = 5(y-1)
on solving these 2 equations x = 25 - 1. 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
- 2. 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
- 3. 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
- 4. Every integer is a rational number.
Options- A. TRUE
- B. FALSE Discuss
- 5. 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
- 6. There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ?
Options- A. 2596
- B. 1024
- C. 256
- D. 64 Discuss
- 7. If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term ?
Options- A. -3
- B. -2
- C. 0
- D. 1 Discuss
- 8. Two angles whose sum is 180 degrees are
Options- A. Complimentary angles
- B. Supplementary angles
- C. Alternate angles
- D. None of the above Discuss
- 9. The binary system uses powers of
Options- A. 0
- B. 1
- C. 2
- D. None of the above Discuss
- 10. a2 + b2 + c2 -ab- bc - ca = 0, iff
Options- A. abc = -1
- B. a = b = c
- C. abc = 1
- D. abc = 0 Discuss
Arithmetic Reasoning problems
Search Results
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 %
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: 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: 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: 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: 1024
Explanation:
Fruits reduced by 1/4.
Total no. of bags N = 5
Formula to find no. of fruits in 1st bag = 4^n
Last Bag = 4 fruits.
That means, 4th bag = 4 x 4 = 16 fruits
3rd bag = 16 x 4 = 64 fruits
2nd bag = 64 x 4 = 256 fruits
1st bag = 256 x 4= 1024 fruits.
Correct Answer: -2
Explanation:
We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2
Hence, the 49th term is -2.
Correct Answer: Supplementary angles
Explanation:
Two angles whose sum is 180 degrees are called supplementary angles.
Correct Answer: 2
Explanation:
Binary system is what the representation uses only two digits 0 & 1.
It uses only the powers of 2.
Correct Answer: a = b = c
Explanation:
Here given formula is
and it is possible if and only if a = b = c.
From the trial and error method,
1) Let a = b = c = 1
Now substitute these values of a, b, c in the above formula.
We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0
2) Now, let a = b = c = 4
Now substitute these values of a, b, c in the above formula.
We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.
Hence, it is possible that
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