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- Question
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
- Correct Answer
- 7 & 24
Explanation7 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
- 1. How many joins require for 5 tables to join straight?
Options- A. 4
- B. 5
- C. 6
- D. 10 Discuss
- 2. What is the value of 62 tens?
Options- A. 6
- B. 620
- C. 62
- D. 2 Discuss
- 3. 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
- 4. 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
- 5. O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?
Options- A. 10
- B. 6
- C. 35/4
- D. 45/4 Discuss
- 6. 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 Discuss
- 7. 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
- 8. Every integer is a rational number.
Options- A. TRUE
- B. FALSE Discuss
- 9. 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
- 10. 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
Arithmetic Reasoning problems
Search Results
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: 45/4
Explanation:
As clear from the figure itself, triangle OQX and triangle O'PX are similar.
So,
OQ/O'P = OX/O'X
=> OX = (7/9)xO'X
And since, OX + O'X = 20
=> (7/9)xO'X + O'X = 20
=> O'X = 45/4
Correct Answer: 5
Explanation:
Arithmatic mean = sum/members
=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)
=> 140/28 = 5
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.
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