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- Question
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
- Correct Answer
- 30
ExplanationThen, 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. - 1. 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
- 2. Virus doubles every 3 mins. It is 'K' in 1 hour, when was it K/4 ?
Options- A. 29 min
- B. 25 min
- C. 54 min
- D. 57 min Discuss
- 3. If 200 cats kill 200 mice in 200 days, then 8 cats would kill 8 mice in how many days ?
Options- A. 8 days
- B. 200 days
- C. 800 days
- D. 1 day Discuss
- 4. 3 divided by 1/3?
Options- A. 1
- B. 0
- C. 9
- D. None Discuss
- 5. Every rational number is an integer.
Options- A. TRUE
- B. FALSE Discuss
- 6. 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
- 7. What is the value of 62 tens?
Options- A. 6
- B. 620
- C. 62
- D. 2 Discuss
- 8. How many joins require for 5 tables to join straight?
Options- A. 4
- B. 5
- C. 6
- D. 10 Discuss
- 9. 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
- 10. 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
Arithmetic Reasoning problems
Search Results
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: 54 min
Explanation:
If virus is K in 1hr i.e 60 min
then in 57 min it was K/2 as it doubles every 3 minutes
=> In 54 min it was K/4.
At 54 minutes it was K/4.
Correct Answer: 200 days
Explanation:
As given
200 cats kill 200 mice in 200 days
1 cats kill 1 mouse in 200 days
Then
8 cats kill 8 mice in 200 days.
Correct Answer: 9
Explanation:
3 divided by 1/3
=>
= 3 x 3/1
= 9
Correct Answer: FALSE
Explanation:
Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers.
Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer.
Therefore the given statement that 'Every rational number is an integer' is FALSE.
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: 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: 4
Explanation:
To join 5 tables we require 4 joins.
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: 5
Explanation:
Arithmatic mean = sum/members
=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)
=> 140/28 = 5
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