Arithmetic Reasoning problems
- 1. When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ?
Options- A. 188 million
- B. 166 2/3 million
- C. 192 3/4 million
- D. None Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 166 2/3 million
Explanation:
5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.
- 2. Every rational number is an integer.
Options- A. TRUE
- B. FALSE Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
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.
- 3. 3 divided by 1/3?
Options- A. 1
- B. 0
- C. 9
- D. None Also asked in: AIEEE, Bank Exams, Analyst, Bank Clerk, Bank PO
Correct Answer: 9
Explanation:
3 divided by 1/3
=>
= 3 x 3/1
= 9
- 4. 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 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
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.
- 5. 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 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
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.
- 6. 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 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
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
- 7. 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 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
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.
- 8. 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 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
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.
- 9. What is the value of 62 tens?
Options- A. 6
- B. 620
- C. 62
- D. 2 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
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.
- 10. How many joins require for 5 tables to join straight?
Options- A. 4
- B. 5
- C. 6
- D. 10 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 4
Explanation:
To join 5 tables we require 4 joins.
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