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- Question
Every rational number is an integer.
Options- A. TRUE
- B. FALSE
- Correct Answer
- FALSE
ExplanationAny 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.
- 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 Discuss
- 2. A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1995. She ended counting on which finger ?
Options- A. Thumb
- B. Index finger
- C. Ring finger
- D. Middle finger Discuss
- 3. What are the Multiples of 18?
Options- A. 144
- B. 72
- C. 306
- D. All the above Discuss
- Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0.
- An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.
- 4. Which of the following is a Composite number?
Options- A. 0
- B. 19
- C. 29
- D. 91 Discuss
- 5. A chord that passes through the center of a circle is
Options- A. secant
- B. tangent
- C. diameter
- D. perigram Discuss
- 6. 3 divided by 1/3?
Options- A. 1
- B. 0
- C. 9
- D. None Discuss
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Arithmetic Reasoning problems
Search Results
Correct Answer: 166 2/3 million
Explanation:
5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.
Correct Answer: Middle finger
Explanation:
Clearly, while counting the numbers associated to the thumb will be 1,9,17,25,.........
i.e., numbers of the form (8n + 1 ).
where n=1,2,3...
Since 1994 = 249 × 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger and 1995 to the middle finger.
Correct Answer: All the above
Explanation:
The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....
Correct Answer: 91
Explanation:
Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself.
Composite Numbers :
A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself).
Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...
Correct Answer: diameter
Correct Answer: 9
Explanation:
3 divided by 1/3
=>
= 3 x 3/1
= 9
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: 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: 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: 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.
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