Arithmetic Reasoning problems
- 1. Which is called 'OFF State' in binary?
Options- A. 4
- B. 3
- C. 2
- D. 1 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 1
Explanation:
'0' is called OFF State in Binary...
- 2. How much does a gallon of water weigh?
Options- A. 2.741 kgs
- B. 2.956 kgs
- C. 3.418 kgs
- D. 3.785 kgs Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 3.785 kgs
Explanation:
1 Gallon = 3.785 kgs
Gallon is a unit of measurement of liquid.
We know that 1 gallon = 3.785 liters
But we know that,
1 cubic meter = 1000 lit or 1000 kgs
=> 1 lit = 1 kg
Hence, 1 gallon = 3.785 lit = 3.785 kgs.
- 3. What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?
Options- A. 3
- B. 5
- C. 7
- D. 9 Also asked in: Bank Exams, CAT, Bank Clerk, AIEEE
Correct Answer: 3
- 4. Two old friends, Jack and Bill, meet after a long time. Jack: Hey, how are you man? Bill: Not bad, got married and I have three kids now Jack: That?s awesome. How old are they? Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date. Jack: Cool ? But I still don?t know. Bill : My eldest kid just started taking piano lessons. Jack: Oh now I get it. How old are Bill?s kids ?
Options- A. 3, 3, 8
- B. 2, 6, 6
- C. 1, 6, 12
- D. 1, 8, 9 Also asked in: CAT, Bank Exams, Bank PO, Bank Clerk
Correct Answer: 3, 3, 8
Explanation:
Let?s break it down. The product of their ages is 72. So what are the possible choices?
2, 2, 18 ? sum(2, 2, 18) = 22
2, 4, 9 ? sum(2, 4, 9) = 15
2, 6, 6 ? sum(2, 6, 6) = 14
2, 3, 12 ? sum(2, 3, 12) = 17
3, 4, 6 ? sum(3, 4, 6) = 13
3, 3, 8 ? sum(3, 3, 8 ) = 14
1, 8, 9 ? sum(1,8,9) = 18
1, 3, 24 ? sum(1, 3, 24) = 28
1, 4, 18 ? sum(1, 4, 18) = 23
1, 2, 36 ? sum(1, 2, 36) = 39
1, 6, 12 ? sum(1, 6, 12) = 19
The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.
2, 6, 6 ? sum(2, 6, 6) = 14
3, 3, 8 ? sum(3, 3, 8 ) = 14
Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.
- 5. Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?
Options- A. 12 & 7
- B. 13 & 8
- C. 15 & 10
- D. 14 & 9 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 12 & 7
Explanation:
x ? y = 5
4x ? 6y = 6
x = 12 y = 7
- 6. 17 tens in unit form?
Options- A. One 1 Seven 7 Ten 10
- B. One 1 Seven 10 0 ones
- C. 1 hundred, 7 tens, 0 ones
- D. 1 ten and 7 ones Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 1 hundred, 7 tens, 0 ones
Explanation:
Firstly 17 tens = 17 x 10 = 170
17 tens = 170 in unit form can be written as 1 hundred, 7 tens, 0 ones.
- 7. A chord that passes through the center of a circle is
Options- A. secant
- B. tangent
- C. diameter
- D. perigram Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: diameter
- 8. Which of the following is a Composite number?
Options- A. 0
- B. 19
- C. 29
- D. 91 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
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, ...
- 9. What are the Multiples of 18?
Options- A. 144
- B. 72
- C. 306
- D. All the above Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
- 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.
Correct Answer: All the above
Explanation:
The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....
- 10. 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 Also asked in: Bank Exams, CAT, Bank Clerk, Bank PO
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.
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Programming
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