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- Question
a2 + b2 + c2 -ab- bc - ca = 0, iff
Options- A. abc = -1
- B. a = b = c
- C. abc = 1
- D. abc = 0
- Correct Answer
- a = b = c
ExplanationHere given formula is
and it is possible if and only if a = b = c.
From the trial and error method,
1) Let a = b = c = 1
Now substitute these values of a, b, c in the above formula.
We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0
2) Now, let a = b = c = 4
Now substitute these values of a, b, c in the above formula.
We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.
Hence, it is possible that
- 1. The binary system uses powers of
Options- A. 0
- B. 1
- C. 2
- D. None of the above Discuss
- 2. Two angles whose sum is 180 degrees are
Options- A. Complimentary angles
- B. Supplementary angles
- C. Alternate angles
- D. None of the above Discuss
- 3. If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term ?
Options- A. -3
- B. -2
- C. 0
- D. 1 Discuss
- 4. There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ?
Options- A. 2596
- B. 1024
- C. 256
- D. 64 Discuss
- 5. In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted with each colour, then one colour will remain. Find the number of houses in that street ?
Options- A. 25
- B. 6
- C. 32
- D. 7 Discuss
- 6. 3x3x3+3+3/3 = ?
Options- A. 11
- B. 3.33
- C. 31
- D. None of the above Discuss
- 7. How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?
Options- A. 8
- B. 9
- C. 10
- D. 11 Discuss
- 8. Which of the following number is divisible by 24?
Options- A. 37804
- B. 2015736
- C. 36718
- D. 53810 Discuss
- 9. The expression of 5008 km in scientific notation is
Options- A. 50.08 x 10^3 kms
- B. 5.008 x 10^-3 kms
- C. 5.008 x 10^3 kms
- D. 500.8 x 10^3 kms Discuss
- 10. What is the value of a two?digit number? A. The sum of the digits is 15. B. The difference of the squares of the digits is 45. C. The difference of their digits is 3.
Options- A. B and C together are sufficient
- B. Any one pair of A and B, B and C or C and A is sufficient
- C. C and A together are sufficient
- D. A and B together are sufficient Discuss
Arithmetic Reasoning problems
Search Results
Correct Answer: 2
Explanation:
Binary system is what the representation uses only two digits 0 & 1.
It uses only the powers of 2.
Correct Answer: Supplementary angles
Explanation:
Two angles whose sum is 180 degrees are called supplementary angles.
Correct Answer: -2
Explanation:
We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2
Hence, the 49th term is -2.
Correct Answer: 1024
Explanation:
Fruits reduced by 1/4.
Total no. of bags N = 5
Formula to find no. of fruits in 1st bag = 4^n
Last Bag = 4 fruits.
That means, 4th bag = 4 x 4 = 16 fruits
3rd bag = 16 x 4 = 64 fruits
2nd bag = 64 x 4 = 256 fruits
1st bag = 256 x 4= 1024 fruits.
Correct Answer: 25
Explanation:
Let x be number of houses and y be colors.
on the basis of question
x = 4y+1
x = 5(y-1)
on solving these 2 equations x = 25
Correct Answer: 31
Explanation:
We all know about BODMAS rule, by using that
3x3x3+3+3/3
= 3x3x3+3+1
= 27+3+1
= 27 + 4
= 31
Hence, 3x3x3+3+3/3 = 31.
Correct Answer: 9
Explanation:
Perimeter = 36
? 2 ( l + w ) = 36
? l + w = 18
Since length and width are positive integers in centimeters.
Therefore, possible dimensions are :
( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.
Hence, there are 9 rectangles.
Correct Answer: 2015736
Explanation:
Divisibility rule for 24 is the number should be divisible by 3 and 8. As we know that 24 = 3 x 8
Now,
Divisibility rule for 3 :
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
Divisibility rule for 8 :
The last three digits of a number should be divisible by 8.
Hence, check for the given options,
A) 37804 => 804 is not divible by 8.
C) 36718 => 718 is not divible by 8.
D) 53810 => 810 is not divible by 8.
B) 2015736 => 736 is divisble by 8 and sum 2 + 0 + 1 + 5 + 7 + 3 + 6 = 24 which is divisible by 3.
Hence, 2015736 is divisible by 24.
Correct Answer: 5.008 x 10^3 kms
Explanation:
We know that, any decimal number when multiplied by the multiples of 10, the decimal point moves to right the number of zeroes in the multiplying number.
For example ::
0.0410 x 100 = 4.10 (Number of zeros in 100 are 2. So, the decimal point in 0.0410 moves two places to the right and becomes 4.10.)
Similarly, here in the option C) 5.008 x 10^3 kms it makes 5008 kms as the number of zeros in 10^3 i.e, 1000 are 3 and 5.008 becomes 5008.
Correct Answer: Any one pair of A and B, B and C or C and A is sufficient
Explanation:
From the given data,
Let the two gits of a number be x & y
A) x + y = 15
B)
(x+y) (x - y) = 45
C) x - y = 3
From any 2 of the given 3 statements, we can find that 2 digit number as
2x = 18 => x = 9
=> y = 6
Hence, 2 digit number is 96.
Any one pair of A and B, B and C or C and A is sufficient to find.
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