Arithmetic Reasoning problems
- 1. Two angles whose sum is 180 degrees are
Options- A. Complimentary angles
- B. Supplementary angles
- C. Alternate angles
- D. None of the above Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: Supplementary angles
Explanation:
Two angles whose sum is 180 degrees are called supplementary angles.
- 2. The binary system uses powers of
Options- A. 0
- B. 1
- C. 2
- D. None of the above Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 2
Explanation:
Binary system is what the representation uses only two digits 0 & 1.
It uses only the powers of 2.
- 3. a2 + b2 + c2 -ab- bc - ca = 0, iff
Options- A. abc = -1
- B. a = b = c
- C. abc = 1
- D. abc = 0 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: a = b = c
Explanation:
Here 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
- 4. 3x3x3+3+3/3 = ?
Options- A. 11
- B. 3.33
- C. 31
- D. None of the above Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
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.
- 5. 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 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
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.
- 6. Which of the following number is divisible by 24?
Options- A. 37804
- B. 2015736
- C. 36718
- D. 53810 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
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.
- 7. 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 Also asked in: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
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.
- 8. 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 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
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.
- 9. Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?
Options- A. 240 gms
- B. 280 gms
- C. 180 gms
- D. 170 gms Also asked in: Bank Exams, Bank Clerk
Correct Answer: 240 gms
Explanation:
The nine pieces consist of 8 smaller equal pieces and one half cake piece.
Weight of each small piece = 15 g.
So, total weight of the cake = [2 x (15 x 8)]g = 240 g.
- 10. An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ?
Options- A. 11 days
- B. 15 days
- C. 13 days
- D. 16 days Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 11 days
Explanation:
Let 'n' number of days it take to complete.
we know that sum of n number= n/2[2a+(n-1)d]
where a=20,d=1;
n/2[2x20+(n-1)1]=275
n[n+39]=550
+ 39n - 550 = 0
+ 50n - 11n - 550 = 0
(n-11) (n-50) = 0
n-11 = 0;
n = 11(Days).
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