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- Question
A plane is an undefined term because it
Options- A. is a flat surface that extends indefinitely in all directions
- B. is where other geometric shapes can be constructed
- C. is described generally, not using a formal definition
- D. can be named using three noncollinear points
- Correct Answer
- is described generally, not using a formal definition
ExplanationIn geometry, we can define plane as a flat surface with no thickness.
The surface extends with no ends.
A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.
Hence, A plane is an undefined term because it is described generally, not using a formal definition.
- 1. In a class there are certain no. of boys and girls. If 15 girls are absent then no. of boys will be twice that of girls. If 45 boys are absent then girls strength will be 5 times that of boys. Find number of boys actually present ?
Options- A. 40
- B. 50
- C. 55
- D. 35 Discuss
- 2. In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
Options- A. 76
- B. 54
- C. 64
- D. 48 Discuss
- 3. 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 Discuss
- 4. 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 Discuss
- 5. 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
- 6. What is the product of a number and its reciprocal?
Options- A. 0
- B. 1
- C. -ve of the number
- D. the number itself Discuss
- 7. Multiplicative inverse of 7?
Options- A. 1
- B. -1/7
- C. 0
- D. 1/7 Discuss
- 8. Two angles whose sum is 90 are
Options- A. Supplementary angles
- B. corresponding angles
- C. Complimentary angles
- D. Alternate angles Discuss
- 9. Which set represents a pythagorean triple?
Options- A. 68, 72, 81
- B. 35, 38, 42
- C. 27, 38, 42
- D. 33, 44, 55 Discuss
- 10. Which letter has at least one line of symmetry?
Options- A. A
- B. C
- C. O
- D. All of the above Discuss
Arithmetic Reasoning problems
Search Results
Correct Answer: 50
Explanation:
15 girls are absent => b = 2(g-15)...... eqn...(1)
45 boys are absent => g - 15 = 5(b-45).....eqn...(2)
=> g = 5(b-45) + 15
=> b = 2((5(b-45)+15)-15)
=> b = 2(5b - 225 + 15 - 15)
=> b = 2(5b-225)
=> b = 10b - 450
=> 9b = 450
=> b = 50
so from equation(2)
g - 15 = 5(b - 45)
=> g - 15 = 5(50-45)
=> g - 15 = 5(5)
=> g = 25 + 15
=> g = 40
Therefore, the number of boys = 50 and girls = 40
Correct Answer: 54
Explanation:
Let R, G and B represent the number of balls in red, green and blue boxes respectively.
Then, .
R + G + B = 108 ...(i),
G + R = 2B ...(ii)
B = 2R ...(iii)
From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.
Putting G = 3R and B = 2R in (i), we get:
R + 3R + 2R = 108 6R = 108 R = 18.
Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.
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).
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.
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.
Correct Answer: 1
Explanation:
The product of a number and its reciprocal is always equals to 1.
For Example : Let the number be 4.
Now, its reciprocal is 1/4
Hence, required product = 4 x 1/4 = 1.
Now, take the number as -15.
Then its reciprocal is -1/15
Required product = -15 x -1/15 = 1.
Hence, the product of a number and its reciprocal is 1.
Correct Answer: 1/7
Explanation:
Multiplicative inverse is nothing but a reciprocal of a number.
It is defined as one of a pair of numbers that when multiplied with another number equals the number 1.
Multiplicative inverse or reciprocal of 7 is
7 x n = 1
=> n = 1/7.
Hence, Multiplicative inverse or reciprocal of 7 is 1/7.
Correct Answer: Complimentary angles
Explanation:
Complimentary angles are those two angles whose sum is 90 whereas two angles whose sum is 180 are called Supplementary angles.
Correct Answer: 33, 44, 55
Explanation:
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².
Here we know, that 3, 4, 5 are pythagorean triplets as 25 = 9 + 16. Hence, its multiple will also be a pythagorean triple.
In the options given, (3 x 11 , 4 x 11 , 5 x 11) = 33, 44, 55 is a pythagorean triplet.
Correct Answer: All of the above
Explanation:
The letter A has a vertical axis of symmetry.
The letter C has a horizontal axis of symmetry.
The letter O has more than one axis of symmetry, including vertical axis and horizontal axis.
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