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- Question
- Father is 5 years older than mother and mother's age now is thrice the age of the daughter. The daughter is now 10 years old. What was the father's age when the daughter was born?
Options- A. 20 years
- B. 15 years
- C. 25 years
- D. 30 years
- Correct Answer
- 25 years
ExplanationHere , Father = F , Mother = M and Daughter = D
According to question
Age of F = Age of M + 5,
Age of M = 3 × Age of D and Age of D = 10 years
? Age of M = 3 × 10 = 30 years
Therefore, father's present age = 30 + 5 = 35 years
Required answer = father's present age - 10 years = 35 ? 10 = 25 years - 1. What does it mean to calculate frequencies within a dataset?
Options- A. to calculate the product of two variables to make a third variable
- B. to count the number of cases that fall into different subgroups within a dataset
- C. to count the number of times a dataset is used by a student
- D. to calculate the sum of a column of variables in a dataset Discuss
- 2. The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ?
Options- A. 6
- B. 9
- C. 7
- D. 5 Discuss
- 3. 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
- 4. 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
- 5. Two angles whose sum is 180 degrees are
Options- A. Complimentary angles
- B. Supplementary angles
- C. Alternate angles
- D. None of the above Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. Find the wrong number in the series 28, 33, 31, 36, 34, 29
Options- A. 33
- B. 36
- C. 34
- D. 29 Discuss
- 10. 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 Discuss
More questions
Correct Answer: to count the number of cases that fall into different subgroups within a dataset
Explanation:
Frequency is what means how many times the event occurs in the same period.
Correct Answer: 5
Explanation:
Arithmatic mean = sum/members
=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)
=> 140/28 = 5
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: -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: Supplementary angles
Explanation:
Two angles whose sum is 180 degrees are called supplementary angles.
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: 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: 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: 29
Correct Answer: is described generally, not using a formal definition
Explanation:
In 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.
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