math & puzzles Online Quiz - 215

CP of 20 articles = SP of 16 articles. Let CP of each = 1, so CP of 20 = 20. SP of 16 = 20, so SP of each = 20/16 = 1.25. Profit per article = 1.25 - 1 = 0.25. Profit percentage = (0.25/1) × 100 = 25%. This is a 25% profit, not a loss.

Let max marks = M. First candidate: 20% of M = 0.2M, fails by 10 marks, so passing marks = 0.2M + 10. Second candidate: 42% of M = 0.42M, gets 12% MORE than passing marks, so 0.42M = (0.2M + 10) + 0.12M. Solving: 0.42M = 0.32M + 10, so 0.10M = 10, giving M = 100. The maximum marks are 100.

Total sum of 5 quantities = 5 × 6 = 30. Sum of 3 quantities = 3 × 8 = 24. Sum of remaining 2 = 30 - 24 = 6. Average = 6 ÷ 2 = 3. The distractors don't match this calculation.

Total age = 5 × 20 = 100 years. Age of 4 members when youngest was born = 100 - 10 - (4×10) = 50 years. Average = 50 ÷ 4 = 12.5 years. We subtract 10 years for each of the 4 older members from the moment 10 years ago.

Let the son's current age be x. Father's current age is 5x. Three years back, son was x-3 and father was 5x-3. Since father was 24 years older than son three years back: 5x-3 = x-3+24, which gives 4x=24, so x=6. Son is currently 6, so three years from now he will be 9 years old.

Let CP = 100. With 50% markup, MP = 150. For no profit no loss, SP must equal CP = 100. Discount needed = (150-100)/150 × 100 = 50/150 × 100 = 33.33%. Option B (16.67%) is half of this - a common error of calculating on CP instead of MP. Option C is incorrectly calculated double.

Ram takes 24 days alone, so Ram's rate = 1/24 work/day. Krish is twice as efficient, so Krish's rate = 1/12 work/day. Together: 1/24 + 1/12 = 1/24 + 2/24 = 3/24 = 1/8 work/day. Time = 1/(1/8) = 8 days. Option B (16) is Ram's time alone - a common error of not combining rates.

The grazing area is a circle with radius equal to the rope length. Area = πr². New area = π(30)² = 900π, old area = π(19)² = 361π. Additional area = 900π - 361π = 539π. Using π ≈ 3.14, we get 539 × 3.14 = 1694.46 sq m, which rounds to 1694 sq m. The other options are incorrect calculations.

X's Mother's Husband is X's Father. His Mother is X's Paternal Grandmother. Her grand-daughter could be X's sister (if X is female) or X's cousin (if the grandmother has another child). Without knowing the grandmother's family structure, the relationship cannot be uniquely determined.

"Your father's mother" is Rina's paternal grandmother. Her daughter is Rina's father's sister (paternal aunt). Samuel says she's "my sister", so Samuel is also Rina's paternal uncle. The person in the photo is Rina's aunt.

To determine the relationship between Anil and "Anil's Sibling's grandfather's only daughter's only child," we need to follow the given information step by step.

1. Anil's Sibling's grandfather: This refers to the grandfather of Anil's sibling, which means it is their paternal or maternal grandfather.

2. Only daughter of Anil's Sibling's grandfather: This refers to the only daughter of the grandfather mentioned in the previous step. This person is the aunt of Anil's sibling.

3. Only child of the only daughter of Anil's Sibling's grandfather: This refers to the only child of the aunt mentioned in the previous step. This person is the cousin of Anil's sibling.

Given the above information, we can conclude that "Anil's Sibling's grandfather's only daughter's only child" is the cousin of Anil.

Therefore, the answer is B. Cousin.

Anil's sibling's paternal grandfather's only daughter's only child is Anil's cousin. Break it down: Anil's sibling shares the same father (paternal grandfather). The grandfather's only daughter is Anil's father's sister (aunt). Her only child is Anil's cousin. Option B is correct.

Rina's father's mother is Rina's grandmother. The daughter of Rina's grandmother is Rina's Aunt. Samuel says this person (the Aunt) is his sister. This makes Samuel Rina's Uncle. Thus, Samuel is the Uncle and the person in the photo is the Aunt.

A's Father's Brother is A's Uncle. The Father of A's Uncle is A's Grandfather. Therefore, D (the father of the brother of A's father) is A's paternal grandfather.

The text states that C and F are the daughters of the salesman. It also mentions G is the father-in-law of E and H is the wife of G. In this family structure, G is the father of C and F, making G the salesman.

From the description, G is the father-in-law of E (an engineer). C and F are daughters of the salesman (G). Since C is married to B, F must be the one married to E to satisfy the family structure where G is E's father-in-law.

Based on the family tree: G (Salesman) + H (Teacher) are the grandparents. Their children are B (Doctor, married to C, Writer) and F (married to E, Engineer). A is the son of B and C. D is the child of E and F. Since D's gender is never specified, the relationship to C (Aunt) cannot be determined as either Nephew or Niece.