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Q:

An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?

A) 1:2	B) 1:3
C) 2:3	D) 3^(1/2) :2

Answer & Explanation Answer: D) 3^(1/2) :2

Explanation:

area of a square = a² sq cm

length of the diagonal = $\sqrt{2 a}$ cm

area of equilateral triangle with side $\sqrt{2 a}$ = $\frac{\sqrt{3}}{4} * {(\sqrt{2 a})}^{2}$
required ratio = $\frac{\sqrt{3}}{4} * {(\sqrt{2 a})}^{2} : a^{2} = \sqrt{3} : 2$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

If the area of a square with side a s equal to the area of a triangle with base a, then the altitude of the triangle is

A) a	B) 2a
C) 5a	D) 3a

Answer & Explanation Answer: B) 2a

Explanation:

Area of a square with side a = a² sq unts

Area of a triangle with base a = (1/2) * a * h sq.unts

a² =1/2 *a *h

=> h = 2a

altitude of the triangle is 2a

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. How is E related to D?

A) Father	B) Brother
C) Uncle	D) Cannot be determined

Answer & Explanation Answer: C) Uncle

Explanation:

B is the son of C but C is not the mother of B means C is the father of B A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C

E is the brother of C who is the father of D. So. E is the uncle of D.

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Filed Under: Blood Relations

Q:

All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Which of the following is a pair of females ?

A) AE	B) BD
C) DF	D) AD

Answer & Explanation Answer: D) AD

Explanation:

B is the son of C but C is not the mother of B means C is the father of B A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C.

Clearly, the females are only the mother A and the daughter D

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Q:

All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. How many children does A have ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

B is the son of C but C is not the mother of B means C is the father of B A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C

A has son B, son F and daughter D it three children.

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Filed Under: Blood Relations

Q:

All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Who is the mother of B ?

A) D	B) F
C) B	D) A

Answer & Explanation Answer: D) A

Explanation:

B is the son of C but C is not the mother of B means C is the father of B. A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C

Clearly. A is the mother of B.

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Filed Under: Blood Relations

Q:

All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B, A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. How many male members are there in the family ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: D) 4

Explanation:

B is the son of C but C is not the mother of B means C is the father of B. A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C

A is the mother and hence female. B is the son and hence male. C is the husband and hence male.

D in the daughter and hence female. E is the brother and hence male F is the son and hence male.

So, there are four males.

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Filed Under: Blood Relations

Q:

P is the brother of Q and R. S is R's mother. T is P's father. Which of the following statements cannot be definitely true ?

A) T is Q's father	B) S is P's mother
C) P is S's son	D) Q is T's son

Answer & Explanation Answer: D) Q is T's son

Explanation:

P, Q, R are children of same parents. So. S who is R's mother and T, who is R's father will be mother and father of all three.

However, it is not mentioned whether Q is male or female So, D cannot be definitely true.

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Filed Under: Blood Relations

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