In a class, average height of all students is 'a' | Quantitative Aptitude - Arithmetic Ability Questions & Answers

Q:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I: All bins are baskets

Statement II: No buckets are bins

Conclusion I: All baskets are buckets

Conclusion II: All buckets are baskets

A) Only conclusion I follows	B) Only conclusion II follows
C) Both conclusions I and II follow	D) Neither conclusion I nor conclusion II follows

Answer & Explanation Answer: D) Neither conclusion I nor conclusion II follows

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Q:

The average of five consecutive even numbers is 40. What is the value of smallest of these numbers?

A) 35	B) 36
C) 44	D) 48

Answer & Explanation Answer: B) 36

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 81	B) 125
C) 64	D) 198

Answer & Explanation Answer: D) 198

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Q:

Expand and simplify ${(2 x + 5)}^{2} * (4 x - 1) - (3 x^{3} - 16 x^{2} + 25 x - 21)$

A) 13x3 + 92x2 - 55x + 4	B) 13x3 - 92x2 - 55x - 4
C) 13x3 + 92x2 + 55x - 4	D) 13x3 - 92x2 + 55x + 4

Answer & Explanation Answer: C) 13x3 + 92x2 + 55x - 4

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Q:

A cone is hollowed out of a solid wooden cube of side 7 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?

A) 253.17 cubic cms	B) 228.84 cubic cms
C) 143.26 cubic cms	D) 257.68 cubic cms

Answer & Explanation Answer: A) 253.17 cubic cms

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Q:

Reflection of the point (2,-4) in the origin is

A) (2,4)	B) (-2,-4)
C) (2,-4)	D) (-2,4)

Answer & Explanation Answer: D) (-2,4)

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Q:

By increasing the price of entry ticket to a fair in the ratio 5:7, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

A) increased in the ratio 55:63	B) decreased in the ratio 63:55
C) increased in the ratio 45:77	D) decreased in the ratio 77:45

Answer & Explanation Answer: A) increased in the ratio 55:63

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Q:

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

A) 90	B) 45
C) 60	D) 75

A) (a(b-c))/(a-c)	B) ((b-c)/(a-c))
C) ((b-c)/10(a-c))	D) (10(b-c))/(a_c))

In a class, average height of all students is 'a' cms. Among them, average height of 10 students is 'b' cms and the average height of the remaining students is 'c' cms. Find the number of students in the class. (Here a>c and b>c )

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