Aptitude and Reasoning Questions

Q:

cot2A + cos2A is equal to

A) (cosecA -­ sinA)2(cosecA + sinA) B) (cosecA + sinA)(cosecA -­ sinA)
C) (secA + sinA)(secA -­ sinA) D) (secA -­ sinA)2(secA + sinA)
 
Answer & Explanation Answer: B) (cosecA + sinA)(cosecA -­ sinA)

Explanation:
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Q:

If x and y are natural numbers such that x + y = 2017, then what is the value of ( 1)x+ ( 1)y?

A) 2 B) – 2
C) 0 D) 1
 
Answer & Explanation Answer: C) 0

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Q:

Rithika had Rs 8000. She invested some of it in savings scheme P and the rest of the money in savings scheme Q. She invested for 3 years in savings scheme P and for 2 years in savings scheme Q. savings scheme P offers SI at a rate of 20% pa while savings scheme Q compounded annually at the rate of 30% pa. The interest received from savings scheme P is 930 more than the interest received from savings scheme Q. If Rs 1500 is debited from the invested amount of savings scheme P then find the difference between the amount invested by Rithika in savings scheme P & savings scheme Q.

A) Rs 200 B) Rs 300
C) Rs 400 D) Rs 500
 
Answer & Explanation Answer: D) Rs 500

Explanation:
Amount invested in savings scheme P= Rs X

Amount invested in savings scheme Q= Rs (8000-X)

Compounding 30 % for 2 years , rate

30+30+ (30*30)/100= 69 %

60 % of X-69 % of (8000-X)=930

X= 5000

In savings savings scheme Q = 8000-5000=3000

5000 - 1500 = 3500

Difference =3500-3000=Rs 500

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Q:

Sister can bake 50 cakes in 25 hours, Sister and Mummy together can bake 75 cakes in 15 hours. How many cakes Mummy can bake in 15 hours?

A) 25 B) 45
C) 20 D) 10
 
Answer & Explanation Answer: B) 45

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Q:

If 56 × 75 × 60 × 84 × 210 = 2p × 3q × 5r × 7s, then what is the value of [(p + q)/s] + r?

A) 6 B) 8
C) 12 D) 10
 
Answer & Explanation Answer: B) 8

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Q:

A can finish a work in 7 days . B can finish the same work in 9 days . The days required to finish the work by both of them together.

A) 31/16 B) 47/16
C) 63/16 D) 79/16
 
Answer & Explanation Answer: C) 63/16

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Q:

The mean of marks secured by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions of Class X.

A) 53.7 B) 54.4
C) 53 D) 55.8
 
Answer & Explanation Answer: B) 54.4

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Q:

There is certain relationship between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the given pair has. Select the best alternatives/ relationship.

Funk : Vitamins :: Curie : ?

A) Uranium B) Radioactivity
C) Photography D) Radium
 
Answer & Explanation Answer: D) Radium

Explanation:

The Curies Discover Radium. 

1898: __

Radium is discoveredby the husband-and-wife team of Pierre and MarieCurie.

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