Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of {(sin 4x + sin 4y) [(tan 2x – 2y)]}/(sin 4x – sin 4y)?

A) tan 2 (2x + 2y) B) tan2
C) cot (x – y) D) tan (2x + 2y)
 
Answer & Explanation Answer: D) tan (2x + 2y)

Explanation:
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Q:

In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

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Q:

A home theatre set is Rs. 4950. If two successive discounts of 20% and 15% are given, then its selling price is

A) Rs.3366 B)  Rs.6633
C)  Rs.3636 D) Rs.6363
 
Answer & Explanation Answer: A) Rs.3366

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Q:

Akarsh's birthday is on Saturday 29th July. On what day of the week will be Ojas's Birthday in the same year if Ojas was born on 12th August?

A) Wednesday B) Friday
C) Saturday D) Sunday
 
Answer & Explanation Answer: C) Saturday

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Q:

If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3+ z3?

A) 104 B) 144
C) 196 D) 288
 
Answer & Explanation Answer: D) 288

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Q:

A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?

A) 12/π+4 B) 6/π+4
C) 3/π+4 D) 6/π+2√2
 
Answer & Explanation Answer: B) 6/π+4

Explanation:
As it is clear that 2r = a where a is the side of the square and
R is the radius of circle
It is given that 2πr + 4a = 12
a = 12/(π+4)
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Q:

Faiyaz's birthday is on Wednesday 12th April. On what day of the week will be Shray's Birthday in the same year if Shray was born on 2nd October?

A) Monday B) Saturday
C) Wednesday D) Sunday
 
Answer & Explanation Answer: A) Monday

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Q:

A man travels 404 kilometres in partly by rail and steamer. He spends 10 hours more time on steamer. If the speed of the steamer is 30 km/hr and the velocity of rail is 50 km/hr, how much distance does he cover by steamer?

A) 407 km B) 509 km
C) 610 km D) 339 km
 
Answer & Explanation Answer: D) 339 km

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