Aptitude and Reasoning Questions

Q:

If Cosec θ = 17/8, then what is the value of Cos θ?

A) 15/8 B) 15/17
C) 8/15 D) 17/15
 
Answer & Explanation Answer: B) 15/17

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Q:

If a = √2 + 1, b = √2 - 1 then the value of 1a+1+1b+1 ?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: B) 1

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Q:

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

A) 7.5 km B) 10.5 km
C) 12.5 km D) 15 km
 
Answer & Explanation Answer: C) 12.5 km

Explanation:
Initially the person is travelling from south to north i.e. D to A
He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC
AB = 20km/hr * 15/60 hr = 5km
BC = 30 * 20/60 = 10 km
We know that distance between both the streets is DC = DB + BC
DB = AB cos 60o= 5. ½ =2.5 km
So the distance between streets = 12.5 km
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Filed Under: Height and Distance
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Q:

The average weight of 100 students is 32 kg. The average weight of first 49 students is 30 kg and of last 50 students is 34 kg. What is the weight (in kg) of the 50th student?

A) 25 B) 30
C) 32 D) 33
 
Answer & Explanation Answer: B) 30

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Filed Under: Average
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Q:

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days.

A) 4 Days B) 3 Days
C) 2 Days D) 1 Day
 
Answer & Explanation Answer: D) 1 Day

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Filed Under: Time and Work
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Q:

If UNCOVER is coded as FMXLEVI, then how will TIP be coded as?

A) LTV B) NQV
C) KHQ D) GRK
 
Answer & Explanation Answer: D) GRK

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Filed Under: Coding and Decoding
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Q:

Preeti is the daughter of Rajesh and Amit is the son of Ankita. Rajesh is the only son of Rajan. Ankita is the daughter-in-law of Rajan. How is Preeti related to Amit ?

A) Sister B) Mother
C) Cousin D) Aunt
 
Answer & Explanation Answer: A) Sister

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Filed Under: Blood Relations
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Q:

The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock?

A) 1 : 1 : 2 B) 6 : 6 : 13
C) 12 : 15 : 19 D) 4 : 9 : 13
 
Answer & Explanation Answer: A) 1 : 1 : 2

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Filed Under: Ratios and Proportions
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