Aptitude and Reasoning Questions

Q:

The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?

A) 225 deg B) 210 deg
C) 205 deg D) 245 deg
 
Answer & Explanation Answer: A) 225 deg

Explanation:

Angle of triangle = 180 × 3/12

= 45 deg

Other angles of the triangle are = 60 deg, 75 deg

Angle of quadrilateral

= 360 - (45 + 60 + 75)

= 180 deg

Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees.

Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

A) 60 km/hr B) 100 km/hr
C) 110 km/hr D) 120 km/hr
 
Answer & Explanation Answer: D) 120 km/hr

Explanation:

Number of gaps between 41 poles = 40
So total distance between 41 poles = 40*50
= 2000 meter = 2 km
In 1 minute train is moving 2 km/minute.
Speed in hour = 2*60 = 120 km/hour

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Filed Under: Time and Distance
Exam Prep: GRE

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Q:

How is my father's mother's only daughter-in-law's daughter's father related to me ?

A) Son-in-law B) Uncle
C) Son D) Father
 
Answer & Explanation Answer: D) Father

Explanation:

My fahter's mother's only daughter-in-law is my father's wife i.e. my mother. My mother's daughter is my sister. My sister's father is my father.

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Filed Under: Blood Relations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is  ?

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

Explanation:

Let us name the trains as A and B.

Then, (A's speed) : (B's speed)

= √b : √a = √16 : √9 = 4:3

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Filed Under: Problems on Trains
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Q:

The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is

A) 720 B) 180
C) 75 D) 65
 
Answer & Explanation Answer: C) 75

Explanation:

The hour hand moves from pointing to 12 to pointing to half way between 2 and 3. The angle covered between each hour marking on the clock is 360/12 = 30. Since the hand has covered 2.5 of these divisions the angle moved through is 75.

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Filed Under: Time and Distance
Exam Prep: GRE

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Q:

Arrange the given words in the sequence in which they occur in the dictionary.

1. Simulate

2. Simple

3. Similar

4. Silent

5. Signal

 

A) 12354 B) 54321
C) 52143 D) 24513
 
Answer & Explanation Answer: B) 54321

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

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Q:

One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

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

Explanation:

Let pipe A takes p min to fill

Then,

pipe B takes 3p min to fill

=> 3p - p = 32

=> p = 16 min => 3p = 48 min

 

Required, both pipes to fill = (48 x 16)/(48 + 16) min = 12 min.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?

A) 0.75D B) 0.76D
C) 0.765D D) None of the above
 
Answer & Explanation Answer: C) 0.765D

Explanation:

If the price is reduced by 15 %, then the new price will be 0.85D

If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D

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Filed Under: Percentage
Exam Prep: GRE

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