Aptitude and Reasoning Questions

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
Exam Prep: Bank Exams

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Q:

Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C?

A) 400 B) 600
C) 800 D) 900
 
Answer & Explanation Answer: B) 600

Explanation:
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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

Count the number of triangles in the following figure:

A) 10 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:
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Filed Under: Image Analysis
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

If y% of y is 289, then what is the value of y?

A) 149 B) 160
C) 170 D) 173
 
Answer & Explanation Answer: C) 170

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

How many job applicants had applied if the ratio of selected to unselected was 19:17. If 1,200 less had applied and 800 less selected, then the ratio of selected to unselected would have been 1:1.

A) 6000 B) 7200
C) 8400 D) 4800
 
Answer & Explanation Answer: B) 7200

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is - 

A) 3:2 B) 2:3
C) 5:7 D) 7:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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Q:

Amar can complete a work in 30 days and Raman can complete the same work in 15 days. If both of them work together, then in 4 days what percent of the total work will be completed?

A) 15 B) 37
C) 40 D) 45
 
Answer & Explanation Answer: C) 40

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Find the missing number in the following series.
27, 29, 33, ?, 57

A) 30 B) 41
C) 40 D) 35
 
Answer & Explanation Answer: B) 41

Explanation:
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Filed Under: Number Series
Exam Prep: AIEEE , Bank Exams , CAT , GATE

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