Aptitude and Reasoning Questions

Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

7 1836
Q:

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix -II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'C' can be represented by 23, 40 etc and 'X' can be represented by 66, 96 etc. Similarly, you have to identify the set for the word 'DUNG'.

 

 

A) 31,76,24,96   B) 20,59,41,88  
C) 33,68,31,75   D) 42,57,75,11
 
Answer & Explanation Answer: D) 42,57,75,11

Explanation:
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Filed Under: Analytical Reasoning
Exam Prep: Bank Exams

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Q:

The selling price of an item inclusive of a 10% profit was Rs.440. What would be the percentage loss if the item was sold for Rs. 370?

A) 7.5 B) 8
C) 6.25 D) 8.4
 
Answer & Explanation Answer: A) 7.5

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

When a discount of 50% is given on a shirt, the profit is 25%. If the discount is 10%, then the profit is

A) 35 percent B) 55 percent
C) 215 percent D) 125 percent
 
Answer & Explanation Answer: D) 125 percent

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

3 1835
Q:

What is the value of 143 + 163 + 183 + ... + 303?

A) 134576 B) 120212
C) 115624 D) 111672
 
Answer & Explanation Answer: D) 111672

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the shopkeeper sells an item at Rs 1250 which is marked as Rs 1500, then what is the discount he is offering?

A) 20 percent B) 16.67 percent
C) 25 percent D) 10 percent
 
Answer & Explanation Answer: B) 16.67 percent

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

O is the orthocentre ofABC, and if ∠BOC = 110° then ∠BAC will be

A) 110° B) 70°
C) 100° D) 90°
 
Answer & Explanation Answer: B) 70°

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

In an isosceles ΔABC, AD is the median to the unequal side meeting BC at D. DP is the angle disector of ∠ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of ∠PDQ is

A) 130° B) 90°
C) 180° D) 45°
 
Answer & Explanation Answer: B) 90°

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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