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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 

A) 180 km B) 160 km
C) 140 km D) 120 km
 
Answer & Explanation Answer: A) 180 km

Explanation:

Speed in downstream = (14 + 4) km/hr = 18 km/hr;

Speed in upstream = (14 – 4) km/hr = 10 km/hr.

Let the distance between A and B be x km. Then,

x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

91 30878
Q:

Select the odd number from the given alternatives.

 

A) 25 B) 49
C) 9 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 30866
Q:

The average age of a group of 10 students is 15 years. When 5 more students join the group, the average age increase by 1 year. The average age of the new students is?

Answer

Total age of 10 students = 150 years


Total age of 15 students = 240 years


Total age of 5 new students = 240 - 150 = 90 years


\inline \therefore Average age of 5 new students =  = 18 years

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Subject: Problems on Ages

155 30856
Q:

Find the odd word/letters/number from the given alternatives.

 

A) Potato B) Tomato
C) Ginger D) Carrot
 
Answer & Explanation Answer: B) Tomato

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 30853
Q:

In the following question,select the missing number from the given alternatives.

7, 26, ?, 124, 215, 342

A) 63 B) 65
C) 66 D) 67
 
Answer & Explanation Answer: A) 63

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 30851
Q:

Alloy A contains 40% gold and 60% silver. Alloy B contains 35% gold and 40% silver and 25% copper. Alloys A and B  are mixed in the ratio of 1:4 .What is the ratio of gold and silver in the newly formed alloy is?

A) 20% and 30% B) 36% and 44%
C) 25% and 35% D) 49% and 36%
 
Answer & Explanation Answer: B) 36% and 44%

Explanation:

Assume the weight of alloy a is 100 kg 

Therefore, The weight of alloy B is 400kg

 

             Gold          silver         copper

 

    A       40kg          60kg          0kg

 

    B      140kg         160kg        100kg

 

  total    180kg          220kg        100kg

 

Therefore, Ratio of gold and silver in new alloy = 180500:200500= 36% :44%

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Filed Under: Ratios and Proportions

100 30814
Q:

From 5 consonants and 4 vowels, how many words can be formed using 3 consonants and 2 vowels ?

A) 7600 B) 7200
C) 6400 D) 3600
 
Answer & Explanation Answer: B) 7200

Explanation:

From 5 consonants, 3 consonants can be selected in 5C3 ways.

 

From 4 vowels, 2 vowels can be selected in 4C2 ways.

 

Now with every selection, number of ways of arranging 5 letters is 5P5ways.

 

Total number of words = 5C3*4C2*5P5

 

                                = 10x 6 x 5 x 4 x 3 x 2 x 1= 7200

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Filed Under: Permutations and Combinations

16 30798
Q:

The smallest number which when diminished by 7,  is divisible by  12, 16, 18, 21 and 28 is

A) 1008 B) 1015
C) 1022 D) 1032
 
Answer & Explanation Answer: B) 1015

Explanation:

Required Number = (L.C.M  of 12, 16, 18,21,28)+7

= 1008 + 7

= 1015

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Filed Under: HCF and LCM

101 30792