Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following statement(s) is/are CORRECT?

 

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

 

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: C) Neither I nor II

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Q:

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is

A) 35.55 km/hr B) 36 km/hr
C) 71.11 km/hr D) 71 km/hr
 
Answer & Explanation Answer: C) 71.11 km/hr

Explanation:

Total time taken    = (160/64 + 160/8)hrs
                           = 9/2 hrs.


Average speed    = (320 x 2/9) km.hr
                         = 71.11 km/hr.

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Filed Under: Time and Distance

152 57124
Q:

Select the number pair that does not belong in the following group.

 

(1,1), (4,64), (8,512), (9,719)

 

A) (1,1) B) (8,512)
C) (9,719) D) (4,64)
 
Answer & Explanation Answer: C) (9,719)

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Q:

Read the data given below and answer the questions based on it.

 

In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social studies, 24% in Biology and English, 35% in English and social studies, 27% in Biology and social studies and 5% in none.

 

What is the ratio of percentage of students who passed in Biology and Social Studies but not English in relation to the percentage of students who passed in Social Studies and English but not Biology?

A) 5:7 B) 7:5
C) 4:5 D) 5:4
 
Answer & Explanation Answer: A) 5:7

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Filed Under: Percentage
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2 57024
Q:

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A) 1/15 B) 1/221
C) 25/57 D) 35/256
 
Answer & Explanation Answer: B) 1/221

Explanation:

 Let S be the sample space

 

Then, n(S) = 52C2= 1326.

 

Let E = event of getting 2 kings out of 4.

 

n(E)  = 52*512*1= 6.

 4C2

=>4*32*1

P(E)=n(E)n(S)=61326=1221

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44 56986
Q:

If 4x = 10247, then what is the value of x?

 

A) 5/7 B) 4/7
C) 3/7 D) 6/7
 
Answer & Explanation Answer: A) 5/7

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Q:

If s + 1s = 4, then the value of s2 + 1s2

 

A) 14 B) 16
C) 20 D) 24
 
Answer & Explanation Answer: A) 14

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Q:

If (x + y)2 - xy = 0, then find the value of x3 - y3x - y.

 

A) 2 B) 3
C) 0 D) 5
 
Answer & Explanation Answer: C) 0

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