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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If x + y + z = 6 and xy + zx + zy = 10, then find the value of x3 + y3 + z3 - 3xyz

 

A) 16 B) 26
C) 36 D) 46
 
Answer & Explanation Answer: C) 36

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

1 52866
Q:

Find the volume (in cm³) of a cube of side 4.5 cm.

 

A) 55.467   B) 14.445  
C) 91.125   D) 26.465
 
Answer & Explanation Answer: C) 91.125  

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

2 52856
Q:

A is a working and B is sleeping partners in a business. A puts in Rs. 5000 and B puts in Rs.6000. A receives % of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?

Answer

Total profit = Rs. 880


A's share for managing the business i.e 


\inline 12\frac{1}{2} %  =  \inline \frac{25\times 880}{200}=Rs.110


Remaining profit of A and B as per their capital = 880 - 110 = Rs. 770


Ratio of amounts = 5000 : 6000 = 5 : 6


Sum of ratios = 5 + 6 = 11


A's share = \inline 770\times \frac{5}{11}= Rs.350


A's total share = 350 + 110 = Rs. 460


B's share = \inline 770\times \frac{6}{11}=Rs.420

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Subject: Partnership

85 52790
Q:

If x = 0.139, then what is the value of  4x2 + 4x + 1 ?

 

A) 1.39 B) 1.278
C) 2.139 D) 1.69
 
Answer & Explanation Answer: B) 1.278

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Q:

Three unbiased coins are tossed. What is the probability of getting at most two heads?

A) 3/4 B) 7/8
C) 1/2 D) 1/4
 
Answer & Explanation Answer: B) 7/8

Explanation:

Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

Let E = event of getting at most two heads.

Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

P(E) =n(E)/n(S)=7/8.

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Filed Under: Probability

81 52693
Q:

Find the next number in the given number series?

50, 51, 47, 56, 40, ?

A) 58 B) 65
C) 76 D) 81
 
Answer & Explanation Answer: B) 65

Explanation:

The given number series is 50, 51, 47, 56, 40, ?

 

5050 + 12 = 5151 - 22 = 4747 + 32 = 5656 - 42 = 4040 + 52 = 65

 

Hence, the next number in the given number series is 65.

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Filed Under: Odd Man Out
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Q:

The two equations x - 4y = 0 and 4x + 3y = 19 have a solution (a, b). Find the value of aba + 4b.

 

A) 1/4 B) 1/2
C) 1 D) 23
 
Answer & Explanation Answer: B) 1/2

Explanation:
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Filed Under: Simplification
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Q:

A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ?

A) 25 B) 24
C) 23 D) 21
 
Answer & Explanation Answer: A) 25

Explanation:

(A+B+C) do 1 work in 10 days.

So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5


Remaining work=1-2/5=3/5

 

(B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50


Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25

A does 1/25 work in in 1 day

Therefore 1 work in 25 days.

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Filed Under: Time and Work
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