Aptitude and Reasoning Questions

Q:

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?

A) 36 Kg B) 42 Kg
C) 54 Kg D) 63 Kg
 
Answer & Explanation Answer: D) 63 Kg

Explanation:

By the rule of alligation:


C.P. of 1 kg sugar of 1st kind      C.P. of 1 kg sugar of 2nd kind 

 

  

 

Therefore, Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3. 

Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind. 

Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.

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Filed Under: Alligation or Mixture

147 56812
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 56665
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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Filed Under: Probability

44 56635
Q:

Arrange the words given below in a meaningful sequence.

1.Caste  2. Family  3. Newly married Couple  4.Clan  5.Species

A) 2, 3, 1, 4, 5 B) 3, 4, 5, 1, 2
C) 3, 2, 1, 4, 5 D) 4, 5, 3, 2, 1
 
Answer & Explanation Answer: C) 3, 2, 1, 4, 5

Explanation:

The correct order is :   

Newly married Couple     Family    Caste    Clan    Species

                      3                        2                1             4             5

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73 56596
Q:

If x2 + kx + k = 0, has two distinct real solutions, then the value of k will satisfy

 

A) k<0 or k>4 B) k>4 only
C) 0<k<4 D) k<0 only
 
Answer & Explanation Answer: A) k<0 or k>4

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 56561
Q:

If A=C , B= D , C = E and so on, code the following:-

‘STUDENT’

A) VWVFGPV B) UUWFGPV
C) UVWFGPV D) UVVFGPV
 
Answer & Explanation Answer: C) UVWFGPV

Explanation:

According to question: S=U, T=V, U=W, D=F, E=G, N=P, T=V

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

4 56485
Q:

(4x - 7)2 = ?

 

A) 4x2 - 56x + 49 B) 4x2 - 14x + 49
C) 16x2 + 14x + 49 D) 16x2 - 56x + 49
 
Answer & Explanation Answer: D) 16x2 - 56x + 49

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 56428
Q:

Solve the following :

 

(-8) [36 / {7 - (-2)}] / (-4){19 - (-3) x (-5)} = ?

A) 4 B) -4
C) -2 D) 2
 
Answer & Explanation Answer: D) 2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 56405