Aptitude and Reasoning Questions

Q:

if log105+log5x+1=log10(x+5)+1,then x is equal to

A) 1 B) 3
C) 5 D) 10
 
Answer & Explanation Answer: B) 3

Explanation:

log105+log5x+1=log10x+5+1

log1055x+1=log1010x+5

55x+1=10x+5

5x+1=2x+10

3x=9

x=3

 

 

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Filed Under: Logarithms
Exam Prep: Bank Exams
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29 8184
Q:

A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was:

A) 1.25 kg B) 1 kg
C) 1.5 kg D) None of these
 
Answer & Explanation Answer: A) 1.25 kg

Explanation:

Let the initial amount of honey in the jar was k, then

 

 512 = k1 - 154 or  512 = k454 

 => k = 512 × 625256 

=> k = 1250

 

 Hence initially the honey in the jar = 1.25 kg

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Filed Under: Alligation or Mixture
Exam Prep: CAT , Bank Exams , AIEEE
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23 8179
Q:

The average age of Sita and Gita is 30 years. If Rita replaces Sita, then the average age will become 28 years and if Rita replaces Gita, then the average age will become 32 years. What are the respective ages (in years) of Sita, Gita and Rita?

 

A) 40, 44, 36   B)  44, 40, 36  
C) 34, 26, 30   D) 30, 26, 34
 
Answer & Explanation Answer: C) 34, 26, 30  

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

26 8178
Q:

K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ?

A) 12 pm B) 1 pm
C) 11 am D) 11:30 am
 
Answer & Explanation Answer: A) 12 pm

Explanation:

let 't' be the time after which they met since L starts.

Given K is 50% faster than L

50 t + 1.5*50(t-1) = 300

50 t +75 t = 300 + 75

t = 375 / 125 = 3 hrs past the time that L starts

So they meet at (9 + 3)hrs = 12:00 noon.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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4 8174
Q:

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

A) Rs. 5989 B) Rs. 6540
C) Rs. 7844 D) Rs. 6789
 
Answer & Explanation Answer: B) Rs. 6540

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

 C.I = P1+201002-1

 

5984 = 

 

=> P = (5995x25)/11

 

P = Rs. 13625

 

Now S.I = PTR/100

 

SI = (13625 x 8 x 6)/100 = Rs. 6540

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Filed Under: Compound Interest
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22 8167
Q:

In how many ways can the letters of the word 'LEADER' be arranged ?

A) 360 B) 420
C) 576 D) 220
 
Answer & Explanation Answer: A) 360

Explanation:

No. of letters in the word = 6
No. of 'E' repeated = 2
Total No. of arrangement = 6!/2! = 360

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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4 8166
Q:

'MP' is related to 'KN' in the same way as 'DG'  is related to 

A) FI B) GJ
C) HK D) BE
 
Answer & Explanation Answer: D) BE

Explanation:

The letters move two places backward each in the alphabet as given below:

 M-2K

 P-2N

 

Therefore,  D-2B and  G-2E => BE

 

             

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Filed Under: Analogy
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11 8166
Q:

Find the minimum number of straight lines required to make the given figure.

A) 9 B) 11
C) 15 D) 16
 
Answer & Explanation Answer: B) 11

Explanation:

  

The horizontal lines are DE, FH, IL and BC i.e. 4 in number.

The slanting lines are AC, DO, FN, IM, AB, EM and HN i.e. 7 in number.

Thus, there are 4 + 7 = 11 straight lines in the figure.

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Filed Under: Analytical Reasoning

76 8162