Aptitude and Reasoning Questions

Q:

2500473+ (56)2÷7=?

A) 547 B) 475
C) 455 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:
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Q:

Find value of log27 +log 8 +log1000log 120

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

Explanation:

 = log 33 + log 23+ log 103log10×3×22 

 

 

 

=log33 12+log 23+log 10312log(10×3×22)  

 

 

 

 

 

 

 

=12log 33+3 log 2+12 log103log10+log3+log22  

 

 

 

 

 

 

 

=32log 3 + 2 log 2 + log 10log 3 + 2 log 2 + log 10 = 32  

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Filed Under: Logarithms
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27 6066
Q:

If A = log321875 and B = log2432187, then which one of the following is correct?

A) A B) A=B
C) A>B D) can't be determined
 
Answer & Explanation Answer: B) A=B

Explanation:

 Given A = log321875 and B = log2432187

B = log352187 = log321875

=> A

Therefore, A = B

   

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Filed Under: Logarithms
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7 6065
Q:

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

A) Rs. 5000 B) Rs. 6200
C) Rs. 8100 D) R. 7600
 
Answer & Explanation Answer: A) Rs. 5000

Explanation:

Let the amount invested by saketh = RS. p

Now, that of sandeep = 20,000 x 6

saketh = 12 x p

Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)

=> 12000012p = 60003000 => p= Rs. 5000

Hence, the amount investe by saketh  = Rs. p  = Rs. 5000.

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Filed Under: Partnership
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13 6060
Q:

Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?

A) 240 gms B) 280 gms
C) 180 gms D) 170 gms
 
Answer & Explanation Answer: A) 240 gms

Explanation:

The nine pieces consist of 8 smaller equal pieces and one half cake piece.
Weight of each small piece = 15 g.
So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

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Filed Under: Arithmetical Reasoning
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2 6057
Q:

A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ?

A) 250 mts B) 400 mts
C) 320 mts D) 390 mts
 
Answer & Explanation Answer: B) 400 mts

Explanation:

Let the length of the 1st train = L mts

Speed of 1st train = 48 kmph

Now the length of the 2nd train = L/2 mts

Speed of 2nd train = 42 kmph

Let the length of the bridge = D mts

Distance = L + L/2 = 3L/2

Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite)

Time = 12 sec

=> 3L/2x25 = 12

=> L = 200 mts

Now it covers the bridge in 45 sec

=> distance = D + 200

Time = 45 sec

Speed = 48 x5/18 = 40/3 m/s

=> D + 200/(40/3) = 45

=> D = 600 - 200 = 400 mts

Hence, the length of the bridge = 400 mts.

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Filed Under: Problems on Trains
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15 6051
Q:

In a certain code language, "STUBBORN" is written as "VUTAAOSP". How is "SHIPPING" written in that code language?

A) TIJOOHPJ B) QFOLLSLO
C) TIJNNOJH D) JITOOHOJ
 
Answer & Explanation Answer: D) JITOOHOJ

Explanation:
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Filed Under: Coding and Decoding

24 6045
Q:

If it is possible to make a number which is the square of a two-digit odd number using the second, the fourth and the sixth digits of the number  93217648 and using each only once, which of the following is that two-digit odd number?

A) 17 B) 19
C) 15 D) 21
 
Answer & Explanation Answer: B) 19

Explanation:

Second, fourth and the sixth digits of the number are 3, 1 and 6. Using these digits only once we can make 361, which is a perfect square number. Hence, our answer is 19 x 19 = 361

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