Aptitude and Reasoning Questions

Q:

In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was : 

A) 10 kg B) 15 kg
C) 20 kg D) 25 kg
 
Answer & Explanation Answer: A) 10 kg

Explanation:

Let the original quantity be x kg. Vanaspati ghee in x kg  =  (40x / 100 )kg = (2x / 5) kg. 

Now, (2x/5)/(x + 10) = 20/100

=> 2x / (5x + 50) = 1/5 

=> 5x = 50 

=> x = 10.

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Filed Under: Percentage

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Q:

Consider the following statements:

1) The number of circles that can be drawn through three non-collinear points is infinity.

2) Angle formed in minor segment of a circle is acute.

Which of the above statements is/are correct?

A) 1 only B) 2 only
C) Both 1 and 2 D) Neither 1 nor 2
 
Answer & Explanation Answer: D) Neither 1 nor 2

Explanation:
(1)
Only one circle can be drawn through 3 non collinear points 
Angle in the minor segment is always obtuse
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

H.C.F of 4 x 27 x 3125,  8 x 9 x 25 x 7  and   16 x 81 x 5 x 11 x 49 is

A) 180 B) 360
C) 540 D) 1260
 
Answer & Explanation Answer: A) 180

Explanation:

4×27×3125=22×33×55

8×9×25×7=23×32×52×7

16×81×5×11×49=24×34×5×72×11

Therefore, H.C.F = 22×32×5 = 180

 

 

\inline \fn_jvn \therefore   \inline \fn_jvn H.C.F =2^{2}\times 3^{2}\times 5=180

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Filed Under: HCF and LCM

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Q:

Study the following information carefully and answer the questions given below it.

 

There are 6 persons in a family - three males and three females. Out of these, there are two married couples and two persons who are unmarried. Each one of them likes different colour, viz. Blue, Red, Pink, Green, Yellow and white.

Seema, who likes Red colour, is Anitha's mother-in-law and Anitha is Raja's wife. Dinesh is Rohan's father and he does not like the blue colour or white colour. Bavya likes the yellow colour and is Rohan's sister, who likes Pink colour, Raja does not use White colour.

 


Which of the following is one of the married couples?

 

A) Rohan - Bavya   B) Dinesh - Bavya
C) Dinesh - Seema D) Rohan - Seema
 
Answer & Explanation Answer: C) Dinesh - Seema

Explanation:
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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams

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Q:

In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

A) 3100 B) 6240
C) 6500 D) 9600
 
Answer & Explanation Answer: B) 6240

Explanation:

To obtain Rs. 10,  investment = Rs. 96.

 

To obtain Rs. 650, investment = Rs.96*65010 = Rs. 6240.

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Filed Under: Stocks and Shares

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Q:

The difference between the simple interest received from two different sources on Rs.1500 for 3 years is Rs.13.50. The difference between their rates of interest is

A) 0.1% B) 0.2%
C) 0.3% D) 0.4%
 
Answer & Explanation Answer: C) 0.3%

Explanation:

(1500 x R1 x 3)/100 

=> 4500 (R1-R2) = 1350 

=> (R1-R2)= 1350/4500 = 0.3 %

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Filed Under: Simple Interest
Exam Prep: GRE

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Q:

A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph.

A) 4314

B) 4213

C) 2413

D) 3414

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: B) Option B

Explanation:

Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 m

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Average speed of man= total distance/ total time
=> 54/13 = 4213 kmph

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Filed Under: Time and Distance
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

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Q:

A man borrowed Rs 24000 from two money lenders. For one loan, he paid 15% per annum and for the other 18% per annum. At the end of one year, he paid Rs 4050. How much did he borrow at each rate ?

A) Rs.16000 B) Rs.12000
C) Rs.15000 D) Rs.13000
 
Answer & Explanation Answer: C) Rs.15000

Explanation:

Let the sum at 15% be Rs x and that at 18% be Rs (24000 - x).

{(x * 15 * 1)/100 } + { [(24000 – x) * 18 * 1]/100 } = 4050

or 15 x + 432000 - 18x = 405000 or x = 9000.

Money borrowed at 15% = Rs 9000 .

Money borrowed at 18% = Rs 15000.

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Filed Under: Simple Interest
Exam Prep: GRE

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