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Q:

In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

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

Explanation:

Quantity of alohol in the mixture = 40 x 5/8 = 25 lit

Quantity of water = 40 - 25 = 15 lit

According to question,

Required ratio = 20 - 40 x 20100 x 5815 - 40 x 20100 x 38 + 40 x 20100 = 2015 - 3 + 8 = 1 : 1

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Filed Under: Alligation or Mixture
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27 14165
Q:

A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone?

A) Rs. 12,500 B) Rs. 11,250
C) Rs. 12,750 D) Rs. 11,680
 
Answer & Explanation Answer: B) Rs. 11,250

Explanation:

Given that SP = Rs. 12000 - 10%  = Rs. 10,800

Loss% = 4

We know that, C.P = 100/(100 - Loss%) x 100

=> 100/100-4 x 10800

=> 1080000/96

C.P = Rs. 11,250

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Filed Under: Profit and Loss
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14 14161
Q:

Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ?

A) 17 days B) 11 days
C) 15 days D) 16 days
 
Answer & Explanation Answer: C) 15 days

Explanation:

We know that Time is inversely proportional to Efficiency

Here given time ratio of P & P+Q as

P/P+Q = 150/100 = 3:2

Efficiency ratio of P & Q as

P:Q = 2:1 ....(1)

Given Efficiency ratio of Q & R as

Q:R = 3:1 ....(2)

From (1) & (2), we get

P:Q:R = 6:3:1

P alone can finish the work in

22.5(3+1)/6 = 15 days.

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Filed Under: Time and Work
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18 14129
Q:

The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ?

A) Rs. 1,44,750 B) Rs. 2,35,745
C) Rs. 89,489 D) Rs.74,256
 
Answer & Explanation Answer: A) Rs. 1,44,750

Explanation:

3T+12C = 48,250----(1)

21T+36C = ?

multiply eq (1) with 3
i.e,, 3(7T+12C) = 48,250*3
21T+36C = 1,44,750/-

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Filed Under: Arithmetical Reasoning
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25 14089
Q:

The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?

A) 11 months B) 9 months
C) 7 months D) 10 months
 
Answer & Explanation Answer: D) 10 months

Explanation:

7x5: 5xk = 7:10
k = 10 months

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Filed Under: Partnership
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7 14078
Q:

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

A) 2 9/7 km B) 3 7/5 km
C) 1 3/4 km D) 4 3/8 km
 
Answer & Explanation Answer: D) 4 3/8 km

Explanation:

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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Filed Under: Time and Distance
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9 14068
Q:

The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?

A) 4:5 B) 6:5
C) 3:2 D) 1:3
 
Answer & Explanation Answer: B) 6:5

Explanation:

    4:5
    3:2
   -------
=> 12:15:10

 12:10

=> 6:5

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Filed Under: Ratios and Proportions
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11 14062
Q:

In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?

A) 910 B) 1000
C) 970 D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

504/M = 384/800

(504 x 800) / 384 = M

M = 1050

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Filed Under: Ratios and Proportions
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13 14037