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Q:

The average age of a group of persons going for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is :

A) 15 B) 20
C) 23 D) 24
 
Answer & Explanation Answer: B) 20

Explanation:

Let the initial number of persons be x. Then,

16x + 20 * 15 = 15.5 (x + 20) <=> 0.5x = 10 <=> x = 20.

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Filed Under: Average

Q:

In the last month the company decided to increase the cost of its mixer by 10 percent. What is the present price of the mixer? 

I. The cost of mixer and juicer together was Rs 2850 a month ago. 

II. The amount of 10% increase on the mixer comes to Rs 220. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: B) If the data in statement II alone are sufficient answer the question

Explanation:

The present price of the mixer can he calculated from statement II as follows

Let the earlier price be Rs x.

Then, 10% of x = 220 or x = 2200. Present price = Rs (2200 + 220) = Rs 2420.

So, only II is needed. 

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Filed Under: Data Sufficiency

Q:

It is 8.00 p.m., when can Hemant get next bus for Ramnagar from Dhanpur ? 

I. Buses for Ramnagar leave after every 30 minutes, till 10 p.m. 

II. Fifteen minutes ago, one bus has left for Ramnagar.  

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

II reveals that the previous bus had left al 7.45 p.m

As given in I, the next has would leave after 30 minutes i.e, at 8.15 p.m. 

 

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Filed Under: Data Sufficiency

Q:

Which day of the last week did Satish meet Kapil at Kapil's residence ? 

I. Kapil was out of town from Monday to Wednesday. lie returned on Thursday morning. 

II. On Friday night Satish telephoned his friend to inform that only yesterday he had got approval of Kapil after personally explaining to him all the details 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data even in both the statements together are not sufficient to answer the question
 
Answer & Explanation Answer: B) If the data in statement II alone are sufficient answer the question

Explanation:

Statement II reveals that Satish met his friend Kapil on the day prior to Friday  i.e, Thursday.

Thus, only II is needed. 

 

 

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Filed Under: Data Sufficiency

Q:

In which year was Sanjay born ? 

I. Sanjay is six years older than Gopal.

II. Gopal's brother was born in 1982.

III. Sanjay's brother as two years younger than Gopal's brother who was eight years younger than Gopal. 

A) I and II together B) II and III together
C) I and III together D) I, II and III together
 
Answer & Explanation Answer: D) I, II and III together

Explanation:

From II, we know that Copal's brother was born in 1982. From III, we find that Gopal's brother was 8 years younger to him i.e. Copal was born in 1974. From I, we find that Sanjay is 6 years older than Gopal Thus. Sanjay was born in 1968. So. all the three statements are required. 

 

 

 

 

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Filed Under: Data Sufficiency

Q:

Total money with Naresh and Ajay is 28 percent of that with Usman. How much money is Ajay having ? 

I. Usman has got Rs 75000. 

II. The ratio of money of Naresh to money held by Ajay is 1: 3. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From 1, we find that 

Total money with Naresh and Ajay = Rs {(28/1OO)x 75000} = 21000. 

From II, we find that money with Ajay = Rs {(3/4) x 21000 } = 15750. 

So, both I and II art required 

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Filed Under: Data Sufficiency

Q:

In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State ?

A) 4000 B) 8000
C) 12000 D) 16000
 
Answer & Explanation Answer: B) 8000

Explanation:

Let the number of candidates appeared from each state be x.

In state A, 6% candidates got selected from the total appeared candidates

In state B, 7% candidates got selected from the total appeared candidates

But in State B, 80 more candidates got selected than State A

From these, it is clear that 1% of the total appeared candidates in State B = 80

=> total appeared candidates in State B = 80 x 100 = 8000

=> total appeared candidates in State A = total appeared candidates in State B = 8000

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Filed Under: Percentage

Q:

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :

A) 2500 B) 2700
C) 2900 D) 3100
 
Answer & Explanation Answer: B) 2700

Explanation:

Total number of votes = 7500 

Given that 20% of Percentage votes were invalid

 => Valid votes = 80%

 Total valid votes = 7500*(80/100) 

1st candidate got 55% of the total valid votes. 

Hence the 2nd candidate should have got 45% of the total valid votes 

=> Valid votes that 2nd candidate got = total valid votes x (45/100) 

7500*(80/100)*(45/100) = 2700

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Filed Under: Percentage