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**Directions (1-8): For each of the following questions two statements are given. Use the data of those statements and then determine which of the following statements is necessary to answer the question.**

a) Statement I is sufficient to answer the question.

b) Statement II is sufficient to answer the question.

c) Either Statement I or statement II is sufficient to answer the question.

d) Neither Statement I nor statement II is sufficient to answer the question.

e) Both Statements I and II are necessary to answer the question.

**1) In how many ways can a student answer 18 questions?**

**Statement**** I: **All the questions has two sub-questions namely question A and question B. A student must answer either question A or question B.

**Statement II: **A student is asked to answer 18 questions out of 25 questions

**2) How much minimum mark is required to pass an examination?**

**Statement**** I:** A student will be declared passed if he secures 34.70% of the total marks.

**Statement II: **A student secured 30% of the total marks in the examination and failed by 18 marks. If he had secures 21 more marks, his percentage of marks would have been 37%.

**3) What is the length of the train B?**

**Statement**** I:** Relative speed of train A to train B is 82 m/min.

**Statement II: **Train A crosses a man in 118 sec and train B running in opposite direction in 13 sec.

**4) What is the selling price for a profit of 40%?**

**Statement**** I: **A shopkeeper sold an item to a customer Ragav at a profit of 50% who sold to his friend Kathir for Rs 20000 and claims a profit of Rs 2000.

**Statement II: **A shopkeeper sold a product at a profit of 30% if he had sold it at a profit of 20% he may lose Rs 800

**5) A work is completed by three workers namely Mani, Karthi and Vibhu, working together for Rs 12300. What is the wage share of Karthi?**

**Statement I: **Mani and Karthi can complete the work, working together in 8 days. After working together for 6 days, Mani and Karthi are replaced by Vibhu and Vibhu can complete the remaining work in 3 days.

**Statement II:** Mani and Vibhu together can complete the same work in 72/7 days.

**6) What is Prabhu’s present age?**

**Statement I: **The ratio of the present age of Prabhu and his sister Vanitha’s present age is 2:3

**Statement II: **Prabhu’s present age is double the age of his Son Mani. Four years hence, the ratio of Vanitha’s age to Mani’s will be 24:13.

**7) What is the rate of interest per annum?**

**Statement I: **The difference between the compound interest and the simple interest on an amount of Rs 32000 in two years is Rs 320.

**Statement II: **An amount triples itself at simple interest in 14 years.

**8) In what time the boat cover a distance of 120km upstream?**

**Statement I: **A boat covers 24km downstream in 3 hours.

**Statement II: **The speed of the current is 25% of its downstream speed.

**Directions (9-10): In each of the following questions, a question is followed by three statements I, II and III. Read all the statements to find the answer to given question and then answer accordingly that which statement/s can give the answer alone/together.**

**9) Pipe D is opened for first 6 minutes then closed and pipe C is opened. Find the time taken by pipe C to fill the remaining part of the tank.**

- Pipe A and pipe B together can fill a tank in 15 minutes.
- With the help of pipe D they can fill the tank in 12 minutes.
- Pipe C and pipe D together can fill the tank in 10 minutes.

a) All I, II and III

b) Only II and III

c) Only II

d) Any two of the three

e) Even I, II and III together are not sufficient.

**10) Find the age of Rajni after 7 years.**

- Ratio of the ages of Raju and Dinesh before four years was 4:3 respectively. After four years, ratio of their ages will be 6:5 respectively.
- Sum of the present ages of Rajni and Vikash is equal to sum of the present ages of Raju and Dinesh.
- Rajni is six years older than Dinesh.

a) Only III

b) Only II and either I or III

c) Only I and III

d) All I, II and III

e) None is sufficient

**Answers :**

**1). Answer: b)**

From statement II, we can say that A student can answer in 25C_{18 }ways.

**Hence statement II alone is sufficient to answer the question.**

**2). Answer: b)**

**From statement II, **

Let x be the total marks of an examination.

Then, 30% of x +21 = 37% of x

x= 300

Thus passing marks= [(30/100)*300]+ 18

= 90+18

= 108

Hence **Statement II alone is sufficient to answer the question.**

**3). Answer: d)**

**Even if we combine both statements, we cannot find the length of the train.**

**4). Answer: c)**

Let the cost price of an item be Rs x.

**From Statement I,**

From question, we observe that,

The selling price of Ragav is same as cost price of Kathir.

Let the cost price of an item be Rs x.

Then cost price of an item= 20000-2000= Rs 18000

Thus, x*150/100= 18000

x= Rs 12000

Then required selling price= 12000*140/100=Rs 16800

**From Statement II,**

(130x/100)- (120x/100) = 800

10x/100= 800

x= Rs 8000

Then, Required selling price= 8000*140/100= Rs 11200

**Either Statement I or statement II is sufficient to answer the question.**

**5). Answer: e)**

**Statement I:**

Given that, Mani and Karthi can complete the work in 8 days.

Then work done by Mani and Karthi in 6 days= 6/8= ¾

Hence Remaining work= 1-(3/4) = ¼

Thus Vibhu can complete the work in 4*3 days. (i.e.) 12 days

**Statement II: **Given that, Mani and Vibhu together can complete the same work in 72/7 days

Now from Statement I and Statement II, we have,

Mani’s one day work= (7/72)- (1/12)= 1/72

Karthi’s one day work= (1/8)- (1/72)=1/9

Ratio of one day’s work of all of them= 1/72: 1/9:1/12

= 1:8:6

Thus wage of Karthi= 8/15*12300= Rs 6560

**Thus , Both Statements are sufficient to answer the question**.

**6). Answer: e)**

Let x be the age of Prabhu and y be the age of Mani and z be the age of Vanitha.

From Statement I,

x= 2/3*z

From Statement II,

x=2y and 13y-24z=44

After solving all the above equations, we can find the present age of Prabhu.

Hence,** Both Statements I and II are necessary to answer the question**

**7). Answer: c)**

**Statement I:**

We know that, difference between the compound interest and the simple interest= (PR^{2})/100^{2}

320 = (32000* R^{2})/100*100

R= 10%

**Statement II:**

Let P=100

n=14

We know that, SI= pnr/100

If we substitute these values we can find the rate of interest per annum.

Hence **Either Statement I or statement II is sufficient to answer the question.**

**8). Answer: e)**

Let x be the speed of the boat in still water and y be the speed of the current

From Statement I,

Downstream speed= 24/3= 8 km/hr

(i.e) x+y=8

From Statement II,

Speed of the current= 25% of 8 km= 2 km/hr

Then speed of the boat in still water=6 km/hr

Thus required time= 120/4= 30 hour

Hence **Both Statements I and II are necessary to answer the question**

**9). Answer: a)**

**From I:**

1/A + 1/B = 1/15

**From II:**

1/A + 1/B + 1/D = 1/12

**From III:**

1/C + 1/D = 1/10

**From I, II and III**

1/A + 1/B = 1/15 —- (i)

1/A + 1/B + 1/D = 1/12 —- (ii)

1/C + 1/D = 1/10 —– (iii)

Now,

1/A + 1/B + 1/D – 1/A – 1/B = 1/12 – 1/15

=> 1/D = (5 – 4)/60

=> 1/D = 1/60

Putting this value in equation (iii)

=> 1/C + 1/60 = 1/10

=> 1/C = 1/10 – 1/60

=> 1/C = (6 – 1)/60

=> 1/C = 5/60

=> 1/C = 1/12

Let, the required time = t minutes

6/60 + t/12 = 1

=> 1/10 + t/12 = 1

=> t/12 = 1 – 1/10

=> t/12 = (10 – 1)/10

=> t/12 = 9/10

=> t = 9/10 x 12

=> t = 54/5 minutes

**Hence, ****All I, II and III are required.**

**10). Answer: c)**

**From I:**

Let the present ages of Raju and Dinesh be 4x years and 3x years respectively.

(4x + 8)/(3x + 8) = 6/5

=> 20x + 40 = 18x + 48

=> 20x – 18x = 48 – 40

=> 2x = 8

=> x = 4

**From II:**

Rajni + Vikash = Raju + Dinesh

**From III:**

Rajni = Dinesh + 6

**From I and III:**

Let the present ages of Raju and Dinesh be 4x years and 3x years respectively.

(4x + 8)/(3x + 8) = 6/5

=> 20x + 40 = 18x + 48

=> 20x – 18x = 48 – 40

=> 2x = 8

=> x = 4

Present age of Dinesh = 3x + 4 = 3 x 4 + 4 = 16 years

Present age of Rajni = 16 + 6 = 22 years

Age of Rajni after 7 years = 22 + 7 = 29 years

**Hence, ****Only I and III are required.**

**Daily Practice Test Schedule | Good Luck**

Topic |
Daily Publishing Time |

Daily News Papers & Editorials |
8.00 AM |

Current Affairs Quiz |
9.00 AM |

Quantitative Aptitude “20-20” |
11.00 AM |

Vocabulary (Based on The Hindu) |
12.00 PM |

General Awareness “20-20” |
1.00 PM |

English Language “20-20” |
2.00 PM |

Reasoning Puzzles & Seating |
4.00 PM |

Daily Current Affairs Updates |
5.00 PM |

Data Interpretation / Application Sums (Topic Wise) |
6.00 PM |

Reasoning Ability “20-20” |
7.00 PM |

English Language (New Pattern Questions) |
8.00 PM |

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