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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.
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.
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 25C18 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= (PR2)/1002
320 = (32000* R2)/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.
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| Topic | Daily Publishing Time |
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| Current Affairs Quiz | 9.00 AM |
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This post was last modified on November 20, 2021 8:49 am