[Download PDF] sbi-associate-po-2007 Paper with Solutions

Instructions

Each of the question below consists of a question and two statements numbered I and II given below it You have to decided whether the data provided in the statement are sufficient to answer the question Read both the statements and
Give answer a:if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question
Give answer b:if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question
Give answer c:if the data either in statement I alone or in statement II alone are sufficient to answer the question
Give answer d:if the data even in both the statement I and II together are not sufficient to answer the question
Give answer e:if the data in both the statement I and II together are necessary to answer the question

Question 111

By selling a product for Rs 100/- how much profit was earned ?
(I)20% profit would have been earned if it had been sold for Rs 90/-
(II)The profit was one-third of the purchase price.

Video Solution

Solution

S.P. = 100, we need to find the profit.

I : if S.P = 90, => profit % = 20%

=> $$\frac{90 - C.P.}{C.P.} * 100 = 20

=> 6 * C.P. = 450 => C.P. = 75

Therefore, Profit = 100 - 75 = Rs. 25

Thus, I alone is sufficient.

II : Let C.P. = 3x

=> Profit = 3x / 3 = x

=> 100 - 3x = x [Since, S.P. - C.P. = Profit]

=> x = 25 = Profit

Thus, II alone is sufficient.

Question 112

A train crosses another train running in the opposite direction in X seconds what is the speed of the train ?
(I)Both the trains are running at the same speed
(II)The first train is Y cm.long.

Video Solution

Solution

Since, we don't know the length of the second train from both statements. Therefore, even both statements combined will not give the required answer.

Question 113

The difference between the two digits of a number is 6.What is the number ?
(I)The digit at the unit place is bigger than the other digit
(II)The sum of two digits is 12.

Video Solution

Solution

Let digit at unit's place = y

Digit at ten's place = x

=> Number = 10x + y

Given : | x-y | = 6

I : y > x => y - x = 6

No. can be 17,28,39

Thus, I alone is not sufficient.

II : x + y = 12

case 1 : if x - y = 6

Solving the two equations, we get x = 9 & y = 3 => No. = 93

case 2 : if y - x = 6

We get, x = 3 & y = 9 => No. = 39

Thus, II alone is not sufficient.

I & II : y - x = 6 & x + y = 12

Solving, we get x = 3 & y = 9

=> number = 39

Thus, both I & II together are sufficient.

Question 114

X,Y and Z are integers Is X an odd number ?
(I)An odd number is obtained when X is divided when X is divided by 5.
(II)(X+Y) is an odd number

Video Solution

Solution

I : When X is divided by 5, the quotient obtained is odd. This can only be possible when X is odd, because if X is even, e.g.- 10,20..., the quotient obtained will be 2,4..,i.e. even.

=> X is odd.

Thus, I alone is sufficient.

II : X + Y = odd. Sum of two numbers is odd iff one is even and other is odd.

case 1 : Let X = odd & Y = even

=> X + Y = odd.

E.g- 5 + 6 = 11

case 2 : Let X = even & Y = odd

=> X + Y = odd.

E.g- 6 + 5 = 11

Hence, we cannot determine whether X is odd or not.

Thus, II alone is not sufficient.

Question 115

What is the capacity of a cylindrical tank ?
(I)Radius of the base is half of its height which is 28 meters
(II)Area of the base is 616 sq.meters and its height is 28 meters

Video Solution

Solution

I : height = 28 & radius = 28/2 = 14

Since, both radius and height are known, we can find the volume of cylindrical tank = $$\pi$$ * $$r^{2}$$ * h$$

= $$\frac{22}{7} * 14*14*28 = 17248$$ cu m.

Thus, I alone is sufficient.

II : height = 28

area of base = $$\pi$$ * $$r^{2} = 616$$

Volume = area of base * height $$= 616*28 = 17248 m^{3}$$

Thus, II alone is also sufficient.

Instructions

Study the following table to answer the questions:

Question 116

What are the total marks obtained by Meera in all the subjects ?

Video Solution

Solution

Total marks obtained by Meera in all the subjects put together = 100 + 80 + 50 + 90 + 90 + 60 = 470

Question 117

What are the average marks obtained by these seven students in History ?

Video Solution

Solution

Average by the students in History = average of the percentages * maximum score possible in History = (80 + 70 + 70 + 60 + 90 + 60 + 80)/7 = 72.86%

So, the required average = 72.86% * 40 = 29.14

Question 118

How many students have got 60% or more marks in all the subjects ?

Video Solution

Solution

We can observe that Kunal and Soni scored more than or equal to 60% in every subject.

Question 119

What is the overall percentage of Kunal ?

Video Solution

Solution

The overall percentage of Kunal = $$\frac{total.marks.obtained}{total.marks.possible}*100$$ = $$ \frac{60 * .9 + 40 * .7 + 130 * .6 + 150 * .9 + 120 * .7 + 80 * .7}{60 + 40 + 130 + 150 + 120 + 80}*100$$ = 75%

Question 120

In which subjects is the overall percentage the best ?

Video Solution

Solution

We calculate the average of the percentages to obtain the overall percentage. Maths has the highest overall percentage.

It's overall percentage is (90 + 100 + 90 + 80 + 80 + 70 + 65)/7 = 575/7 = 82.14

CAT Content

sbi-associate-po-2007

By selling a product for Rs 100/- how much profit was earned ?(I)20% profit would have been earned if it had been sold for Rs 90/-(II)The profit was one-third of the purchase price.

A train crosses another train running in the opposite direction in X seconds what is the speed of the train ?(I)Both the trains are running at the same speed (II)The first train is Y cm.long.

The difference between the two digits of a number is 6.What is the number ?(I)The digit at the unit place is bigger than the other digit (II)The sum of two digits is 12.

X,Y and Z are integers Is X an odd number ?(I)An odd number is obtained when X is divided when X is divided by 5.(II)(X+Y) is an odd number

What is the capacity of a cylindrical tank ?(I)Radius of the base is half of its height which is 28 meters (II)Area of the base is 616 sq.meters and its height is 28 meters

What are the total marks obtained by Meera in all the subjects ?

What are the average marks obtained by these seven students in History ?

How many students have got 60% or more marks in all the subjects ?

What is the overall percentage of Kunal ?

In which subjects is the overall percentage the best ?

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By selling a product for Rs 100/- how much profit was earned ?
(I)20% profit would have been earned if it had been sold for Rs 90/-
(II)The profit was one-third of the purchase price.

A train crosses another train running in the opposite direction in X seconds what is the speed of the train ?
(I)Both the trains are running at the same speed
(II)The first train is Y cm.long.

The difference between the two digits of a number is 6.What is the number ?
(I)The digit at the unit place is bigger than the other digit
(II)The sum of two digits is 12.

X,Y and Z are integers Is X an odd number ?
(I)An odd number is obtained when X is divided when X is divided by 5.
(II)(X+Y) is an odd number

What is the capacity of a cylindrical tank ?
(I)Radius of the base is half of its height which is 28 meters
(II)Area of the base is 616 sq.meters and its height is 28 meters