SBI PO 2018 PYQs

Question 1

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.In a bag, there are 6 red balls, 6 orange balls, and x green balls. The probability of getting the green ball is 1/4.Quantity A:xQuantity B: 4

Accepted Answer

Total balls = 6+6+x = 12+x. Probability of green ball = x/(12+x) = 1/4. Solving for x gives 4x = 12+x, so 3x = 12, and x = 4. Thus, Quantity A = 4, which is equal to Quantity B.

Question 2

Directions: Instructions
Study the given information carefully to answer the given questions.
Point Q is 12 m to the east of Point P. Point T is 18 m to the south of Point Q. Sneha who is standing at Point T, walks 4m* towards east, takes a left turn and walks 18m. She takes a  right turn, walks for 3m and stops at Point V

How far and in which direction is Point Q with respect to Point V ?

Accepted Answer

To find Q's position relative to V, trace the path. Q is 7m west of V. The other points are distractors. Thus, 7m towards west is correct.

Question 3

Directions: Ques No: 44-49
Direction:
The given bar graph shows the number of workers in a factory.
Above the age of 40 years
A
50
B
70
C
110
D
120

In factory C, the number of males above 40 years of age is 30 and in factory A, the number of males above 40 years is 30. Find female workers above the age of 40 in factory C is how much percent more/less than the number of female workers above the age of 40 in factory A?

Accepted Answer

Assume data from a table/chart. If female workers >40 in C is 120 and in A is 30, then (120-30)/30 * 100 = 300%.

Question 4

Directions: Instructions
Study the following information carefully and answer the  questions given below :
S is the daughter of U. V has only two children- S and Y. Y is  married to D. P is the brother of B. V has only two daughters. J is the mother of U. J is married to L. P is married to S.  V is the son of T.

Who among the following is the sister-in-law of B ?

Accepted Answer

To find B's sister-in-law, we need to construct the family tree based on the given relationships. S is identified as the sister-in-law through marriage.

Question 5

Directions: Ques No: 44-49
Direction:
The given bar graph shows the number of workers in a factory.
Above the age of 40 years
A
50
B
70
C
110
D
120

If the total number of females above 40 years in all the factories is 20% then what will be the average number of female workers above 40 years in all the factories?

Accepted Answer

First, calculate the total number of females across all factories. Then, find 20% of this total. Finally, divide this result by the number of factories to get the average.

Question 6

Directions: Instructions
Study the following information carefully and answer the  questions given below :
S is the daughter of U. V has only two children- S and Y. Y is  married to D. P is the brother of B. V has only two daughters. J is the mother of U. J is married to L. P is married to S.  V is the son of T.

How is V related to P ?

Accepted Answer

To determine the relationship, analyze the given family tree. V is the father of P's spouse, making V P's father-in-law. This requires careful tracing of marital and parental links.

Question 7

Directions: Instructions
Each of the questions below consists of a question and two  statements numbered I and II given below it. You have to decide whether the data provided in the statements 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 Statements I and II  together are not sufficient to answer the question.
Give answer e: if the data in both Statements I and II together  are necessary to answer the question.

What is the code of ‘shine’ in a certain code language?I. In that code language ‘shine was peeled off is written as ‘& # @ 9’ and ‘no paint but shine’ is written as ‘7 5 # 8′.II. In that code language `try the new shine’ is written as ’13 # 0′ and ‘we try the new’ is written as ‘6013’.

Accepted Answer

From Statement I, 'shine' is common in both sentences, and '#' is the common code. So, 'shine' = '#'. From Statement II, 'shine' is common in the first sentence and '#' is the common code. Thus, either statement alone is sufficient.

Question 8

Sum of volume of cone (A) and volume of cylinder (H) is 5040 π cm3and height of both cone and cylinder is same that is 20 cm. If radius of cylinder is 12 cm then find the ratio of radius of A to radius of H.

Accepted Answer

Calculate cylinder volume using given radius and height. Subtract it from total volume to find cone volume. Use cone volume formula to find cone's radius, then form the ratio.

Question 9

Directions: Instructions
Each of the questions below consists of a question and two  statements numbered I and II given below it. You have to decide whether the data provided in the statements 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 Statements I and II  together are not sufficient to answer the question.
Give answer e: if the data in both Statements I and II together  are necessary to answer the question.

How C is related to H?I. N is son of H. J is mother of Z. N and Z are cousins. C is husband   of J.II. L is father of C. A is mother of D. L is married to A. H is wife of  D. J is wife of C

Accepted Answer

From Statement I: N is H's son. N and Z are cousins, so H is Z's parent's sibling. J is Z's mother, and C is J's husband. Thus, C is Z's father. Since N and Z are cousins, H is C's sibling. So C is H's brother/brother-in-law. Sufficient. From Statement II: H is D's wife. J is C's wife. L is C's father, A is D's mother, L is married to A. This means L and A are C's parents. D is their child. H is D's wife. C is D's sibling. So H is C's sister-in-law. Sufficient.

Question 10

Sum of X and Y age 7 year ago is 86. X age 20 year ago is equal to Y age 4 year ago. Find the age of Y four year hence.

Accepted Answer

Let current ages be X and Y. (X-7) + (Y-7) = 86, so X+Y = 100. Also, X-20 = Y-4, so X-Y = 16. Solving these equations gives Y=42. Y's age 4 years hence is 42+4 = 46.

Question 11

Directions: Instructions
Each of the questions below consists of a question and two  statements numbered I and II given below it. You have to decide whether the data provided in the statements 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 Statements I and II  together are not sufficient to answer the question.
Give answer e: if the data in both Statements I and II together  are necessary to answer the question.

In which direction point ‘A’ is located with respect to point ‘B’?I. A man starts walking from point ‘A’ towards east and after walking 3 metres reaches point ‘N’, he turns right and walks 7 metres to reach point ‘M’. Then he turns right and walks 6 metres to reach point ‘O’. He again turns right and walks 7 metres to reach point P. He, then, turns left and walks 2 metres to reach point ‘B’.II. A man starts walking from point ‘A’ towards east and after walking 3 metres reaches point ‘N’. From point ‘N’ he walks 7 metres towards south and reaches point ‘M’. From point he walks 6 metres towards west and reaches Point ‘O’. From point ‘O’ he walks 7 metres  towards north and reaches point ‘P’. From point ‘P’ he walks towards west and reaches point ‘B’. The  distance between points A and B is 5 metres.

Accepted Answer

Statement I: A is 3m West of N. N is 7m North of M. M is 6m East of O. O is 7m South of P. P is 2m East of B. This allows determining A's position relative to B. Statement II: A is 3m East of N. N is 7m South of M. M is 6m West of O. O is 7m North of P. P is West of B. Distance AB is 5m. This also allows determining A's position relative to B.

Question 12

Train A of length 140 m can cross a platform of length 180 m in 16 seconds and the ratio of speed of train B and train A is 3 ∶ 2. Find the length of train B if train B cross a man in 15 seconds.

Accepted Answer

First, calculate the speed of train A using total distance (train + platform length) and time. Then, use the speed ratio to find train B's speed. Finally, calculate train B's length using its speed and time to cross a man.

Question 13

Directions: Instructions
In these questions, the relationship between different elements is  shown in the statements. The statements are followed by two conclusions. Give answer

Statements:F<R≥O=M≤T=KConclusions: I.K≥OII.F<M

Accepted Answer

From the statement, O=M and M≤T=K, so O≤K or K≥O. Thus, conclusion I is true. For conclusion II, F<R and R≥O=M. The relationship between F and M cannot be established due to the 'R' variable.

Question 14

Four year ago, the average age of a family of 5 members was 21 years. A baby has born, the average of the family remains the same today. What is the age of the baby?

Accepted Answer

Four years ago, total age was 5 * 21 = 105. Today, without the baby, total age would be 105 + (5 * 4) = 125. With the baby, the family has 6 members and average is still 21, so total age is 6 * 21 = 126. Baby's age is 126 - 125 = 1 year.

Question 15

Upstream speed is 6km/hr less than the downstream stream speed. The speed of the boat is 21km/hr. Find the time to cover the distance of 108 km in the upward direction.

Accepted Answer

Let stream speed be 's'. Downstream speed = 21+s, Upstream speed = 21-s. Given (21+s) - (21-s) = 6, so 2s = 6, s = 3 km/hr. Upstream speed = 21-3 = 18 km/hr. Time = Distance/Speed = 108/18 = 6 hours.

Question 16

Directions: Instructions
In these questions, the relationship between different elements is  shown in the statements. The statements are followed by two conclusions. Give answer

Staements:G=N≤O≥P>Q=RConclusions: I.O>RII.P≤G

Accepted Answer

From G=N≤O≥P>Q=R, we deduce O≥P>Q=R, so O>R is true. For P≤G, we have G=N≤O≥P. The relationship between P and G cannot be definitively established.

Question 17

The perimeter of a rectangle is 420 m. The length of the rectangle is 30 m more than its breadth. Find the time taken to cross it diagonally if the rate of speed is 10m/s.

Accepted Answer

Perimeter 2(L+B) = 420, so L+B = 210. Given L = B+30. Solving gives L=120m, B=90m. Diagonal = sqrt(120^2 + 90^2) = 150m. Time = Distance/Speed = 150/10 = 15 seconds.

Question 18

What will come in place of question mark (?) in the following series?18, 26, 53, 117, 242, ?

Accepted Answer

The pattern is adding consecutive squares: 18 + 2² = 22 (error in question, should be 26), 26 + 3² = 35 (error in question, should be 53). The correct pattern is: 18 + 2³ = 26, 26 + 3³ = 53, 53 + 4³ = 117, 117 + 5³ = 242. So, 242 + 6³ = 242 + 216 = 458.

Question 19

Calculate the probability of forming different words in which letters of wordABJUREDcan be arranged so that vowels always occur together.

Accepted Answer

Total permutations of ABJURED (7 letters) are 7!. Treat vowels (AUE) as one block. Permute (BJRD + AUE block) = 5! ways. Vowels permute internally in 3! ways. Probability = (5! * 3!) / 7! = 1/7.

Question 20

Directions: Instructions
In these questions, the relationship between different elements is  shown in the statements. The statements are followed by two conclusions. Give answer

Statements:F<O=L≥W=SConclusions: I.W≤FII.O≥S

Accepted Answer

From F<O=L≥W=S, we can deduce O≥W and W=S, so O≥S. Thus, conclusion II is true. For I, F<O and O≥W, so no direct relation between F and W can be established.