SBI PO 2018 PYQs

Question 1

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 2

The total number of animals in the forest A, B and C together is what percent more or less than the total number of animals in the forest D and E together?

Accepted Answer

Calculate total animals in A, B, C and D, E separately. If both sums are equal, the percentage difference is 0%.

Question 3

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 4

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 5

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 6

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 7

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 8

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.

Question 9

A man had Rs. 3000 with him. He kept Rs. 250 with him and distributed the rest. The ratio of A and B was 5 : 6. The ratio of B and C was 3 : 4 and the ratio of C and D was 4 : 3. Find the amount which C got.

Accepted Answer

Total distributed amount is 3000 - 250 = 2750. Combine ratios A:B:C:D as 5:6:8:6. C's share is (8/25) * 2750 = 880.

Question 10

Find the missing number in the series100, 108, 98, 106, 96, ?

Accepted Answer

The series alternates between two patterns: subtracting 2 (100-2=98, 98-2=96) and adding 2 (108+2=110, but here it's 106, so it's 106+2=108, 108+2=110). The second pattern is 108, 106, so it's 108-2=106. The next number should follow the second pattern: 106 - 2 = 104.

Question 11

What is the ratio of officers of company A and B together to the officers of company B and C together?

Accepted Answer

Calculate (A+B) and (B+C) from the data. Then, form the ratio (A+B) : (B+C) and simplify it to its lowest terms to get the correct answer.

Question 12

Statements:B=R≥T<O=P≥SConclusions: I.B<OII.T<S

Accepted Answer

From B=R≥T<O, we cannot establish a definite relation between B and O. From T<O=P≥S, we cannot establish a definite relation between T and S. Thus, neither conclusion is true.

Question 13

What will be the sum on which the rate of interest is 4% per annum for the first 2 yr, 6% per annum for the next 4 yr, and 8% per annum for the period beyond 6 yr, if the simple interest accrued by the sum for a total period of 9 yr is Rs. 4480?

Accepted Answer

Let the sum be P. Total interest = P * (4*2 + 6*4 + 8*3)/100 = P * (8 + 24 + 24)/100 = P * 56/100. Equate this to 4480 to find P = 8000.

Question 14

Find the missing number in the series2, 1, 1, 1.5, 3, ?

Accepted Answer

The pattern is multiplying by 0.5, then 1, then 1.5, then 2. So, the next multiplication factor is 2.5. Thus, 3 * 2.5 = 7.5.

Question 15

By what percentage in the total number of employees of company B more than that of company C?

Accepted Answer

Calculate the difference in employees (B-C), then divide by C's employees and multiply by 100 to find the percentage increase. (142-79)/79 * 100 = 79%.

Question 16

Statements:P>Q≥A A

Accepted Answer

From P>Q≥A, we deduce P>A. So, conclusion I (AA) is true. Both conclusions are true.

Question 17

A 30 m long train crosses a person who is walking at a speed of 8 km/hr in the opposite direction and passes him in 8 seconds. Subsequently, it crosses a second person, walking in the same direction as that of the first person, and passes him in 3 seconds. What is the speed of the second person?

Accepted Answer

First, calculate the train's speed using the relative speed when crossing the first person. Then, use the train's speed and the time taken to cross the second person to find the second person's speed.

Question 18

Find the missing number in the series18, 24, 36, 56, 86, ?

Accepted Answer

The differences between consecutive terms are 6, 12, 20, 30. The second differences are 6, 8, 10. The next second difference is 12, so the next first difference is 30+12=42. Thus, the missing number is 86+42=128.

Question 19

If a pie chart was made of total number of employees, what is the angle subtended by the officers of company A?

Accepted Answer

First, find the percentage of officers in company A from the given data. Then, multiply this percentage by 3.6 (since 1% = 3.6° in a pie chart) to get the angle.

Question 20

Which of the following combinations represents the school in which E studies and the city he likes ?

Accepted Answer

Based on the provided puzzle information, E studies in RIS and likes Bangalore. This combination is derived by systematically eliminating other possibilities for E's school and city.