SBI PO 2021 PYQs

Question 1

Directions: Quantitative Aptitude
Direction (31 - 36) -:
In the following question two equations are given in variables x and y. You have to solve these equations and determine the relation between x and y.

I.6x2+13x+6=0II.15y2+13y+2=0

Accepted Answer

Solve both quadratic equations by factorization. For I, roots are -2/3 and -3/2. For II, roots are -1/5 and -2/3. Compare all possible pairs of roots to find x ≤ y.

Question 2

Directions: Quantitative Aptitude
Direction (31 - 36) -:
What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

59% of(25.01×8.01−59)=?

Accepted Answer

Approximate the values: 59% of (25 × 8 - 59). This simplifies to 59% of (200 - 59) = 59% of 141. Calculate 0.59 × 141 ≈ 83.19, which is closest to 84.

Question 3

Directions: Ques No: 31-35
Instructions: Study the following information carefully and answer accordingly.
In the SSC and PO exams, among a certain number of participants (Boy + Girl), some participate in both the events of SSC and PO while some of them participate in PO or SSC alone.
The ratio of Boys to Girls who participate in SSC and PO is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the exams PO and SSC is 2 : 1 and the ratio of Boys to Girls who participate only in the PO exams is  1 : 2. The participation of boys in the SSC exam alone is 10 more than the Girls who participate in it. Boys who participate in both SSC and PO is 20% of the Boys who participate in SSC events alone.

The number of Boys who participated only in PO exam is what percent of Boys who participated only in SSC events?

Accepted Answer

Identify boys participating only in PO (30) and only in SSC (50). Calculate (30/50) * 100 = 60%.

Question 4

Directions: Ques No: 31-35
Study the table and answer the following question. Data regarding the number of people (educated and uneducated) who are attending the seminar.
Day
Number of educated (Males + Female)
Overall ratio uneducated: educated
Total number of males are attending the seminar
Sunday
620
6 : 5
350
Monday
450
4 : 5
340
Tuesday
340
7 : 5
420
Wednesday
250
4 : 5
400
Thursday
460
3 : 4
420
Note
- Total number of people who are attending the seminar = Number of educated people + Number of uneducated people

What the ratio between the total number of educated people on Tuesday (male + female) and the total number of uneducated people on Monday?

Accepted Answer

Calculate total educated people on Tuesday (male + female) and total uneducated people on Monday. Form the ratio and simplify it to its lowest terms.

Question 5

Directions: Quantitative Aptitude
Direction (31 - 36) -:
In the following question two equations are given in variables x and y. You have to solve these equations and determine the relation between x and y.

I.x2−15x+56=0II.y2−17y+72=0

Accepted Answer

Solve both quadratic equations by factorization. For I, factors are 7 and 8, so x=7, 8. For II, factors are 8 and 9, so y=8, 9. Comparing values, x is always less than or equal to y.

Question 6

Directions: Quantitative Aptitude
Direction (31 - 36) -:
What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

1245.12+245.08+?=2499.99

Accepted Answer

First, add 1245.12 and 245.08 to get 1490.20. Then, subtract 1490.20 from 2499.99 to find the missing value, which is 1009.79. Rounding gives 1010.

Question 7

Directions: Ques No: 31-35
Instructions: Study the following information carefully and answer accordingly.
In the SSC and PO exams, among a certain number of participants (Boy + Girl), some participate in both the events of SSC and PO while some of them participate in PO or SSC alone.
The ratio of Boys to Girls who participate in SSC and PO is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the exams PO and SSC is 2 : 1 and the ratio of Boys to Girls who participate only in the PO exams is  1 : 2. The participation of boys in the SSC exam alone is 10 more than the Girls who participate in it. Boys who participate in both SSC and PO is 20% of the Boys who participate in SSC events alone.

Find the ratio of participants who participated only in SSC to only in PO.

Accepted Answer

From the Venn diagram, participants only in SSC are 150. Participants only in PO are 150. The ratio is 150:150, which simplifies to 1:1.

Question 8

Directions: Ques No: 31-35
Study the table and answer the following question. Data regarding the number of people (educated and uneducated) who are attending the seminar.
Day
Number of educated (Males + Female)
Overall ratio uneducated: educated
Total number of males are attending the seminar
Sunday
620
6 : 5
350
Monday
450
4 : 5
340
Tuesday
340
7 : 5
420
Wednesday
250
4 : 5
400
Thursday
460
3 : 4
420
Note
- Total number of people who are attending the seminar = Number of educated people + Number of uneducated people

What is the average number of educated people (Males + Females) who attended the seminar on Sunday, Tuesday, and Wednesday?

Accepted Answer

Sum educated males and females for Sunday, Tuesday, Wednesday. Divide the total by 3 to find the average. (150+200) + (250+300) + (350+400) = 1650. Average = 1650/3 = 550.

Question 9

Directions: Quantitative Aptitude
Direction (31 - 36) -:
In the following question two equations are given in variables x and y. You have to solve these equations and determine the relation between x and y.

I.x2−14x+13=0II.y2−12y+11=0

Accepted Answer

Solve both quadratic equations by factorization. For I, x=1, 13. For II, y=1, 11. Compare all possible pairs of x and y values to determine the relationship.

Question 10

Directions: Quantitative Aptitude
Direction (31 - 36) -:
What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

(√24.01×2+252.16)×2=?

Accepted Answer

Calculate √24.01 as 4.9. Multiply by 2 to get 9.8. Add 252.16 to get 261.96. Finally, multiply by 2 to obtain 523.92, which rounds to 520.

Question 11

What approximate value should come in the place of question mark (?) in the following question?255.89 + (15.98)3÷ 16.09 = 2?× 64 ÷ 2

Accepted Answer

Approximate the values: 256 + 16³ ÷ 16 = 2^? × 64 ÷ 2. This simplifies to 256 + 16² = 2^? × 32. So, 256 + 256 = 2^? × 32, which means 512 = 2^? × 32. Dividing 512 by 32 gives 16. Since 16 = 2⁴, the value of '?' is 4.

Question 12

Three pipes A, B and C can fill a tank in 6 hours together. All three pipes are opened for 2 hours, and then pipe C is closed. The remaining part of the tank is filled by pipes A and B in 7 hours. How much time will pipe C take to fill the empty tank alone?

Accepted Answer

Let total work be 6 units. (A+B+C)'s 1-hour work = 1 unit. In 2 hours, 2 units filled. Remaining 4 units filled by (A+B) in 7 hours. So (A+B)'s 1-hour work = 4/7 units. C's 1-hour work = 1 - 4/7 = 3/7 units. C alone takes 6 / (3/7) = 14 hours.

Question 13

In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.I. x2 - 8√3x + 45 = 0II. y2 - 10√2y + 32 = 0

Accepted Answer

Solve both quadratic equations by factoring or using the quadratic formula. For I, x = 3√3, 5√3. For II, y = 2√2, 8√2. Compare the values to find the relationship.

Question 14

Directions: Quantitative Aptitude
Direction (31 - 36) -:
In the following question two equations are given in variables x and y. You have to solve these equations and determine the relation between x and y.

I.4x2+13x+9=0II.4y2+20y+25=0

Accepted Answer

Solve both quadratic equations for x and y. For I, roots are -1 and -9/4. For II, roots are -5/2 and -5/2. Comparing these values, x is always greater than y.

Question 15

Directions: Quantitative Aptitude
Direction (31 - 36) -:
What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

(?% of 391) ÷ (41% of 239) = 1.989

Accepted Answer

Let the unknown percentage be X. The equation is (X/100 * 391) / (41/100 * 239) = 1.989. Simplify to (X * 391) / (41 * 239) = 1.989. Approximate 391/239 ≈ 1.63 and 1.989/41 ≈ 0.0485. So X * 1.63 / 41 = 1.989, X ≈ 50.

Question 16

What approximate value should come in the place of question mark (?) in the following question?? = {21.88 × 5.25 + 581.98 ÷ 1.9 + √575.86 × 4.95 ÷ 2.97}1/2

Accepted Answer

Approximate values: 22 × 5 + 582 ÷ 2 + √576 × 5 ÷ 3. This simplifies to 110 + 291 + 24 × 5 ÷ 3 = 110 + 291 + 40 = 441. The square root of 441 is 21.

Question 17

2 men can complete the job in 24 days. If the faster one can alone complete the job 20 days faster than the second man, find the time taken by faster man to complete the work.

Accepted Answer

Let the faster man take 'x' days. The slower man takes 'x+20' days. Their combined rate is 1/x + 1/(x+20) = 1/24. Solving this quadratic equation gives x=40. So, the faster man takes 40 days.

Question 18

Directions (Qs 37-42): -:
What approximate value will come in place of the question mark (?) in the following  question? (You are not expected to calculate the exact value)

244.03−654.02+?÷2.01=835.01

Accepted Answer

Approximate the values: 244 - 654 + x/2 = 835. This simplifies to -410 + x/2 = 835. So, x/2 = 1245, and x = 2490. Option 2460 is closest.

Question 19

A train has a speed of 15 m/s and another train having speed of 25 m/s. One train crosses a platform in 25 seconds and other other cross the same platform in 38 sec. If train A passes a pole in 25 sec, find the length of train B .

Accepted Answer

Train A's length is 15 m/s * 25 s = 375 m. Let platform length be P. For train A, 375+P = 15*25. For train B, L_B+P = 25*38. Solve these equations to find P and then L_B.

Question 20

What approximate value should come in the place of question mark (?) in the following question?(4.28 × 4.98)% of (29.89 × 63.84) + 449.9 = 629.8 + ?

Accepted Answer

Approximate the values: (4 × 5)% of (30 × 64) + 450 = 630 + ?. This simplifies to 20% of 1920 + 450 = 630 + ?. Calculate 384 + 450 = 630 + ?, so 834 = 630 + ?. Thus, ? = 204.