Quantitative Aptitude Quiz For SBI PO/Clerk Prelims
Q1. Compound interest and simple interest on a certain sum for two years are Rs. 1100 and Rs. 1000 respectively. If rate of interest for both S.I. and C.I is 20% p.a., then find the sum.
Q2. Shikha’s age is one-sixth of her father’s age. Sikha’s father’s age will be twice of Vignesh’s age after 10 years. If Vignesh’s eighth birthday was celebrated 2 years before, then what is Shikha’s present age?
Q3. Raghav investedof his total income in scheme x which offers simple interest at the rate of 15% per annum and rest income in bank which offers compound interest at the rate of 10% per annum. If total interest earned by Raghav after two years is Rs. 6480 then find his total income.
Q4. Rati’s age is three years more than Meera’s age. Sushila’s age is 75% of Rati’s age. If average age of all of them is 12.75 years, then find the age of Rati.
Q5. The difference between S.I. and C.I. on a certain sum is Rs. 40 for two years. Also, the simple interest on the same sum at same rate of interest for two years is Rs. 200 Find the sum.
Directions (6 – 10): Read the given bar graph and answer the following questions.
Q6. How many employees taking a loan from UCO in 2009 and PNB in 2010 were defaulters if 23% from UCO in 2009 and 20% from PNB in 2010 have defaulted?
Defaulters (UCO) = 23% of 1000 = 230
Person taking loan from PNB in 2010 = 2000
Defaulters (PNB) = 20% of 2000 = 400
Total desired defaulters = 230 + 400 = 630
Q7. In 2007, no of defaulters in SBI was 5%. However, each year no of defaulters increases by 10% in number. What will be the difference between the number of defaulters of SBI in the year 2009 and 2012?
Q8. In which of the following years, the difference in no. of employee taking loan from BOB from the previous year is highest?
Q9. If on average, Rs. 175000 per employee loan sanctioned by UCO bank all over the year, what will be total amount sanctioned by UCO in all given years?
= 6000
Total loan amount sanctioned over the years = 6000 × 1,75,000
= Rs. 1,05,00,00,000
Q10. What is the ratio of number of employee taking Loans from SBI and BOB together in all the years and the total no of employee taking loans in 2010 and 2011 together?
Directions (11-15): In the following questions two equations are given. You have to solve both the equations and give answer
Q11. I. x² – 26x + 168 = 0
II. 2y² –19y – 60 = 0
⇒ x² - 12x – 14x + 168 = 0
⇒ (x - 12) (x- 14) = 0
⇒ x =12, 14
II. 2y² - 19y – 60 = 0
⇒ 2y² - 24y + 5y – 60 =0
⇒ 2y (y - 12) + 5 (y - 12) = 0
⇒ (y - 12) (2y + 5) = 0
⇒ y = 12, -5/2
x ≥ y
Q12. I. 3y² + 13y – 16 = 0
II. 3x² – 13x + 14 = 0
⇒ 3y² + 16y – 3y – 16 = 0
⇒ y (3y + 16) – 1 (3y + 16) = 0
⇒ (3y + 16) (y - 1) = 0
⇒ y=1,-16/3
II. 3x² - 13x + 14 = 0
⇒ 3x² - 6x – 7x + 14 = 0
⇒ 3x (x - 2) -7 (x - 2) = 0
⇒ (x - 2) (3x - 7) = 0
⇒ x = 2, 7/3
x > y
Q13. I. x² – 48x + 576 = 0
II. y² = 576
⇒ (x - 24)² = 0
⇒ x = 24, 24
II. y² = 576
⇒ y ± 24
x ≥ y
Q14. I. 4x² – 18x – 36 = 0
II. 6y² + 20y + 16 = 0
⇒ 2x² – 12x + 3x – 18 = 0
⇒ 2x (x - 6) + 3 (x - 6) = 0
⇒ (x - 6) (2x + 3) = 0
⇒ x = 6,-3/2
II. 6y² + 20y + 16 = 0
⇒ 3y² + 10y + 8 = 0
⇒ 3y² +6y + 4y + 8 = 0
⇒3y (y + 2) +4 (y + 2) = 0
⇒ (y + 2) (3y + 4) = 0
⇒ y = -2 ,-4/3
No relation
Q15. I. 2x+ 3y = 5
II. 3x + 4y = 9