Quantitative Aptitude Quiz For RBI Grade B/ ECGC PO/ SIDBI Grade A Prelims 2022- 22nd May

Directions (1-5): Study the data carefully & answer the questions.
Table given below shows the total candidate enrolled in 5 different schools and shows the percentage of unqualified candidates & ratio between the qualified male to qualified female in each school.
Schools No. of candidates enrolled % of unqualified candidates Ratio of qualified male : Qualified female

Note : 1. Total candidates enrolled = total qualified candidates + total unqualified candidates .
2. Some data are missing in table, find missing data is necessary.

Q1. If the qualified male in school B is 200 and qualified female in school C is 40% of unqualified candidates in school C, then find ratio of qualified male of C to qualified female in school B ?
(a) 176 : 150
(b) 176 : 125
(c) 96 : 113
(d) 93 : 125
(e) Cannot be determined

Q3.If average of total candidates of all the 5 schools is 1300 and qualified females in school B is 250 then find the average of qualified males in school D and Qualified females in school E. (Given that ratio of qualified males to qualified females in school E is 2 : 1)
(a) 250
(b) 350
(c) 325
(d) 375
(e) 275

Q5.If qualified candidates School D is 400 more than qualified candidates in school E then find total qualified candidates in school D & C together?
(a) 2405
(b) 2345
(c) 1715
(d) 2225
(e) 1820

Directions (6-8): Solve the given quadratic equations and mark the correct option based on your answer—

Q6. I. (2x- 7)² = 25
II. (4y – 1)² = 9
(a) x > y
(b) x ≤ y
(c) x < y
(d) x ≥ y
(e) No relation can be established between x and y.

Q8. I. x² + 8x + 15 = 0
II. 2y² + 21y + 54 = 0
(a) x > y
(b) x ≥ y
(c) No relation can be established between x and y.
(d) x ≤ y
(e) x < y

Directions (9-10): Solve the given quadratic equations and mark the correct option based on your answer—

Q10. I. (2x – 5)² = 9
II. (3y + 4)² = 25
(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(e) x = y or no relation can be established between x and y.

Q11. A, B and C enter into a partnership and invested some amount. After one year A double its investment, B increase its investment by 33⅓% and C increase its investment by 20%. In the third year A and B withdraw their investments and D joins the partnership with C. After three year they got profit in the ratio of 12 : 14 : 17 : 8 (A : B : C : D). If difference between initial investment of B and C is 1150. Then Find out the total initial investment made by A and D together?
(a) 12100
(b) 14400
(c) 13800
(d) 15000
(e) None of these

Q12. A men invested his money in two schemes in the ratio of 3: 4. First scheme offers interest rate of 10% per annum in CI & second in which he invested more money than first at 12.5% per annum in SI. If difference in interest obtained after 3 years is Rs 10140, find money invested by him in both schemes.
(a) Rs 80000
(b) Rs 110000
(c) Rs 130000
(d) Rs 140000
(e) None of these

Q13. Ratio of height of cylinder to that of diameter is 2: 3. This cylinder is formed by melting a sphere having same radius as the radius of circle. Ratio of magnitude of area of circle to magnitude of its circumference is 21: 2. Find height of cylinder.
(a) 14 units
(b) 21 units
(c) 42 units
(d) 28 units
(e) 35 units

Q14. X and Y together can do a work in 10 days. Z can destroy the same work in 28 days. X and Y started the work and work for 12 days simultaneously Z started destroying the work for 12 days. After that X and Z leave and Y complete the remaining work in 4 days in how many days X alone can complete the same work.
(a) 23⅔days
(b) 23 days
(c) 20 days
(d) 15 days
(e) 23⅓days