Dear Students,

Numerical Ability or Quantitative Aptitude Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Quantitative Aptitude quiz to help you practice with the best of latest pattern questions.

Directions (1-5):In the following questions two equations are given, numbered (I) and (II). You have to solve both equations and Give answer
(a) If x > y
(b) If x ≥ y
(c) If y > x
(d) If y ≥ x
(e) If x = y or no relation can be established

Directions (6-10): Calculate the approximate value of given question.

Q6. (13.89) ² + √3598.97 – ? + 10.89 % of 1999.9 = (17.9)2
(a) 140
(b) 152
(c) 166
(d) 178
(e) 180

Q7. (7.97) ² – 9.87% of 239.97 + (17.87) ² + 419.97 = (?)2
(a) 18
(b) 22
(c) 36
(d) 40
(e) 28

Q8. (?+134.5)/12.9 + (19.87) ² – 24.89 % of 563.8 = (16.98)2 – 8.79
(a) 138
(b) 158
(c) 124
(d) 110
(e) 150

Q9.  ? × 22.97 + (24.97) ² – (19.89) ² + 188.9 = (22.93) ²
(a) 16
(b) 10
(c) 5
(d) 1
(e) 17

Q10. 593.89/?+14.87×35.88+1259.81/17.93=(25.89)^2
(a) 2
(b) 9
(c) 15
(d) 20
(e) 17

Directions (11– 15): Study the following graph carefully and answer the questions given below
Number of students enrolled in three different colleges P, Q and Rin five different years.

Q11. Ratio of number of male to female students in college Qin 2011 is 16: 9 and total professors in same year and in same college is 100/9% of total female students from the same college and in same year then, find total number of professor in college Qin 2011.
(a) 18
(b) 15
(c) 20
(d) 22
(e) 25

Q12.  If number of male students in college Rin 2013 and male students in college Pin2010 are equal, then what is the percentage of female students in college Pin 2010? Given that ratio of male to female students in college Rin 2013 is 13: 12
(a) 100/3%
(b) 50/3%
(c) 40/3%
(d) 22/7%
(e) None of these

Q13.  If 20% of students of college Rin 2014 are transferred in the same college in 2012, then find the ratio of students in college Rin 2012 to the total students in 2014 now.
(a) 17/60
(b) 23/222
(c) 23/111
(d) 34/113
(e) None of these

Q14. Average of students in college Q from all the years are what percent less/more than the average students in college R from all the years together? (Approximately)
(a) 12%
(b) 10%
(c) 4%
(d) 9%
(e) 6%

Q15.If 20% of total students in 2013, are failed in yearly exam, 75% of total students are passed in year 2014 in yearly exams then what will be total students in 2015 if 400 more students are enrolled in 2015 from both years 2013 and 2014 together (consider enrollment is cancelled when a student fails in exam)
(a) 2340
(b) 2900
(c) 2440
(d) 2800
(e) 2250

Solutions

S1. Ans. (e)
Sol.
I. 3y²–13y – 38 = 0
⇒ 3y² – 19y + 6y – 38 = 0
⇒ y (3y–19) + 2(3y–19) = 0
⇒ (3y–19) (y+2) = 0
⇒ y = – 2, 19/3
II. 5x² + 17x–54 = 0
⇒ 5x² + 27x –10x –54 = 0
⇒ x(5x+27) – 2 (5x+27) = 0
⇒ (x–2) (5x+27) = 0
⇒ x = 2, – 27/5
No relation

S2. Ans. (a)
Sol.
I. 4x + 7y = 12
II. 5x + 6y = 16
Multiplying eq. (i) with 5 and eq. (ii) with 4 and subtracting eq. (i) from eq (ii), we get

– 11y = 4

y = – 4/11
Put this value of y in eq. (i)
4x – 28/11 = 12
⇒ x = 3 + 7/11
= 40/11
⇒ x > y

S3. Ans. (e)
Sol.

S4. Ans. (a)
Sol.

S5. Ans. (e)
Sol.

S6. Ans.(b)
Sol.

S8. Ans.(a)
Sol.

S9. Ans.(c)
Sol.
? × 23 + (25)² - (20)² + 189 = (23)²
23 × ? + 225 + 189 = 529
23 × ? = 115
? = 5

S10. Ans.(b)
Sol.
594/?+15×36+1260/18=(26)²
594/?+540+70=676
?=594/66
? = 9

S11. Ans.(b)
Sol.
Total number of professors = 1/9×9/25×375=15

S12. Ans.(c)
Sol.
Number of male students in college P in 2010 = 13/25×500=260
Required percentage = (300-260)/300×100
= 40/3%
=131/3%

S13. Ans.(a)
Sol.
20% students in college R in 2014 = 20/100×450=90
Total students of college R 2012 = 250 + 90 = 340
Required ratio = 340/1200
= 17/60

S14. Ans.(e)
Sol.
Total students in college Q in all years =350+375+375+450+325
= 1875
Total students in college R from all years = 275+300+250+500+450
= 1775
Required percentage = (375-355)/355×100
=5.6%
~ 6% more

S15. Ans.(a)
Sol.
Total students in 2015 who are enrolled now are
= 1300× 80/100+1200×75/100+400
=2340