SBI Clerk Mains Quantitative Aptitude (Day-37)

Dear Aspirants, Our IBPS Guide team is providing new series of Quantitative Aptitude Questions for SBI Clerk Mains 2020 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.

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Application Sums

1) Mr. Sukumar’s total annual entire salary, which was Rs. 6 lakhs per year in 2015, has been reduced by 20% in 2016. In 2015 his family expenditure for education was 60% of the total annual gross salary. The prices of average expenditure for education have increased by 10% between 2015 and 2016. Assuming that the family consumed the same amount of education in 2016, the percentage expenditure on education, calculated on total annual entire salary in 2016, is approximately:   

A) 66.4%

B) 75.6%

C) 82.5%

D) 94.7%

E) None of these

2) Deekshitha has 5 patiyala in her wardrobe. One of them is white the second is blue, the third green, the fourth is yellow and the last is pink . In her wardrobe, she also has 6 tops. One of them is white and the other 5 are black. she opens her wardrobe in the dark and picks out one top and one patiyala pair without examining the colour. What is the likelihood that neither the top nor the patiyala  is white?

A) 5/9

B) 4/9

C) 2/3

D) 1/3

E) None of these

3) The phone bill of a certain landline is partly fixed and partly varies as the no. of calls consumed. When in a certain month 1080 calls are consumed, the bill is rs.3600. In another month 1240 calls are consumed and the bill is Rs.4080. In yet another month 1000 calls are consumed. The bill for that month could be.

A) 3360

B) 3380

C) 3400

D) 3340

E) None of these

4) Selvi’s science test had 65 questions i.e., 15 chemistry, 30 physics, and 20 biology. Although she answered 60% of the chemistry,70% of the physics and 50% of biology problems correctly she did not pass the last test because she got less than 80% of the questions right. How many more questions she would have needed to answer correctly to earn 80% pass grade?

A) 7

B) 12

C) 9

D) 16

E) None of these

5) Three persons Venu, Banu and Renu invested different amounts in a secure deposit scheme for one year at the rate of 9% per annum and earned a total interest of Rs. 2430 at the end of the year. If the amount invested by Banu is Rs. 3750 more than the amount invested by Venu and the invested by Renu is Rs. 1500 more than the amount invested by Banu, what is the amount invested by Banu? 

A) 8250

B) 9500

C) 8645

D) 9750

E) None of these

Quadratic Equation

Directions (6-10): In the following questions two equations numbered I and II are given. You have to solve both the equations and—Give answer

a) if a > b

b) if a < b

c) if a≥ b

d) if a ≤b

e) if a = b or no relation can be established between ‘a’ and ‘b’.

6) I) √1225a +√4900 = 0

II) (81)1/4b + (343)1/3 = 0

 

7) I) 18/a2 +6/a – 12/a2 = 8/a2

II) b2+ 9.68 + 5.64 = 16.95

 

8) I) [(2)5 + (11)3] / 6 =a3

II) 4b3= – (589÷4) + 5b3

 

9) I) 12a2 + 11a + 12 = 10a2+22a

II) 13b2– 18b + 3 = 9b2– 10b

 

10) I) (a(7/5) ÷ 9) = 169 ÷ b(3/5)

II) b(1/4)× b(1/4) × 7 = 273 ÷ b(1/2)

Answers :

1) Answer: C

Sukumar’s salary in 2016 = 600000-(600000*20/100)

=600000-(6000*20)

=600000-120000

=480000

Expenditure on education in 2015 =360000
Expenditure on education in 2016

=360000+360000(10/100)

=360000+36000

=396000

Therefore expenditure on education in 2016

= 396000/480000*100

= 82.5%

2) Answer: C

Probability that patiyala is not white = 4/5

Probability that top is not white =  5/6

Required probability = Probability that patiyala is not white * Probability that top is not white

=4/5*5/6

=4/6

=2/3

3) Answer: A

Let the fixed amount be Rs, x and

The cost of each calls be y. then

1080 y + x =3600   ———–>1

1240 y +x = 4080   ———->2

Subtracting 2 in 1

160y = 480

Y=480/160 = 3

Putting y = 3 in 1 we get

X = 3600 – 1080(3)

=3600-3240

=360

Fixed charge =Rs.360 charge per unit = Rs.3

Total charges for consuming 1000 calls = Rs (360+(1000*3)

=Rs (360+3000)

=Rs.3360

4) Answer: B

Number of attempted correctly = (60% of 15 + 70% of 30 + 50% of 20)

= (60/100*15)+(70/100 *30)+(50/100*20)

=9+21+10

=40

Questions to be answered correctly fpr 80% grade = 80% of 65

= 80/100 *65

=52

Required number of questions = (52 – 40)

=12

5) Answer: D

Let amount invested by venu = x

Amount invested by Banu = x+3750

Amount invested by Renu = x+5250

Now, ( x+ x+3750 x+5250) *9/100 =2430

3x +9000 = 2430 * 100/9

3x = 27000 -9000

x=18000/3

x=6000

hence amount invested by Banu = 6000+3750

= Rs 9750

Directions (6-10) :

6) Answer: A

I) √1225a + √4900 = 0

or, 35a + 70 = 0 or, a =-70/35 = -2

II) 3b + 7 = 0 or b = (-7/3)

:. a > b

7) Answer: E

I) (18 +6a- 12)/a2= 8/a2

or, a =1/3 = 0.33

II) b2= 16.95 – 9.68 – 5.64 = 1.63

b = ±1.277

8) Answer: A

I) a3= (32 + 1331)/6 =1363/6

a = 6.1

II) 5b3– 4b3= 589/4

or b3 = 589/4

b = 5.2

a > b

9) Answer: C

I) 2a2– 11a + 12 = 0

or, a = 4,3/2

II) 4b2– 8b + 3 = 0

B=3/2, 1/2

a ≥ b

10) Answer: D

I) a(7/5)÷9 = 169÷a(3/5)

a(7/5) ×a(3/5) = 169×9

a2 = 1521

a = ± 39

II) b(1/4)×b(1/4)×b(1/2)= 273/7

or, b[(1/4)+(1/4)+1/2)] = 39

or, b = 39

a ≤ b

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