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Quant practice set 16 for SBI PO PRELIM 2020



SBI Clerk and SBI PO Prelims exam are going to be held in the upcoming months. We have already provided you with the PDFs of many topics of Quantitative Aptitude like Simplification/Approximation, Number Series,datainterpretation.important Arithmetic questions to prepare for SBI Clerk and PO Pre exam. Practicing these questions will help you to know about the level of the questions. To increase your speed and accuracy, enhance your calculations.

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                           START TEST

1.
10x2-x-2=0
6y2+33y+15=0
x<y
x<=y
x>y
x>=y
 the relation cannot be determined

2.
35x2-13x-4=0
9y2 +9y-2=0
x<y
x<=y
x>y
x>=y
 the relation cannot be determined

3.
35x2-46x+15=0
10y2+131y+13=0
x<y
x<=y
x>y
x>=y
 the relation cannot be determined

4.
 10x2+59x+45=0
20y2-13y+2=0
x<y
x<=y
x>y
x>=y
 the relation cannot be determined

5.
2x2-31x= -120
8y2-74y=-143
x<y
x<=y
x>y
x>=y
 the relation cannot be determined

6.
When is mybirthday this year ?
I. It is between october 16 and 18, october 16 being Wednesday.
II. It is not on Friday.
If Statement I is sufficient for the answer.
 If Statement II is sufficient for the answer.
If Statement I and II are sufficient for the answer but neither of the two alone is sufficient
If Statement I or II is sufficient for the answer.
both Statement I and II are insufficient for the answer.

7.
Emirates plains are always punctual in Dubai. How long, at the most, will Mr. mohamed have to wait for the bus ?
I. Mr. mohamed has come to the airport stand at 9 A.M.
II. There is airport at 10 A.M. and Possibly another airport even earlier.
If Statement I is sufficient for the answer.
 If Statement II is sufficient for the answer.
If Statement I and II are sufficient for the answer but neither of the two alone is sufficient
If Statement I or II is sufficient for the answer.
both Statement I and II are insufficient for the answer.

8.
How many iphones were sold in 2019?
I. Last year 100 phones were sold.
II. The number of phones sold this year was 2.5 times that of last year.
If Statement I is sufficient for the answer.
 If Statement II is sufficient for the answer.
If Statement I and II are sufficient for the answer but neither of the two alone is sufficient
If Statement I or II is sufficient for the answer.
both Statement I and II are insufficient for the answer.

9.
How is Bheema related to Akil?
I. Dinesh is the father of Akil and Bheema.
II. Akil is Bheema’s brother.
If Statement I is sufficient for the answer.
 If Statement II is sufficient for the answer.
If Statement I and II are sufficient for the answer but neither of the two alone is sufficient
If Statement I or II is sufficient for the answer.
both Statement I and II are insufficient for the answer.

10.
What is G’s age?
I. G, V and K are all of the same age.
II. Total age of V, K and A is 64 and A is as old as V and K together.
If Statement I is sufficient for the answer.
 If Statement II is sufficient for the answer.
If Statement I and II are sufficient for the answer but neither of the two alone is sufficient
If Statement I or II is sufficient for the answer.
both Statement I and II are insufficient for the answer.


11.
The ratio of age of friend 1, after 3 years and the age of friend 2, 5 years ago is 3 : 5. The sum of the present age of friend1 and friend 2 together is 58 years. Find the age of friend 1, 7 years hence?
25
26
27
28
29

12.
A person invested Rs. 40000 in SI at the rate of 2x % per annum for two years and the same amount is invested in CI at the same rate of interest. The interest received by him in CI is Rs. 576 more interest than the interest received by him in S.I.Find the rate of interest.
10
11
12
13
14

13.
A yacht takes two hours more to travel upstream than travel the same distance in downstream. If the distance travelled by the yacht is 120 km and the ratio of the speed of boat in still water to speed of stream is 5: 1, then what is the speed of the boat in still water?
15
20
25
30
35

14.
A plane covered a distance of 840 km in 14 hours. Ratio of the speed of train to speed of the plane is 4: 3 and the ratio of the speed of bus to train is 1: 2. In how much distance will the bus cover in 8 hours?
300
310
320
330
340

15.
A container contains 90 kg of the mixture of rice and wheat in the ratio of 5: 4 and 45 kg of the mixture is taken out. Then added x kg of the wheat in the remaining mixture, the ratio of the rice and wheat becomes 2: 3. Find the value of x
17.5 kg
18.5 kg
19.5 kg
15.5 kg
16.5 kg

SOLUTIONS:

1.
Option E
10x2-x-2=0
10x2 – 5x+ 4x-2=0
5x(2x -1) + 2(2x -1)=0
(2x-1) ( 5x+2)=0
x= 1/2 , -2/5
6y2+33y+15=0
6y2 +30y+ 3y +15=0
6y( y+5) + 3(y+5)=0
(y+5) ( 6y+3)=0
y= -5, -3/6
Hence the relation cannot be determined

2.
Option C
35x2-13x-4=0
35x2 – 20x+ 7x-4=0
5x(7x -4) + 1(7x -4)=0
(7x-4) ( 5x-1)=0
x= 4/7 , 1/5
9y2 +9y-2=0
9y2 +6y+ 3y -2=0
3y( 3y+2) + 1(3y+2)=0
(3y+2) ( 3y+1)=0
y= -2/3,- 1/3
Hence x>y

3.
Option C
35x2-46x+15=0
35x2 – 25x- 21x+15=0
5x(7x -5) – 3(7x -5)=0
(7x-5) ( 5x-3)=0
x= 5/7 , 3/5
10y2+131y+13=0
10y2 +y+ 130y +13=0
y( 10y+1) + 13(10y+1)=0
(10y+1) ( y+13)=0
y= -1/10,- 13
Hence x>y

4.
Option A
10x2+59x+45=0
10x2 +50x+9x+45=0
10x(x +5) + 9(x +5)=0
(x+5) ( 10x+9)=0
x= -5 , -9/10
20y2-13y+2=0
20y2 -5y- 8y +2=0
5y( 4y-1) – 2(4y-1)=0
(4y-1) ( 5y-2)=0
y= 1/4, 2/5
Hence y>x

5.
Option C
2x2-31x= -120
2x2 -16x-15x+120=0
2x(x -8) -15(x -8)=0
(x-8) ( 2x-15)=0
x= 8 , 15/2
8y2-74y=-143
8y2 -22y-52y+143 =
2y( 4y-11) -13(4y-11)=0
(4y-11) ( 2y-13)=0
y= 11/4, 13/2
Hence x>y

6.
Option A
From Statement I, we conclude that My birthday is on october 17 , which is Thursday, this year. So, only I is needed

7.
Option C
From both the given statements, we find that Mr.mohamed reached the airport stand at 9 A.M. and a airport is sure to arrive at 10 A.M. So, Mr. airport has to wait for at the most one hour.

8.
Option C
Clearly both statements are given the required answer, Hence option C is correct.

9.
Option A
Using the statement I we can answer the question as bheema is a brother of akil.

10.
Option C
As given in statements I and II, we have
G = V = K,
V + K + A = 64
and A = V + k.
take V + K = A in second,
we get 2A = 64 or A = 32.
Thus, V + K = 32 and V = K.
So, V = K = 16. Thus, G = 16.

11.
The ratio of age of f1, after 3 years and the age of F2, 5 years ago = 3 : 5 (3x, 5x)
The present age of F1 and F2 = 3x – 3 and 5x + 5
Given,
3x – 3 + 5x + 5 = 58
8x + 2 = 58
8x = 56
x = 7
The age of F1, 7 years hence = 3x – 3 + 7 = 3x + 4 = 25 years

12.
CI – SI = 576
40000 * [(1 + 2x/100)2 – 1] – (40000 * 2x * 2)/100 = 576
40000 * ([(100 + 2x) /100]2 – 1) – 1600x = 576
40000 * [(10000 + 400x + 4×2 – 10000)/10000] – 1600x = 576
1600x + 16×2 – 1600x = 576
16×2 = 576
x2 = 36
x = 6
The rate of interest = 2x % = 12

13.
Distance = speed * time
120/4x – 120/6x = 2
(30 – 20)/x = 2
10 = 2x
= > x = 5
Speed of the yacht in still water = 5 * 5 = 25 kmph

14.
Distance = Speed * Time
Speed of plane = 840/14 = 60 kmph
Speed of the train = 4/3 * 60 = 80 kmph
Speed of the bus = ½ * 80 = 40 kmph
Distance covered by in 8 hours = 40 * 8 = 320 km

15.
rice = 5/9 * 90 = 50 kg
Wheat = 4/9 * 36 = 40 kg
rice in 45 kg = 5/9 * 45 = 25 kg
Water in 45 kg = 4/9 * 45 = 20 kg
(50 – 25)/(40 – 20 + x) = 2/3
40 + 2x = 75
2x = 35
x = 17.5 kg