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DI AND ARITHMETIC (WORD PROBLEMS) 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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Q (1-4)the table has given below shows the number of applicants who have applied for job at various companies as percentage of total number of applicants. The table also shows the number online applicants and absent applicants as a percentage of total applicants of each company. Total number of applicants is 2400000









1.if A is 20% of total applicants who are present at Fox Company for interview and B is equal to present applicants at the time of interview in Kingston Company , then A is what percent of B?
1.  24.35
2.  26.67
3.  24.10
4.  25.34
5.  none of these

2.Total number of offline applicants from HP, Kingston and Fox are how much less than total number 0f present applicants at the time of interview in Google and Jaguar?
1.  270820
2.  150367
3.  201840
4.  170677
5.  230545

3.what is the ratio of total number of present applicants from Kingston to total number of offline applicants from Jaguar?
1.  12:13
2.  21: 17
3.  24:35
4.  7: 11
5.  none of these

4.what is average number of present applicants from all companies?
1.  258654
2.  357264
3.  255678
4.  257892
5.  340429

5.Teena was calculating average of 10 ‘three-digit numbers. But due to mistake she reversed the digits of a number and thus her average increase by 29.7, the difference between the unit digit and hundred’s digit of that number?
1.  4
2.  8
3.  3
4.  2
5.  E. None of these

6.If two pipes function simultaneously, the reservoir will be filled in 6 hours, one pipe fills the reservoir 5 hours faster than other. How many hours does the faster pipe take to fill the reservoir?
1.  5
2.  6
3.  10
4.  12
5.  15

7.In 50 gm alloy of A and B, the A is 80% by weight how much A should be mixed to this alloy so that the weight of A would become 95%?
1.  120
2.  110
3.  115
4.  145
5.  150

8.A mixture of milk and water in a jar contains 28 L milk and 8 L water. X L milk and X L water are mixed to form a mixture. If 40% of the new mixture is 20 L, then find the value of X.
1.  7L
2.  8L
3.  6L
4.  5L
5.  9L

9.There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by Rs. 74 per day while the average expenditure per head diminished by Rs 1. What was the original expenditure of the hostel mess?
1.  Rs.762
2.  Rs.642
3.  Rs.532
4.  Rs.736
5.  Rs.552

10.12 cylindrical pillars of a building have to be painted. The diameter of each pillar is 140 cm and the height is 2 m. What is the cost of painting at the rate of Rs. 7.75 per square meter?
1.  784.60
2.  818.40
3.  887.78
4.  946.98
5.  None of the Above

11.A box contains 6 bottles of variety1 drink, 3 bottles of variety2 drink and 4 bottles of variety3 drink. Three bottles of them are drawn at random, what is the probability that the three are not of the same variety?
1.  261/286
2.  3/4
3.  244/286
4.  254/286
5.  none of these

12.A train overtakes two bikes which are travelling at the speed of 25km/hr and 30km/hr in the same direction the train is moving and crosses them in 36 and 42 seconds respectively. Then the length of the train is:
1.  280m
2.  310m
3.  340m
4.  350m


:::::::::::::::::::: SOLUTIONS:::::::::::::::::::::::


1.Answer : 2. 26.67
Solution –
A is percentage of B= (20×16×80)/(15×64) = 26.67

2.Answer : 3. 201840
Solution :
Total no of offline applicants from HP, Kingston and Fox = (16 /100* 62/100* +15/100*70/100+ 20/100*48/100) * 2400000 =720480
Total number of present applicants at the time of interview in google and Jaguar= (24/100* 82/100 + 25/100*75/100)*2400000= 922320
Difference between these two =201840

3.Answer : 3. 24:35
Solution :
ratio of total number of present applicants from Kingston to total number of offline applicants from Jaguar –
(15×64)/(25×56)=24/3

4.










5.Explanation
Let digit is 100a+10b+c but due to mistake digit changed into 100c+10b+a and difference between these two digits is 99a-99c which is
99a-99c= 29.7×10
a-c=3

6.Answer : 3. 10
Explanation
Let the faster tap fill the tank in x hours
Slower tap fills in (x+5) hours
Now, both taps fill the tank in x(x+5)/(x+x+5)=6 hrs
X2-7x-30=0
X=10 or -3
So faster tap fills the tank in 10 hours

7.


8.Answer : 1. 7L

Explanation:
40% of new mixture = 20L
100% of new mixture=20/40×100
= 50 L
28 + x + 8 + x = 50
2x = 50 – 36
x = 7L

9.Answer :4. Rs.736
Explanation
54*(x−1) −46*x = 74
8x = 128
x = 16
Original total expenditure:
46*x = 46*16 = Rs.736

10.Answer : 2. 818.40
Explanation
CSA of 10 cyc= 10*2πrh
= 2 * 22/7 * 70/100 * 2
= 44*70*2/(700)
= 12*88*70/700
= 105.6
Cost = 7.75*105.6
= 818.4

11.Answer : 1. 261/286
Explanation
Total number of drink bottles = 6 + 3 + 4 = 13.
Let S be the sample space.
Then, n(S) = number of ways of taking 3 drink bottles out of 13.
Therefore, n(S) = 13C3=286
Let E be the event of taking 3 bottles of the same variety.
Then, E = event of taking (3 bottles out of 6) or (3 bottles out of 3) or (3 bottles out of 4)
n(E) = 6c3+ 3C3 +4C3=25
The probability of taking 3 bottles of the same variety = n(E)/n(S) = 25/286
Then, the probability of taking 3 bottles are not of the same variety = 1 – 25/286 = 261/286

12.Answer : 4. 350m
Explanation
25km/hr = 25 x 5/18 = 125/18 m/sec
and 30km/hr = 30 x 5/18 = 150/18 m/sec.
Let the length of the train be X meters and its speed by Y m/sec
Then the relative speed of the train and the bike with speed 125/18 m/sec is (Y – 125/18)
And the relative speed of the train and the bike with speed 150/18 m/sec is (Y – 150/18).
Relative distance covered is equal which is equal to length of train=
(Y-125/18) *36= (Y-150/18) *42
Y=50/3
Distance of train (50/3-125/18) *36 = 350 m