Most important questions of quantitative aptitude for SBI PO Prelims 2018 are available here the form of a mock test (35 Questions). These questions are based on important topics of SBI PO Quantitative Aptitude syllabus and there is a high that these questions are being asked in the preliminary exam of SBI PO.
Important topics for preliminary exam of SBI PO are: Permutation & Combination, Probability, Simplification, Profit and Loss, Mixture and Alligations, Simple Interest & Compound Interest & Surds & Indices, Work & Time, Time & Distance, Mensuration – Cylinder, Cone, Sphere, Data Interpretation, Ratio & Proportion, Percentage, Number Systems, Sequence & Series. Multiple choice questions from these topics have been frequently asked in SBI PO exams.
As per latest exam pattern of SBI PO Prelims exam, there will be three sections (English Language, Reasoning Ability and Quantitative Aptitude). You can learn about the complete exam pattern from this article.
35 questions will be asked in Quantitative Aptitude section and candidates need to solve 35 questions in 20 minutes. But candidates need to solve these questions in less than 20 minutes, as this will enhance their speed. Detailed explanations for all the questions all questions are given at the end.
Important questions on Quantitative Aptitude for SBI PO Prelims 2018 are given below:
Direction (1-5): What approximate value will come in place of the question mark (?) in the following equation?
a) 230
b) 240
c) 235
d) 220
e) None of these
a) 8.83
b) 1.54
c) 9.32
d) 1.89
e) None of these
a) 2.1
b) 3.8
c) 5.9
d) 4.7
e) None of these
a) 21/105
b) 8/105
c) 25/105
d) 1313/105
e) 35/105
SBI Clerk 2018 Cut-Off (Expected)
a) 41/5
b) 20/3
c) 23/7
d) 81/4
e) None of these
Directions (6 – 10): In the following given number series, what will come in place of question mark?
6. 402, 1115, 2541, 4680,?
a) 6666
b) 7532
c) 7436
d) 7246
e) None of these
7. 18900, 4200, 1200, 480,?
a) 180
b) 220
c) 320
d) 310
e) None of these
8. 65536, 256, ?, 4, 2
a) 24
b) 32
c) 64
d) 16
e) None of these
9. 24, 100, 404, 1620, ?
a) 6484
b) 6845
c) 6248
d) 5890
e) None of these
10. 1, 27,125, 343,? , 1331
a) 512
b) 729
c) 1000
d) 1045
e) None of these
11. Two candidates participate in election. 10% votes did not cast their vote and 20% votes found invalid. Winner candidate got 75% of the valid votes and won by 10800 votes. Find the total number of votes?
a) 27750
b) 26500
c) 30,000
d) 29000
e) None of these
12. A trader uses a weighing balance that shows 1250 gram for a kilogram. He further marks-up his cost price by 30%. What is the profit percentage?
a) 5%
b) 50%
c) 45%
d) 30%
e) None of these
13. A bag contains Rs 1800 in the form of one rupee, 50 paise and 25 paise coins in the ratio 3: 4: 12. Find the number of 50 paise coins?
a) 1000
b) 900
c) 1200
d) 1400
e) None of these
14. Taxi start from a metro station with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the metro station if he meets the taxis at intervals of 8 minutes?
a) 3 km/hr
b) 4 km/hr
c) 5 km/hr
d) 7 km/hr
e) None of these
15. A boat speeds 1 and a half hours down the stream and 2 and a half hours up the stream of 30 km. What is the speed of the water current in kmph?
a) 5 kmph
b) 20 kmph
c) 12 kmph
d) 4 kmph
16. A tap can fill an empty tank in 12 hours and another tap can empty half the tank in 10 hours. If both the taps are opened simultaneously, how long would it take for empty tank to be filled to its capacity?
a) 30 hours
b) 20 hours
c) 15 hours
d) 12 hours
e) None of these
17. P is twice as fast runner as Q and Q is thrice as fast runner as R, If R travelled a distance in 1 hour 54 minutes, the time taken in 1 hour 54 minutes, the time taken by Q to cover the same distance is
a) 19 minutes
b) 38 minutes
c) 51 minutes
d) 57 minutes
e) None of these
18. If we draw 2 cards from a pack of 52 cards then what will be the probability that one of them is a king and other a queen?
19. A certain sum yields Rs 10110 in 6 years and Rs 6740 in 3 years on compound interest. What is the sum?
a) Rs 4500
b) Rs 4493
c) Rs 4490
d) Rs 4498
e) None of these
20. Find SI on Rs. 3000 at 18% p.a. for the period 5 February 2013 to 18 April 2013, both days inclusive.
a) Rs. 108
b) Rs. 439
c) Rs. 180
d) Rs. 240
e) None of these
Directions (21 -25): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
Directions (26-30): Study the following graph and answer the following questions:
26. If the investment of Company A is 200 Crores, then the investment of C and E together is:
a) 205 Crores
b) 195 Crores
c) 206 Crores
d) 210 Crores
e) None of these
27. What percentage of investment is coming from either Companies E or F?
a) 3%
b) 7%
c) 10%
d) 4%
e) None of these
28. If the total investment other than Companies A and C is Rs 2750 Crores, what is the investment of Companies D and E?
a) 77 Crores
b) 154 Crores
c) 1375 Crores
d) 995 Crores
e) None of these
29. What is the ratio of the investments of companies E to D?
a) 5:1
b) 3:5
c) 7:3
d) 1:5
e) None of these
30. How much degrees are the central angle of Companies B and D together?
a) 90
b) 36
c) 64
d) 12
e) None of these
Directions (31-35): Study the following graph and answer the questions that follow.
Number of candidates (in thousands) qualified in the written test for promotion to two different Companies
31. What was the respective ratio between the number of candidates qualified in the written test in the year 2002 for promotion in ITC group and the number of candidates qualified in the written test in the year 2006 for promotion to Tata group?
a) 8 : 7
b) 7 : 9
c) 7 : 8
d) 7 : 10
e) 8 : 3
32. What was the approximate average number of candidates qualified in the written test for promotion to ITC group over all the year?
a) 4567
b) 4267
c) 4167
d) 4867
e) 4667
33. In which year, the total number of candidates qualified in the written test for promotion to both the companies together was the highest?
a) 2003
b) 2004
c) 2005
d) 2006
e) None of these
34. What is the difference between the total number of candidates qualified in written test in the year 2006 for promotion to both companies together and the number of candidates qualified in written test in the year 2003 for promotion to ITC group?
a) 5000
b) 3000
c) 2500
d) 5500
e) None of the above
35. What was the total number of candidates qualified in the written test for promotion to Tata group over all the years together except 2007?
a) 22500
b) 26500
c) 26500
d) 27500
e) None of the above
Solution1.
Answer (b)
Explanation:
Solution2.
Answer (d)
Explanation:
21^{5.36–3.47} = 21(?)
21^{1.89} = 21?
∴ ? = 1.89
Solution3.
Answer (c)
Explanation:
8^{1.3} × 4^{0.6} × 16^{0.2}
= 2^{3(1.3)} × 2^{2(0.6)} × 2^{4(0.2)}
= 2^{(3.9+1.2+0.8)} = 2^{5.9}
= ? = 5.9
Solution4.
Answer (d)
Explanation:
11/7 + 22/3 + 18/5 = 1313/105
Solution5.
Answer (d)
Explanation:
Solution6.
Answer (b) Explanation: 402 + 713 =1115
1115 + (2 × 713) = 2541
2541 + (3 × 713) = 4680
4680 + (4 × 713) = 7532
Solution7.
Answer (c)
Explanation: Each previous term is divided in the series (4.5, 3.5, 2.5.1.5) to get next term.
Solution8.
Answer (d)
Explanation: From the right hand side, each next term is square of the first term.
Solution9.
Answer (a)
Explanation: 5 × 4 + 4 = 24
24 × 4 + 4 = 100
100 × 4 + 4 = 404
404 × 4 + 4 = 1620
1620 × 4 + 4 = 6484
Solution10.
Answer (b)
Explanation: Each next term, is the cube of consecutive odd numbers starting from 1. The term in place of question mark is 729.
Solution11.
Answer (C)
Explanation: Total no. of votes = 100%
Votes not cast = 10%
Invalid votes = 20%
Valid votes = 90/100 × 80 = 72%
Votes received by winner = 72 × 75/100 = 54%
Votes received by Loser = 72 – 54 = 18%
So, difference = 36% votes = 10800
100% = 10800/36 × 100 = 30,000 votes.
Solution12.
Answer (b)
Explanation: Let the cost price of one gram be Re. 1, then the mark up price be Rs. 1.3 per gram.
Now he sells 1000 gram which seems to be 1250 g which seems to be 1250 g so he charges to a customer 1250 × 1.3 = Rs. 1625 for 1000 g (or Rs. 1000)
Solution13.
Answer (b)
Explanation: Ratio of values of 1 rupee , 50 paise and 25 paise coin is 3/1:4/2:12/4 i. e , 3: 2 : 3 Therefore 3x+2x+3x= 1800
8x = 1800
X= 225.
Value of 50 paise coin = 2 × 225 = 450.
And the number of 50 paise coin s = 450 × 2 = 900.
Solution14.
Answer (c) Explanation: Distance covered in 10 minutes at 20 kmph = distance covered in 8 minutes at (20+x) kmph
20× 10/60 = 8/60(20 + x)
200 = 160 + 8x
8x = 40
x = 40/8 = 5 kmph
Solution15.
Answer (d) Explanation:
Speed upstream= 30* 2/5 (Distance/Time) =12 kmph
Speed downstream= 30* 2/3 =20 kmph
Speed of water current= 1/2*(Downstream speed - Upstream Speed)
=1/2*(20 - 12) = 4 kmph
Solution16.
Answer (C) Explanation: Post of the tank filled in 1 hour
Tank will be filled in 15 hrs.
Solution17.
Answer (b) Explanation: Ratio of the speeds of P and Q.
= P : Q = 2 : 1 = 6 : 3
Q : R = 3 : 1
P : Q : R = 6 : 3 : 1
Ratio of their time taken
1/6 : 1/3 : 1
∴ Time taken by Q
6/2 × 114 minutes
= 38 minutes.
Solution18.
Answer (d)
Explanation: Total number of ways of drawing 2 cards from a pack of 52 cards = 52C_{2} = 52×51 / 1×2 = 26×51
As there are 4 king so number of ways of drawing 1 king from 4 = 4C_{1}= 4
Also there are 4 queens so number of ways of drawing 1 queen from 4 = 4C_{1} = 4
Now the required probability that one of them is king and other a queen = 4×4 / 26×51 = 8/663
Solution19.
Answer (b)
Explanation:
Let P be the sum to be found.
In 3 years, P(1 + r/100)^{3}= 6740 ------ (1)
And, In 6 years, P(1 + r/100)^{6}= 10110------ (2)
Dividing both, we get,
(1 + r/100)^{3} = 10110/6740 = 3/2
Substituting this value in – (1)
P×(3/2) = 6740
P = 4493.33
Solution20.
Answer (a)
Explanation:
Solution21.
Answer (b)
Explanation:
Solution22.
Answer (c)
Explanation:
Solution23.
Answer (d)
Explanation:
Solution24.
Answer (a)
Explanation:
Solution25.
Answer (b)
Explanation:
Solution26.
Answer (c)
Explanation: Investments of C and E = 34 × (200/33) = 206 Crores
Solution27.
Answer (c)
Explanation: Investment from Companies E and F is 3% + 7%= 10%
Solution28.
Answer (c)
Explanation: Investments other than A and C= 100-64= 36%
Investments by D and E = 18%
So, Investment by D and E = 18 × (2750/36)=1375 Crores
Solution29.
Answer (d)
Explanation: Ratio of investments of Companies E to D is 3:15 or 1:5.
Solution30.
Answer (a)
Explanation: Each percentage covers 3.6 degrees (360/100).
Percentage of investment of B and d together is 25
So 25 X 3.6= 90 degrees.
Solution31.
Answer (c)
Explanation: Number of employees qualified in the written test
In the year 1992 for promotion in ITC group= 3500
Number of employees qualified in the written test
In the year 1996 for promotion in Tata group = 4000
Required ratio = 3500/4000=7/8=7∶8
Solution32.
Answer (e)
Explanation: Average number of candidates
(3500+4000+4000+5500+5000+6000)/6
=28000/6≈4667
Solution33.
Answer (e)
Explanation: Number of employees in
2002 is 2000 + 3500 = 5500
2003 is 3500 + 4000 = 7500
2004 is 5000 + 4000 = 9000
2005 is 6000 + 5500 = 11500
2006 is 4000 + 5000 = 9000
2007 is 6500 + 6000 = 12500
Hence, 2007 year was the highest amongst all.
Solution34.
Answer (a)
Explanation: Required difference
= (4000 + 5000) – 4000 = 5000
Solution35.
Answer (e)
Explanation: Required number of candidates
(2 + 3.5 + 5 + 6 + 4) × 1000 = 20500.
SBI PO Cut-off 2018 (Expected)