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Monday, 18 May 2015

SBI PO 2015: Quantitative Aptitude practice 2

1. The ratio of three numbers A, B and C is 6: 8:15 If A, B and C are increased by 300%, 275% and 100% respectively, what will be the new ratio of A, B and C?

1) 5:4:5 2) 4:5:5 3) 5:4:4 4) 3:4:5 5) 3:4:15

 

2. In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl?

1) 252 2) 210 3) 126 4)90 5)60

 

3. What will be the accrued compound interest at the end of two years, on an amount of Rs. 40 lakh @ 10% pa compounded half-yearly?

1) Rs. 824620 2) Rs. 862025 3) Rs. 864580 4) Rs. 864000 5) Rs. 846080

 

4. A sum was lent at simple interest at a certain rate for 3 years. Had it been lent at a rate 4% higher than the previous rate, it would have fetched? 408 more. What was the sum?

1) Rs. 2700 2) Rs. 3200 3) Rs. 3400 4) Rs. ?3600 5) Rs.?3900

 

5. Two trains start at the same time from Chennai and Banglaore towards each other at the speed of 32 kmph and 48 kmph respectively. When they meet, it is found that one train has travelled 128 km more than the other one. What is the distance between Bangalore and Chennai?

1) 600 km 2) 620 km 3) 640 km 4) 660 km 5) 680 km

 

Direction (Q. 16 - 20): Following line graph shows the percentage of students who passed in 1st Class, 2nd Class and 3rd Class in an exam. The table shows the number of students who got 3rd Class in the exam from different schools.

clip_image002

SCHOOL

No. of students passing in 3rd Class

A

35

B

36

C

100

D

80

E

78

F

130

6. What is difference between the total number students passed and the total number of students getting 1st Class in the exam?

1) 1043 2) 1045 3) 1047 4) 1049 5) 1051

 

7. Total number of students who got 3rd class is what per cent of the total number of students passed?

1) 26.5% 2) 27.5% 3) 28.5% 4) 29.5% 5) 30.5%

 

8. From which school is the number of students who got 1st Class the maximum?

1) A 2) B 3) C 4) E 5) F

 

9. What is the average number of students from all the six schools together who got either first class or third class?

1) 170 2) 172 3) 174 4) 176 5) 178

 

10. Total number of students from school E who got third class is what per cent of the total number of students from school B who got first class?

1) 45% 2) 50% 3) 55% 4) 60% 5) 65%

 

Answer Key

1. 2; Let the numbers be 600, 800 and 1500.

Then the new numbers are 2400, 3000 and 3000.

∴ Ratio = 24 : 30 : 30 = 4 : 5 : 5

 

2. 5; One girl can be chosen in 4C1 = 4 ways

And 4 boys can be chosen in 6C4 = 15 ways

∴ Total number of ways = 4 x 15 = 60 ways

 

3. 2; CI = 40 x (1.05)4 – 40 = 8.62025 lakh

= 862025

 

4. 3; Let the interest rate be r and the sum

X Then clip_image004 = clip_image006 + 408

∴ 3xr + 12x – 3xr = 40800

∴ x = clip_image008 = 3400

 

5. 3; The difference between the speeds of the trains to make the difference of 128 km

= 48 – 32 = 16 kmph

Diff in distance = 128 km

∴ time = clip_image010 = 8 hrs

Ie they meet after 8 hrs.

Total distance = 32 x 8 + 48 x 8 = 256 + 384 = 640 km

 

6. 4; For A, 3rd class = 20% = 35

∴ Total = clip_image012 x 100 = 175

∴ 1st class = 36% of 175 = 63

Similarly, we will find for other schools also.

∴ Total passed = 1610 and total 1st class = 561

∴ Diff = 1610 – 561 = 1049

 

7. 3; Total (3rd class) = 459, Total passed = 1610

∴ % = clip_image014 = 28.5%

 

8. 4; ∴ A = 63, B = 120, C = 75, D = 112, E = 126, F = 65

 

9. 1; Total (1st) = 63 + 120 + 75 + 112 + 126 + 65 = 561

Total (3rd) = 35 + 36 + 100 + 80 + 78 + 130 = 459

∴ Total (1st or 3rd) = 561 + 459 = 1020

∴ Average = clip_image016 = 170

 

10. 5; B1st = clip_image018 x clip_image020 = 120

E3rd = 78

∴ Reqd% = clip_image022 x 100 = 65% Advertisements

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