## Quantitative Aptitude Prelims Level || 03 – 12 – 2018

Dear Aspirants,
Welcome to Mentor for Bank Exams. Here is the Quantitative Aptitude Quiz to help you practice with the best of latest pattern questions for the upcoming IBPS PO, IBPS Clerk and other bank and Insurance Exams.
1. Difference between 40% of y and 20% of x is 270 whereas difference between 40% of x and 20% of y is zero. Find the sum of ‘x’ and ‘y’ ?
A. 1250
B. 1400
C. 1200
D. 1350
E. 1500
Explanation:
ATQ, 40/100y – 20x/100 = 270 => 2y – x = 1350 ……….. (i)
And, 40x/100 – 20y/100 = 0 => 2x – y = 0 ………….(ii)
On solving (i) and (ii) we get,
2 * (i) + (ii) => 3y = 2700 => y = 900
=> x = 450
Therefore required sum = 900 + 450 = 1350

2. Speed of Satish is 40% of speed of Aman. Aman covers 2340 m in 18 seconds. Find in how much time Satish can cover 468 m.
A. 8 seconds
B. 9 seconds
C. 10 seconds
D. 11 seconds
E. 12 seconds
Explanation:
Speed of Aman = 2340/18 = 130 m/s
Speed of Satish = 40/100 × 130 = 52 m/s
Time taken by Satish = 468/52 = 9sec

3. A retailer buy article A and markup it 20 % above its cost price. At the time of sale if he gave 10% discount instead of 20% and he earns Rs. 4.8 more. Find the cost price of the article A.
A. 100
B. 80
C. 60
D. 40
E. 50
Explanation:
Let C.P of A = x
Marked price of article = 1.2x
ATQ, 1.2x × 0.9 – 1.2x × 0.8 = 4.8  => 1.2x × 0.1 = 4.8 => x = 40

4. A boatman can cover a river of 60 km length and came back at its initial point in 4.5 hrs. If speed of boat is thrice than that of the speed of stream then find the speed of boat?
A. 10
B. 30
C. 20
D. 60
E. 25
Explanation:
Let, speed of stream = x
Speed of boat = 3x
ATQ,
[60/(3x + x)] + [60/(3x – x)] = 4.5
=> 60/4x + 60/2x = 4.5 => x = 10
Speed of boat = 30kmph

5. Area of a given circle is 616 m². Perimeter of a rectangle is same as perimeter of circle. Find the diagonal of the rectangle if length of rectangle is 20% more than the breadth of the rectangle.
A. 2√59
B. 2√62
C. 4√61
D. 4√15
E. 2√65
Explanation:
∏r² = 616 => r = 14m
Perimeter of rectangle = Preimeter of circle
=> 2∏r = 2(l + b)
=> 2 * 22/7 * 14 = 2(1.2b + b)
=> 2.2b = 44 => b = 20
l = 24
Therefore, Diagonal = √(20² + 24²) = √976 = 4√61m

Directions (6 – 10): Study the data carefully and answer the following questions.
Pie-chart given below shows number of persons come to watch movies in five different theaters.
6. If Ratio of male and female come in PVR theatre to watch movies is 4 : 7. Then find the difference between number of male to number of female come in PVR theatre to watch movie.
A. 448
B. 784
C. 224
D. 336
E. 360
Explanation:
Total persons came to PVR theatre = 28/100 * 4400 = 1232
Therefore, required difference between number of male to number of female come in PVR theatre = (7 – 4)/11 * 1232 = 336

7. ‘Cinema’ theatre shows three movies. 25% of person watch Padmavat, 100/3% of person watch padman and remaining watch ‘College Diaries’. Find the average number of person who watch Padmavat and College Diaries.
A. 340
B. 352
C. 368
D. 374
E. 382
Explanation:
Total persons come in cinema theatre = 24/100 * 4400 = 1056
Therefore, required value
= ½ * {[25 ++ (100 – 25 – 100/3)]/100} * 1056 = 1/200 * 200/3 * 1056 = 352

8. 50/3% of the person came in DT cinema bought popcorn. 200/3% of the person bought pepsi and remaining person bought both the items. Find the total number of person who bought atmost one item?
A. 726
B. 583
C. 440
D. 550
E. 660
Explanation:
Total persons come in DT theatre = 18/100 * 4400 = 792
Required value = [50/3 + 200/3] * 792/100 = 660

9. Find the difference between the person who visit Cinema and DT theatre together to the person who visit LIVE & INOX theatre together?
A. 462
B. 484
C. 506
D. 352
E. 528
Explanation:
Required value = 24 + 18 – 14 – 16/100 * 4400 = 12 * 44 = 528

10. Person come to DT theatre is what percent of the person who come to Cinema theatre?
A. 50%
B. 200/3%
C. 75%
D. 250/3%
E. 400/3%
Explanation:
Required %= 18/24 * 100 = 75%

Directions (11 – 15): What will come in the place of the question mark (?) in the following number series?
11. 2, 4, 10, 22, 42, ?
A. 67
B. 70
C. 72
D. 75
E. 78
Explanation:
The pattern is:
2 + 1² + 1 = 4; 4 + 2² + 2 = 10; 10 + 3² + 3 = 22; 22 + 4² + 4 = 42;
42 + 5² + 5 = 72

12. 8, 4, 6, 15, ? , 236.25
A. 46.5
B. 48.5
C. 50.5
D. 52.5
E. 54.5
Explanation:
The pattern is:
8 * 0.5 = 4; 4 * 1.5 = 6; 6 * 2.5 = 15; 15 * 3.5 = 52.5; 52.5 * 4.5 = 236.25

13. 15, 34, 72, 148, ? , 604
A. 300
B. 290
C. 295
D. 280
E. 285
Explanation:
The pattern is
15 + (19 * 1) = 34; 34 + (19 * 2) = 72; 72 + (19 * 4) = 148; 148 + (19 * 8) = 300; 300 + (19 * 16) = 604

14. 25, 30, 20, 40, ? , 80
A. 40
B. 20
C. 10
D. 0
E. 60