Quantitative Aptitude Practice Quiz for IBPS Exams

Mentor for Bank Exams
Quantitative Aptitude Practice Quiz for IBPS Exams
Dear Aspirants,
The following practice questions covers Number Series (5 questions), Quadratic Equations (5 questions), Data Interpretation (5 questions) and Word Problems (5 questions) with good level of difficulty. From today onwards we will follow the same pattern of with one change that is Quadratic equations and Data Sufficiency in alternative days. All the best for upcoming IBPS Exams. 

Directions (1 – 5): The following series are based on a specific pattern. In these series one number is wrong, find that odd one.
1. 5, 12, 23, 50, 141, ?
A) 415
B) 430
C) 439
D) 488
E) 452
2. 4, 11, 19, 41, ?, 161
A) 62
B) 108
C) 79
D) 90
E) 85
3. 11, 6, 5, 9, 16, ?
A) 66.5
B) 78.5
C) 89.5
D) 42.5
E) 31.5
4. 3, 5, 10, 20, 37, ?
A) 68
B) 77
C) 78
D) 61
E) 63
5. 5, 7, 11, 37, 143, ?
A) 733
B) 721
C) 764
D) 750
E) 784
Directions (6 – 10): In each of these questions, two equations are provided. On the basis of these you have to find out the relation between p and q. Give answer
a) If p = q, or no relation can be established between p and q.
b) If p> q
c) If q> p
d) If p ≥ q
e) If q ≥ p

Directions (11 – 15):- Study the following graph and answer the following questions:
Total students in Six different schools:-

11. What is the average of girls in all school?
A) 1375
B) 1275
C) 1225
D) 1350
E) None of these
12. What is the difference between the boys in school F and the girls in school D?
A) 600
B) 700
C) 400
D) 200
E) None of these
13. If in school E 30% students got first division, 28% students got second division, 26% students got third division and rest did not pass. Find the failed students.
A) 1000
B) 900
C) 940
D) 960
E) None of these
14. What is the ratio between girls in school B and boys in school C?
A) 8:5
B) 5:8
C) 6:7
D) 7:6
E) None of these
15. The boys in school B and C is approximately what % of total no. of boys?
A) 23
B) 28
C) 38
D) 40
E) None of these
16. The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month, 540 units are consumed, the bill is Rs 1800. In another month, 620 units are consumed and the bill is Rs 2040. In yet another month, 500 units are consumed. The bill for that month would be:  
a) Rs 1560
b) Rs. 1680
c) Rs 1840
d) Rs 1950
e) None of these
17. There are five boxes in a cargo hold. The weight of the first box is 400 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box. The fourth box of 350 kg is 30% lighter than the fifth box. Find the sum of weights of second and fifth boxes?
a) 1200 kg
b) 1100 kg
c) 1375 kg
d) 1258 kg
e) None of these
18. Ram got 30% of the maximum marks in an examination and passed by 10 marks. However, Shyam who took the same examination got 40% of the total marks and got 15 more than the passing marks in the examination. What were the passing marks in the examination? 
a) 5
b) 15
c) 25
d) 20
e) None of these
19. An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again, when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?
a) 33.5%
b) 37.5%
c) 40%
d) 50%
e) None of these
20. A train daily overtakes a cyclist at a fixed time and fixed place. One day cyclist is late by 25 minutes and hence train overtakes him at a point 6 km earlier than the fixed place. Find the speed of the train, if the speed of the cyclist is 12 km/hr.   
a) 62 km/hr
b) 72 km/hr
c) 60 km/hr
d) 48 km/hr
e) None of these
Solutions:
1. D) The pattern is
Difference of difference; first difference is 7, 11, 27, 91, 347 and the second difference is 4 (4^1), 16(4^2), 64(4^3), 256(4^4)
2. C) The Pattern is
4 × 2 + 3 = 11; 11 × 2 – 3 = 19; 19 × 2 + 3 = 41; 41 × 2 – 3 = 79; 79 × 2 + 3 = 161
3. D) The pattern is
11 ×0.5 + 0.5 = 6; 6 ×1 – 1 = 5; 5 ×1.5 + 1.5 = 9; 9 ×1 – 1 = 16; 16 ×2.5 + 2.5 = 42.5
4. E) + (1^2 + 1), + (2^2 + 1), + (3^2 + 1), + (4^2 + 1), + (5^2 + 1)
5. B) The pattern is
5 × 1 + 2 = 7; 7 × 2 – 3 = 11; 11 × 3 + 4 = 37; 37 × 4 – 5 = 143; 143 × 5 + 6 = 721
6. C) II. p + q = 8
Or, p = 8 – q ……(i)
I. 3p + 2q = 19
Or, 3(8 – q) + 2q =19
Or, q = 5
Therefore, p =8 -5 = 3
Hence, q> p
7. B) I.10q2 + 19 q + 9= 0
Or, 10q2 + 10q + 9q + 9= 0
Or, 10q (q + 1) + 9(q + 1) =0
Or, (q + 1)(10q + 9) =0
Or, q = -9/10, – 1
II. 13p2 – 2p – 11 =0
Or, 13p2 – 13p + 11p – 11 = 0
Or, 13p (p – 1) + 11(p – 1) = 0
Or,(13p + 11) (p – 1) =0
Or, p = – 11/13, 1
Hence, p> q
8. D) I. 2p2 + 3p – 5 =0
Or, p = 1, – 5/2
II. 2q2 + 11q + 15 = 0
Or, 2q2 + 6q + 5q+ 15 = 0
Or, 2q(q + 3)+ 5(q + 3) = 0
Or,(q + 3) (2q + 5) = 0
Or, q = -3, – 5/2
Hence, p ≥ q.
9. A) I. 2401 p2= p-2
Or, p4 = 1/ 2401
Or, p4 = (1 / 7)4 or, p= 1/ 7
II. 7p + 7q = 2
Or, 7q + 1 =2
Or, 7q =1
Or, q = 1/ 7
Hence, p = q
10. E) I. p2 – 3p + 2 =0
Or, (p – 2) (p -1) = 0
Or, p =1,2
II. q2 – 7q + 10 = 0
Or, (q – 2) (q – 5) =0
Or, q = 2, 5
Hence, q ≥ p.
11. B) Girls = 1500 × 8/15 + 3500 × 8/14 + 2500 × 1/2 + 4000 × 1/4 + 6000 × 1/3 + 2000 × 3/10
= 800 + 2000 + 1250 + 1000 + 2000 + 600 = 7650
Therefore average = 7650/6 = 1275
12. C) the difference between the boys in school F and the girls in school D
= 2000 × 7/10 – 4000 × 1/4 = 1400 – 1000 = 400
13. D) Percentage of Failed students = 100 – (30 + 28 + 26) = 100 – 84 = 16%
Failed students = 6000 × 16/100 = 960
14. A) Required ratio = 3500 × 8/14 : 2500 × 1/2 = 8 : 5
15. A) Boys = 1500 × 7/15 + 3500 × 6/14 + 2500 × 1/2 + 4000 × 3/4 + 6000 × 2/3 + 2000 × 7/10 = 11850
% = (1500 + 1250)/11850 × 100 = 2750/11850 × 100 = 23.20% ≈ 23%
16. B) Let the fixed amount be Rs.x and the variable cost be Rs.y. Then,
540y + x = 1800 …… (i) and 620y + x = 2040 ……. (ii)
By solving the above equations we get x = 180; y = 3
Therefore fixed charges = Rs.180; variable cost per unit is Rs.3
Therefore, total charges for consuming 500 units = (180 + 500 × 3) = Rs.1680
17. B) Weight of the 1st box = 400 kg
Therefore, weight of 3rd box = 400 × 1.25 = 500kg
Weight of 2nd box = 500 × 1.2 = 600 kg
Weight of 4th box = 350kg = 0.7 × Weight of 5th box = 500 kg
Hence the sum of weights of 2nd and 5th boxes = 600 + 500 = 1100kg
18. A) Let the maximum marks be M, then (40 – 30)% of maximum marks will equal to 15 – 10 = 5 marks
Therefore 10% × M = 5 or M = 50
Also passing marks will be 30% of M – 10 = 15 – 10 = 5
19. B) Suppose the initial quantity of A type petrol is 100, then
Initially Type A = 100; Type B = 0;
Tank is half => Type A = 50; Type B = 50;
Tank is half again => Type A = 25 + 50 = 75; Type B = 25;
Tank is half again => Type A = 75/2 = 37.5; Type B = 62.5
Therefore percentage of A type petrol now is 37.5%
20. B) Suppose the train daily overtakes the cyclist at a fixed point A at 7:00am
One day the cyclist is late by 25 minutes,
Hence the cyclist will reach at the place at 7 : 25am
It is given that cyclist is overtaken by the train at a point B, that is 6 kms earlier than the point A.
The time taken by the cyclist to reach from B to A is 6/12 = 1/2 hour = 30 min.
Thus the cyclist reach at point B at 7 : 25 – 30 = 6.55 am
Clearly the time taken by the train to reach from B to A is 5 min and the time taken by the cyclist is 30 min
Thus the ratio of speeds = 6 : 1
Speed of the train = 72kmph