Dear Aspirants, Our IBPS Guide team is providing new series of Quantitative Aptitude Questions for LIC AAO/SBI PO 2019 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.
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1) Abinav marks an item one-third more than the CP but he allows successive discount of x % and (x + 10) %. If the CP of an item is Rs. 900 and he losses 4 %, then find the value of ‘x’?
a) 25 %
b) 15 %
c) 10 %
d) 20 %
e) None of these
2) The price of Item A is 10 % more than that of Item B. How much percentage the price of Item B is less than that of Item A?
a) 11.25 %
b) 10.11 %
c) 8.23 %
d) 9.09 %
e) None of these
3) A, B and C started a business by investing in the ratio of 3: 5: 7. After 5 months, A invested Rs. 15000 more. And after 3 months, C withdraws Rs. 30000. Find the initial investment of B, if the share of A, B and C is in the ratio of 43: 60: 76?
a) Rs. 75000
b) Rs. 90000
c) Rs. 65000
d) Rs. 80000
e) None of these
4) The difference between the ages of Yuvaraj and Ajay, 4 years ago was 8 years. If the ratio of their ages 7 years hence is 5: 4, then find the present age of Yuvaraj’s mother who is 25 years older than Yuvaraj?
a) 64 years
b) 72 years
c) 58 years
d) 54 years
e) None of these
5) An article was sold at a discount of 25% and there was a profit of 10%. If the profit earned was Rs. 96 less than the discount offered, then find the selling price of the article?
a) Rs. 520
b) Rs. 458
c) Rs. 412
d) Rs. 396
e) None of these
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
There are two different companies A and B, invested certain amount in 4 different months (September, October, November and December) in the year 2018.
Company A has invested 51 lakhs average amount in all the given months together. The ratio of the amount invested by company A in the month of September to that of October is 5: 9. The amount invested by company A in the month of November is 20 % more than the amount invested by company A in the month of October. The amount invested by company A in the month of December is 80 lakhs.
The ratio of the amount invested by company B in the month of October to that of the amount invested by company A in the month of December is 1: 2. The amount invested by company B in the month of September is 12 lakhs less than the amount invested in the month of October by company B. The total amount invested by company B in all the given months together is 151 lakhs. The amount invested by company B in the month of November is 7 lakhs less than the amount invested by the same company in the month of December.
6) Find the difference between the amount invested by company A in the month of October to that of the amount invested by company B in the month of September?
a) 22 lakhs
b) 14 lakhs
c) 17 lakhs
d) 25 lakhs
e) None of these
7) The amount invested by company A in the month of November is what percentage of the amount invested by company B in the month of October?
a) 150 %
b) 115 %
c) 135 %
d) 85 %
e) 100 %
8) The amount invested by both the companies in the month of September is what percentage more/less than the amount invested by both the companies in the month of December?
a) 61.4 %
b) 55.2 %
c) 42.8 %
d) 57.6 %
e) None of these
9) Find the difference between the average amount invested by company A in the month of September and December together to that of the average amount invested by company B in the month of November and December together?
a) 12.5 lakhs
b) 11 lakhs
c) 15 lakhs
d) 16.75 lakhs
e) None of these
10) If the amount invested by company B in the month of January 2019 is 12.25 lakhs more than the average amount invested by company B in all the given four months together, then find the amount invested by company B in the month of January 2019?
a) 50 lakhs
b) 65 lakhs
c) 45 lakhs
d) 60 lakhs
e) None of these
Answers :
1) Answer: c)
SP = 900*(96/100) = 864
MP = 900*(4/3) = Rs. 1200
According to the question,
1200*[(100 – x)/100]*[(90 – x)/100] = 864
9000 – 100x – 90x + x2 = 7200
X2 – 190x + 1800 = 0
(x – 180) (x – 10) = 0
= > x = 180, 10 (180 should be eliminated)
= > x = 10 %
2) Answer: d)
Required % = [R/(100 + R)]*100, Here R = 10 %
= > (10/110)*100 = 9.09 %
3) Answer: a)
The initial investment of A, B and C = 3x, 5x and 7x
The share of A, B and C
= > [3x*5 + (3x + 15000)*7]: [5x*12]: [7x*8 + (7x – 30000)*4]
= 43: 60: 76
= > [15x + 21x + 105000]: [60x]: [56x + 28x – 120000] = 43: 60: 76
= > [36x + 105000]: [60x]: [84x – 120000] = 43: 60: 76
According to the question,
(60x)/(84x – 120000) = (60/76)
76x = 84x – 120000
8x = 120000
= > x = 15000
The initial investment of B = 5x = Rs. 75000
4) Answer: c)
4 years ago, Yuvaraj – Ajay = 8
7 years hence, The ratio of Yuvaraj and Ajay = 5: 4 (5x, 4x)
Present age of Yuvaraj and Ajay = 5x – 7, 4x – 7
According to the question,
5x – 4x = 8
x = 8
Present age of Yuvaraj = 5x – 7 = 33
Present age of Yuvaraj’s mother = 33 + 25
= > 58 years
5) Answer: d)
Let the cost price be x,
Selling price = (110/100)*x = 11x/10
Marked price*(75/100) = 11x/10
MP = 22x/15
The profit earned was Rs. 96 less than the discount,
According to the question,
= > (22x/15 – 11x/10) – (11x/10 – x) = 96
= > 55x/150 – x/10 = 96
= > 40x/150 = 96
= > x = 360
Cost price = Rs. 360
Selling price = 360*(110/100) = Rs. 396
Directions (Q. 6 – 10):
Company A:
The average amount invested in all the given months = 51*4 = 204 lakhs
The ratio of the amount invested by company A in the month of September to that of October = 5: 9
The amount invested by company A in the month of November
= > (120/100)*the amount invested by company A in the month of October
November: October = 6: 5
The ratio of the amount invested by company A in the month of September, October, and November = 25: 45: 54
The amount invested by company A in the month of December = 80 lakhs
The amount invested by company A in the month of September, October, November = 204 – 80 = 124 lakhs
124’s = 124
1’s = 1
September = 25 lakhs, October = 45 lakhs, November = 54 lakhs,
December = 80 lakhs
Company B:
The ratio of the amount invested by company B in the month of October to that of the amount invested by company A in the month of December = 1: 2
The amount invested by company B in the month of October
= > (80/2)*1 = 40 lakhs
The amount invested by company B in the month of September
= > 40 – 12 = 28 lakhs
The total amount invested by company B in all the given months together
= > 151 lakhs
The amount invested by company B in the month of November
= > The amount invested by the same company in the month of December – 7 lakhs
December – November = 7 —> (1)
The total amount invested by company B in the month of November and December = 151 – (40 + 28) = 83 lakhs
December + November = 83 —> (2)
By solving the equation (1) and (2), we get,
December = 45 lakhs, November = 38 lakhs, September = 28 lakhs,
October = 40 lakhs
6) Answer: c)
The amount invested by company A in the month of October = 45 lakhs
The amount invested by company B in the month of September = 28 lakhs
Required difference = 45 – 28 = 17 lakhs
7) Answer: c)
The amount invested by company A in the month of November = 54 lakhs
The amount invested by company B in the month of October = 40 lakhs
Required % = (54/40)*100 = 135 %
8) Answer: d)
The amount invested by both the companies in the month of September
= > 25 + 28 = 53 lakhs
The amount invested by both the companies in the month of December
= > 80 + 45 = 125 lakhs
Required % = [(125 – 53)/125]*100 = 57.6 %
9) Answer: b)
The average amount invested by company A in the month of September and December together
= > (25 + 80)/2 = 105/2
The average amount invested by company B in the month of November and December together
= > (38 + 45)/2 = 83/2
Required difference = (105/2) – (83/2) = 22/2 = 11 lakhs
10) Answer: a)
The average amount invested by company B in all the given four months together
= > 151/4 = 37.75
The amount invested by company B in the month of January 2019
= > 37.75 + 12.25 = 50 lakhs
