NIACL AO Prelims – Quantitative Aptitude Questions Day- 82
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NIACL AO Prelims â€“ Quantitative Aptitude Questions Day- 82
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Question 1 of 10
1. Question
Simple interest on a certain sum of money for 2 years at 6% per annum is half the compound interest on Rs. 15000 for 2 years at 10% per annum. The sum placed on simple interest is?
Correct
Answer: c)
Compound Interest:
15000*(10/100) = 1500
16500*(10/100) = 1650
C.I = 3150
S.I = (1/2)*C.I = 3150/2 = 1575
According to the question,
= > S.I = PNR/100
= > 1575 = P*2*6/100
= > P = (1575*100)/12
= > P = Rs. 13125
Incorrect
Answer: c)
Compound Interest:
15000*(10/100) = 1500
16500*(10/100) = 1650
C.I = 3150
S.I = (1/2)*C.I = 3150/2 = 1575
According to the question,
= > S.I = PNR/100
= > 1575 = P*2*6/100
= > P = (1575*100)/12
= > P = Rs. 13125
Question 2 of 10
2. Question
A box contains 5 red balls, 4 pink balls and 3 yellow balls. If 2 balls are drawn at randomly, then the probability of getting at least one ball is pink?
Correct
Answer: a)
Total probability n(S) = 12C_{2}
Required probability = 1 â€“ P(none is pink)
Probability of getting none is pink balls,
P(E) = n(E)/n(S)
P(E) = 8C_{2}/12C_{2} = 14/33
Required probability = 1 â€“ P(none is pink)
= > 1 â€“ (14/33)
= > 19/33
Incorrect
Answer: a)
Total probability n(S) = 12C_{2}
Required probability = 1 â€“ P(none is pink)
Probability of getting none is pink balls,
P(E) = n(E)/n(S)
P(E) = 8C_{2}/12C_{2} = 14/33
Required probability = 1 â€“ P(none is pink)
= > 1 â€“ (14/33)
= > 19/33
Question 3 of 10
3. Question
The sum of (3/5) of a number and 42 % of the same number is 255. What is the 54 % of the number?
Correct
Answer: d)
(3/5)x + (42/100)x = 255
(60x + 42x)/ 100 = 255
(102x/100) = 255
X = 255*(100/102) = 250
54 % of the number = 250*(54/100) = 135
Incorrect
Answer: d)
(3/5)x + (42/100)x = 255
(60x + 42x)/ 100 = 255
(102x/100) = 255
X = 255*(100/102) = 250
54 % of the number = 250*(54/100) = 135
Question 4 of 10
4. Question
The ratio of present ages of P and Q is 1: 3. The present age of P is 3 times the present age of R. Sum of the present age of P, Q and R is 65 years. Find the present age of Q?
Correct
Answer: b)
The ratio of present ages of P and Q = 1: 3 (x, 3x)
P = 3R
R = x/3
P + Q + R = 65
X + 3x + (x/3) = 65
13x/3 = 65
13x = 65*3
X = 15
Present age of Q = 3x = 45 years
Incorrect
Answer: b)
The ratio of present ages of P and Q = 1: 3 (x, 3x)
P = 3R
R = x/3
P + Q + R = 65
X + 3x + (x/3) = 65
13x/3 = 65
13x = 65*3
X = 15
Present age of Q = 3x = 45 years
Question 5 of 10
5. Question
A, B and C started a business by investing in the ratio of 2: 3: 4. After 4 months, A invested Rs. 10000 more and B withdraw Rs. 5000. Find the initial investment of C, if the ratio of share of A, B and C is 2: 2: 3?
Directions (6 â€“ 10): Study the following information carefully and answer the given questions:
Following pie chart shows the total number of population in different cities in certain state and the table shows the percentage of male among them.
If the percentage of literate males and illiterate females of city D is 72 % and 34 % respectively, then find the difference between the literate males and literate females in city D?
1) Simple interest on a certain sum of money for 2 years at 6% per annum is half the compound interest on Rs. 15000 for 2 years at 10% per annum. The sum placed on simple interest is?
a) Rs. 18500
b) Rs. 21250
c) Rs. 13125
d) Rs. 15725
e) None of these
2) A box contains 5 red balls, 4 pink balls and 3 yellow balls. If 2 balls are drawn at randomly, then the probability of getting at least one ball is pink?
a) 19/33
b) 71/83
c) 57/75
d) 45/62
e) None of these
3) The sum of (3/5) of a number and 42 % of the same number is 255. What is the 54 % of the number?
a) 180
b) 225
c) 160
d) 135
e) None of these
4) The ratio of present ages of P and Q is 1: 3. The present age of P is 3 times the present age of R. Sum of the present age of P, Q and R is 65 years. Find the present age of Q?
a) 15 years
b) 45 years
c) 5 years
d) 60 years
e) None of these
5) A, B and C started a business by investing in the ratio of 2: 3: 4. After 4 months, A invested Rs. 10000 more and B withdraw Rs. 5000. Find the initial investment of C, if the ratio of share of A, B and C is 2: 2: 3?
a) Rs. 30000
b) Rs. 45000
c) Rs. 40000
d) Rs. 35000
e) None of these
Directions (6 â€“ 10): Study the following information carefully and answer the given questions:
Following pie chart shows the total number of population in different cities in certain state and the table shows the percentage of male among them.
6) The total female population of city A is what percentage of total female population of city C?
a) 62.5 %
b) 75 %
c) 56.25 %
d) 70.5 %
e) None of these
7) Find the ratio between the total population of city B to that of total male population of E and F together?
a) 142: 113
b) 166: 125
c) 247: 158
d) 200: 139
e) None of these
8) Find the difference between the total female population of city D to that of total male population of city B?
a) 18560
b) 20480
c) 16420
d) 17890
e) None of these
9) Find the total male population of city C, D and E together?
a) 256820
b) 289490
c) 208960
d) 234870
e) None of these
10) If the percentage of literate males and illiterate females of city D is 72 % and 34 % respectively, then find the difference between the literate males and literate females in city D?
a) 8448
b) 9256
c) 7042
d) 9564
e) 8640
Answers:
1) Answer: c)
Compound Interest:
15000*(10/100) = 1500
16500*(10/100) = 1650
C.I = 3150
S.I = (1/2)*C.I = 3150/2 = 1575
According to the question,
= > S.I = PNR/100
= > 1575 = P*2*6/100
= > P = (1575*100)/12
= > P = Rs. 13125
2) Answer: a)
Total probability n(S) = 12C_{2}
Required probability = 1 â€“ P(none is pink)
Probability of getting none is pink balls,
P(E) = n(E)/n(S)
P(E) = 8C_{2}/12C_{2} = 14/33
Required probability = 1 â€“ P(none is pink)
= > 1 â€“ (14/33)
= > 19/33
3) Answer: d)
Â (3/5)x + (42/100)x = 255
(60x + 42x)/ 100 = 255
(102x/100) = 255
X = 255*(100/102) = 250
54 % of the number = 250*(54/100) = 135
4) Answer: b)
The ratio of present ages of P and Q = 1: 3 (x, 3x)