SSC Quantitative Aptitude Practice Questions – (Day-1)
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SSC Quantitative Aptitude Practice Questions (Day-1)
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Question 1 of 15
1. Question
The average weight of A, B and C is x kg. A and C lost y kg each after dieting and B gains kg. After this their average weight decreases by 1 kg. Find y.
Correct
Answer: b)
Incorrect
Answer: b)
Question 2 of 15
2. Question
A vessel is full of refined oil. Â¼ of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 liters of refined oil is finally left in the vessel, what is the capacity of the vessel?
Correct
Answer: c)
Let the quantity of refined oil initially be Q.
Then we have Q Ã— Â¾ Ã— Â¾ Ã— Â¾ Ã— Â¾ = 10
QÃ— Â¾ Ã— Â¾ Ã— Â¾ Ã— Â¾ = 10
So, Q = 2560/81 liters
Incorrect
Answer: c)
Let the quantity of refined oil initially be Q.
Then we have Q Ã— Â¾ Ã— Â¾ Ã— Â¾ Ã— Â¾ = 10
QÃ— Â¾ Ã— Â¾ Ã— Â¾ Ã— Â¾ = 10
So, Q = 2560/81 liters
Question 3 of 15
3. Question
In an election of 3 candidates A, B and C, A gets 50% more votes than B. A also beats C by 18,000 votes. If it is known that B gets 5 percentage more votes than C, find the number of voters on the voting list (given 90%) of the voters on the voting list voted and no votes were illegal)
Correct
Answer:Â d)
The only values that fit this situation are C 25%, B 30%, and A 45%.
These are the percentage of votes polled. (Note: these values can be got either through trial and error or through solving c + c + 5 + 1.5(c + 5) = 100%
Then, 20%is 18000 (the difference between A & C.)
Hence, 90000 people must have voted and 100000 people must have been on the voterâ€™s list.
Incorrect
Answer:Â d)
The only values that fit this situation are C 25%, B 30%, and A 45%.
These are the percentage of votes polled. (Note: these values can be got either through trial and error or through solving c + c + 5 + 1.5(c + 5) = 100%
Then, 20%is 18000 (the difference between A & C.)
Hence, 90000 people must have voted and 100000 people must have been on the voterâ€™s list.
Question 4 of 15
4. Question
A trader marked his goods at 20% above the cost price. He sold half of the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain isÂ Â Â Â
Correct
Answer:Â a)
Let C.P. of whole stock = Rs. 100,
Then, marked price of whole stock = Rs.120.
M.P. of 1/2 stock = Rs 60, M.P. of 1/4 stock = Rs 30/
So, Total S.P. = Rs [60 + (80% of 30) + (60% of 30)]
Rs (60 + 24 + 18) = Rs 102
Hence, gain% = (102 â€“ 100%) = 2%
= (102 â€“ 100) % = 2%
Incorrect
Answer:Â a)
Let C.P. of whole stock = Rs. 100,
Then, marked price of whole stock = Rs.120.
M.P. of 1/2 stock = Rs 60, M.P. of 1/4 stock = Rs 30/
So, Total S.P. = Rs [60 + (80% of 30) + (60% of 30)]
Rs (60 + 24 + 18) = Rs 102
Hence, gain% = (102 â€“ 100%) = 2%
= (102 â€“ 100) % = 2%
Question 5 of 15
5. Question
A trader wants 10% profit on the selling price of a product whereas his expenses amount to 15% on sales. What should be his rate of mark up on an article costing Rs.9?
Correct
Answer: d)
Let the SP of the article be Rs. x
Expenses= 15% of x =Â Â Â Â Â Â Â Â Â Â Â Rs 0.15x
Profit = 10% of x = Rs 0.10x
CP = Rs 9 (given)
Therefore, 9 + 0.15x + 0.1xÂ Â xÂ Â 12
So, % increase for marked price
= (12 – 9)/ 9 * 100 = 100/ 3 %
Incorrect
Answer: d)
Let the SP of the article be Rs. x
Expenses= 15% of x =Â Â Â Â Â Â Â Â Â Â Â Rs 0.15x
Profit = 10% of x = Rs 0.10x
CP = Rs 9 (given)
Therefore, 9 + 0.15x + 0.1xÂ Â xÂ Â 12
So, % increase for marked price
= (12 – 9)/ 9 * 100 = 100/ 3 %
Question 6 of 15
6. Question
A sum was put at simple interest at a certain rate for 2 years. Had it been put at 1% higher rate, it would have fetched Rs 24 more. What is the sum?
Correct
Answer: a)
Incorrect
Answer: a)
Question 7 of 15
7. Question
Rs 1104 is divided between 3 men, 4 women and 6 boys, so that the share of a man, a woman and a boy are in the proportion of 3 : 2 : 1. How much does each boy get?
Correct
Answer: a)
Let each boy gets x, so the women gets 2x and a man gets 3x.
Now, (3 Ã— 3x) + (4 Ã— 2x) + (6 Ã— x) = 1104
= 23x = 1104, = x = 48
So, each boy gets Rs 48
Incorrect
Answer: a)
Let each boy gets x, so the women gets 2x and a man gets 3x.
Now, (3 Ã— 3x) + (4 Ã— 2x) + (6 Ã— x) = 1104
= 23x = 1104, = x = 48
So, each boy gets Rs 48
Question 8 of 15
8. Question
â€˜Xâ€™ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is:
Correct
Answer: b)
X men Ã— 30 days = (x + 6 men) Ã— (30 â€“ 10) days
3X = 2X + 12
X = 12 men
Incorrect
Answer: b)
X men Ã— 30 days = (x + 6 men) Ã— (30 â€“ 10) days
3X = 2X + 12
X = 12 men
Question 9 of 15
9. Question
Wheels of diameter 7 cm and 14 cm start rolling simultaneously from X and Y which are 1980 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is:
Correct
Answer:Â c)
Circumference of the wheel starting from Y
Let both the wheels make n revolution in one second.
Distance covered by both the wheels in 1 sec
= 22n + 44n = 66 n cm
= Distance covered by both the wheels in 10 sec
= 660n cm
Now, 660n = 1980, So, n = 3
Speed of the smaller wheel
= 22 n/cm/s = 66 cm/s
Incorrect
Answer:Â c)
Circumference of the wheel starting from Y
Let both the wheels make n revolution in one second.
Distance covered by both the wheels in 1 sec
= 22n + 44n = 66 n cm
= Distance covered by both the wheels in 10 sec
= 660n cm
Now, 660n = 1980, So, n = 3
Speed of the smaller wheel
= 22 n/cm/s = 66 cm/s
Question 10 of 15
10. Question
A sum of Rs 8000 borrowed at 5% p.a. compound interest and paid back in 3 equal annual installments. What is the amount of each installment?
Correct
Answer: a)Â Â Â Â
Let the repayment annually be X
Then:
8000 + 3 years interest on 8000
(On compound interest of 5%)
= X + 2 years interest on X + X +
1 year interest on X + X => X = 2937.67
Incorrect
Answer: a)Â Â Â Â
Let the repayment annually be X
Then:
8000 + 3 years interest on 8000
(On compound interest of 5%)
= X + 2 years interest on X + X +
1 year interest on X + X => X = 2937.67
Question 11 of 15
11. Question
Seats of Physics, Chemistry and Mathematics in a school are in the ratio 4 : 5 : 6. There is a proposal to increase these seats by 75 in each department. What are the total numbers of seats in the school finally?
Correct
Answer:Â d)
Let the number of seats in Physics, Chemistry and Mathematics be 4x, 5x and 6x.
New ratio of seats
= (4x + 75) : (5x + 75) : (6x + 75)
So, the given data is insufficient.
Incorrect
Answer:Â d)
Let the number of seats in Physics, Chemistry and Mathematics be 4x, 5x and 6x.
New ratio of seats
= (4x + 75) : (5x + 75) : (6x + 75)
So, the given data is insufficient.
Question 12 of 15
12. Question
If pq (p + q) = 1, then the value of 1/ P^{3}q^{3 }â€“ p^{3} â€“ q^{3} is equal to
Correct
Answer: c)
Incorrect
Answer: c)
Question 13 of 15
13. Question
Let x, y be two positive numbers such that x + y = 1. Then the minimum value of
1) The average weight of A, B and C is x kg. A and C lost y kg each after dieting and B gains kg. After this their average weight decreases by 1 kg. Find y.Â Â Â Â
a) 1 Kg
b) 2 kg
c) 3 kg
d) Cannot be determined
2) A vessel is full of refined oil. Â¼ of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 liters of refined oil is finally left in the vessel, what is the capacity of the vessel?
a) 33 liters
b) 2460/ 81 liters
c) 2560/81 liters
d) 30 liters
3) In an election of 3 candidates A, B and C, A gets 50% more votes than B. A also beats C by 18,000 votes. If it is known that B gets 5 percentage more votes than C, find the number of voters on the voting list (given 90%) of the voters on the voting list voted and no votes were illegal)
a) 72,000
b) 81,000
c) 90,000
d) 1, 00,000
4) A trader marked his goods at 20% above the cost price. He sold half of the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain isÂ Â Â Â
a) 2%
b) 4.5%
c) 13.5%
d) 15%
5) A trader wants 10% profit on the selling price of a product whereas his expenses amount to 15% on sales. What should be his rate of mark up on an article costing Rs.9?
a) 20%
b) 66 2/3%
c) 30%
d) 100/3%
6) A sum was put at simple interest at a certain rate for 2 years. Had it been put at 1% higher rate, it would have fetched Rs 24 more. What is the sum?
a) 1200
b) 1500
c) 1800
d) 2000
7) Rs 1104 is divided between 3 men, 4 women and 6 boys, so that the share of a man, a woman and a boy are in the proportion of 3 : 2 : 1. How much does each boy get?
a) Rs. 48
b) Rs. 64
c) Rs. 96
d) Cannot be determine
8) â€˜Xâ€™ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is:
a) 24 men
b) 12 men
c) 36 men
d) 48 men
9) Wheels of diameter 7 cm and 14 cm start rolling simultaneously from X and Y which are 1980 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is:
a) 22cm/s
b) 44 cm/s
c) 66 cm/s
d) 132 cm/s
10) A sum of Rs 8000 borrowed at 5% p.a. compound interest and paid back in 3 equal annual installments. What is the amount of each installment?
a) Rs 2937.67
b) Rs 3000
c) Rs 2037.67
d) Rs 2739.76
11) Seats of Physics, Chemistry and Mathematics in a school are in the ratio 4 : 5 : 6. There is a proposal to increase these seats by 75 in each department. What are the total numbers of seats in the school finally?
a) 600
b) 750
c) 900
d) Cannot be determine
12) If pq (p + q) = 1, then the value of 1/ P^{3}q^{3 }â€“ p^{3} â€“ q^{3} is equal to
a) 1
b) 2
c) 3
d) 4
13) Let x, y be two positive numbers such that x + y = 1. Then the minimum value of
a) 12
b) 12.5
c) 20
d) 13.3
14) If x + 1/x = c + 1/c, then the value of x
a) c, 1/c
b) c, c^{2}
c) c, 2c
d) 0, 1
15) If SecA + tanA = a, cosA= ?
a) (a^{2} + 1)/2a
b) 2a / (a^{2} + 1)
c) (a^{2} â€“ 1)/2a
d) 2a/(a^{2} â€“ 1)
Answers :
1) Answer: b)
2) Answer: c)
Let the quantity of refined oil initially be Q.
Then we have Q Ã— Â¾ Ã— Â¾ Ã— Â¾ Ã— Â¾ = 10
QÃ— Â¾ Ã— Â¾ Ã— Â¾ Ã— Â¾ = 10
So, Q = 2560/81 liters
3) Answer:Â d)
The only values that fit this situation are C 25%, B 30%, and A 45%.
These are the percentage of votes polled. (Note: these values can be got either through trial and error or through solving c + c + 5 + 1.5(c + 5) = 100%
Then, 20%is 18000 (the difference between A & C.)
Hence, 90000 people must have voted and 100000 people must have been on the voterâ€™s list.
4) Answer:Â a)
Let C.P. of whole stock = Rs. 100,
Then, marked price of whole stock = Rs.120.
M.P. of 1/2 stock = Rs 60, M.P. of 1/4 stock = Rs 30/
So, Total S.P. = Rs [60 + (80% of 30) + (60% of 30)]
Rs (60 + 24 + 18) = Rs 102
Hence, gain% = (102 â€“ 100%) = 2%
= (102 â€“ 100) % = 2%
5) Answer: d)
Let the SP of the article be Rs. x
Expenses= 15% of x =Â Â Â Â Â Â Â Â Â Â Â Rs 0.15x
Profit = 10% of x = Rs 0.10x
CP = Rs 9 (given)
Therefore, 9 + 0.15x + 0.1xÂ Â xÂ Â 12
So, % increase for marked price
= (12 – 9)/ 9 * 100 = 100/ 3 %
6) Answer: a)
7) Answer: a)
Let each boy gets x, so the women gets 2x and a man gets 3x.
Now, (3 Ã— 3x) + (4 Ã— 2x) + (6 Ã— x) = 1104
= 23x = 1104, = x = 48
So, each boy gets Rs 48
8) Answer: b)
X men Ã— 30 days = (x + 6 men) Ã— (30 â€“ 10) days
3X = 2X + 12
X = 12 men
9) Answer:Â c)
Circumference of the wheel starting from Y
Let both the wheels make n revolution in one second.
Distance covered by both the wheels in 1 sec
= 22n + 44n = 66 n cm
= Distance covered by both the wheels in 10 sec
= 660n cm
Now, 660n = 1980, So, n = 3
Speed of the smaller wheel
= 22 n/cm/s = 66 cm/s
10) Answer: a)Â Â Â Â
Let the repayment annually be X
Then:
8000 + 3 years interest on 8000
(On compound interest of 5%)
= X + 2 years interest on X + X +
1 year interest on X + X => X = 2937.67
11) Answer:Â d)
Let the number of seats in Physics, Chemistry and Mathematics be 4x, 5x and 6x.
New ratio of seats
= (4x + 75) : (5x + 75) : (6x + 75)
So, the given data is insufficient.
12) Answer: c)
13) Answer: b)
14) Answer: a)
15) Answer: b)
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