SSC CGL EXAMS 2018 | Quantitative Aptitude Practice Questions (Day-6)
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SSC CGL EXAMS 2018 | Quantitative Aptitude Practice Questions (Day-6)
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Question 1 of 15
1. Question
The average of a batsman for 40 innings is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, his average drops by 2 runs. Find his higher score.
Correct
Answer :c)
Incorrect
Answer :c)
Question 2 of 15
2. Question
A butler stores wine from a butt of sherry which contained 30% of spirit and he replaced what he had stolen by wine containing only 12% of spirit. The butt was then 18% strong only. How much of the butt did he steal?
Correct
Answer: c)
By the alligation rule, we find that wine containing 30% of spirit and wine containing 12% of spirit should be mixed in the ratio 1: 2 to produce a mixture containing 18% of spirit.
Ratio = 6:12 = 1:2
This means that 1/3^{rd} of the butt of sherry was left, i.e. to say, the butler drew out 2/3^{rd} of the butt.\2/3^{rd} of the butt was stolen.
Incorrect
Answer: c)
By the alligation rule, we find that wine containing 30% of spirit and wine containing 12% of spirit should be mixed in the ratio 1: 2 to produce a mixture containing 18% of spirit.
Ratio = 6:12 = 1:2
This means that 1/3^{rd} of the butt of sherry was left, i.e. to say, the butler drew out 2/3^{rd} of the butt.\2/3^{rd} of the butt was stolen.
Question 3 of 15
3. Question
Madan pays income tax at the rate of 10%. If his income increased by 10% and his tax rate increases to 15%. His net income would increase by Rs.350. What is Madanâ€™s income?
Correct
Answer: b)
Incorrect
Answer: b)
Question 4 of 15
4. Question
A shopkeeper purchases a packet of 50 pens at Rs.10 per pen. He sells a part of the packet at a profit of 30%. On the remaining part, he incurs a loss of 10%. If his overall profit on the whole packet is 10%, the number of pens he sold at profit is:
Correct
Answer: a)
Incorrect
Answer: a)
Question 5 of 15
5. Question
Two equal sums of money were invested, one at 4% and the other at 4.5%. At the end of 7 years, the simple interest received from the latter exceeded to that received from the former by Rs 31.50. Each sum was
Correct
Answer: d)
Incorrect
Answer: d)
Question 6 of 15
6. Question
If a : b = c : d and e : f = g : h, then (ae = bf) : (ae â€“ bf) = ?
Correct
Answer: b)
Incorrect
Answer: b)
Question 7 of 15
7. Question
4 pipes each of 3 cm diameter are to be replaced by a single pipe discharging the same quantity of water. What should be the diameter of the single pipe, if the speed of water is the same?
Correct
Answer: c)
Let h be the length of water column discharged in 1 hour or 1 minute
Volume discharged by the 4 pipes
= Volume discharged by the single pipe.
= 4 Ã— p Ã— (1.5)Â² Ã— h = p Ã— (r)Â² Ã— h
\ rÂ² = 9
\ r = 3, Diameter = 6 cm
Incorrect
Answer: c)
Let h be the length of water column discharged in 1 hour or 1 minute
Volume discharged by the 4 pipes
= Volume discharged by the single pipe.
= 4 Ã— p Ã— (1.5)Â² Ã— h = p Ã— (r)Â² Ã— h
\ rÂ² = 9
\ r = 3, Diameter = 6 cm
Question 8 of 15
8. Question
A man sitting in a train travelling at the rate of 50 km/hr observes that it takes 9 sec for a goods train travelling in the opposite direction to pass him. If the goods train is 187.5 m long, find its speed.
Correct
Answer: b)
Incorrect
Answer: b)
Question 9 of 15
9. Question
If a + b = 1, then a^{4} + b^{4} â€“ aÂ³ – bÂ³ – 2aÂ²bÂ² + ab is equal to
Correct
Answer: c)
Incorrect
Answer: c)
Question 10 of 15
10. Question
If is a perfect square where a and b are positive real numbers, then the value of a and b
Correct
Answer: b)
Incorrect
Answer: b)
Question 11 of 15
11. Question
Correct
Answer: a)
Incorrect
Answer: a)
Question 12 of 15
12. Question
If cos Î¸Â = (x^{2} â€“ y^{2})/(x^{2} + y^{2}), then the value of cotÎ¸Â is [if 0â‰¤Î¸â‰¤90Â°Â ]
Correct
Answer: d)
Incorrect
Answer: d)
Question 13 of 15
13. Question
If x = cosecqÂ â€“ sinqÂ and y = secqÂ â€“ cosq, then the relation between x and y is
Correct
Answer: b)
x = cosecqÂ â€“ sinq
y=secqÂ â€“ cosq
Put qÂ = 45Âº
Incorrect
Answer: b)
x = cosecqÂ â€“ sinq
y=secqÂ â€“ cosq
Put qÂ = 45Âº
Question 14 of 15
14. Question
The set of values of p for which the roots of the equation 3xÂ² + 2x + p(p â€“ 1) = 0 are the opposite sign is
Correct
Answer: b)
p (p â€“ 1)/3 < 0 (product of roots should be negative)
p(p â€“ 1) < 0
pÂ² – p < 0
This happens for 0 < p < 1
Incorrect
Answer: b)
p (p â€“ 1)/3 < 0 (product of roots should be negative)
p(p â€“ 1) < 0
pÂ² – p < 0
This happens for 0 < p < 1
Question 15 of 15
15. Question
What is the slope of the line perpendicular to the line
1) The average of a batsman for 40 innings is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, his average drops by 2 runs. Find his higher score.
a) 172
b) 173
c) 174
d) 175
2) A butler stores wine from a butt of sherry which contained 30% of spirit and he replaced what he had stolen by wine containing only 12% of spirit. The butt was then 18% strong only. How much of the butt did he steal?
a) 1/3
b) 2/5
c) 2/3
d) 4/7
3) Madan pays income tax at the rate of 10%. If his income increased by 10% and his tax rate increases to 15%. His net income would increase by Rs.350. What is Madanâ€™s income?
a) 8,000
b) 10,000
c) 12,000
d) 14,000
4) A shopkeeper purchases a packet of 50 pens at Rs.10 per pen. He sells a part of the packet at a profit of 30%. On the remaining part, he incurs a loss of 10%. If his overall profit on the whole packet is 10%, the number of pens he sold at profit is:
a) 25
b) 30
c) 20
d) 15
5) Two equal sums of money were invested, one at 4% and the other at 4.5%. At the end of 7 years, the simple interest received from the latter exceeded to that received from the former by Rs 31.50. Each sum was
a) Rs 1200
b) Rs 600
c) Rs 750
d) Rs 900
6) If a : b = c : d and e : f = g : h, then (ae = bf) : (ae â€“ bf) = ?
7) 4 pipes each of 3 cm diameter are to be replaced by a single pipe discharging the same quantity of water. What should be the diameter of the single pipe, if the speed of water is the same?
a) 2 cm
b) 4 cm
c) 6 cm
d) 8 cm
8) A man sitting in a train travelling at the rate of 50 km/hr observes that it takes 9 sec for a goods train travelling in the opposite direction to pass him. If the goods train is 187.5 m long, find its speed.
a) 40 km/hr
b) 25 km/hr
c) 35 km/hr
d) 36 km/hr
9) If a + b = 1, then a^{4} + b^{4} â€“ aÂ³ – bÂ³ – 2aÂ²bÂ² + ab is equal to
a) 1
b) 2
c) 0
d) 4
10) If is a perfect square where a and b are positive real numbers, then the value of a and b
a) a = 5, b = 6
b) a = 6, b = 7
c) a = 7, b = 7
d) a = 7, b = 8
11)
12) If cos Î¸Â = (x^{2} â€“ y^{2})/(x^{2} + y^{2}), then the value of cotÎ¸Â is [if 0â‰¤Î¸â‰¤90Â°Â ]
13) If x = cosecqÂ â€“ sinqÂ and y = secqÂ â€“ cosq, then the relation between x and y is
a) xÂ² + yÂ² + 3 = 1
b) xÂ²yÂ²(xÂ²+yÂ²+3) = 1
c) xÂ²(xÂ² + yÂ² – 5) = 1
d) yÂ²(xÂ² + yÂ² – 5) = 1
14) The set of values of p for which the roots of the equation 3xÂ² + 2x + p(p â€“ 1) = 0 are the opposite sign is
15) What is the slope of the line perpendicular to the line
Answers :
1) Answer :c)
2) Answer: c)
By the alligation rule, we find that wine containing 30% of spirit and wine containing 12% of spirit should be mixed in the ratio 1: 2 to produce a mixture containing 18% of spirit.
Ratio = 6:12 = 1:2
This means that 1/3^{rd} of the butt of sherry was left, i.e. to say, the butler drew out 2/3^{rd} of the butt. 2/3^{rd} of the butt was stolen.
3) Answer: b)
4) Answer: a)
5) Answer: d)
6) Answer: b)
7) Answer: c)
Let h be the length of water column discharged in 1 hour or 1 minute
Volume discharged by the 4 pipes
= Volume discharged by the single pipe.
= 4 Ã— p Ã— (1.5)Â² Ã— h = p Ã— (r)Â² Ã— h
rÂ² = 9
r = 3, Diameter = 6 cm
8) Answer: b)
9) Answer: c)
10) Answer: b)
11) Answer: a)
12) Answer: d)
13) Answer: b)
x = cosecqÂ â€“ sinq
y=secqÂ â€“ cosq
Put qÂ = 45Âº
14) Answer: b)
p (p â€“ 1)/3 < 0 (product of roots should be negative)