Dear Aspirants, Here we have given the Important SSC Exam 2018 Practice Test Papers. Candidates those who are preparing for SSC 2018 can practice these questions to get more confidence to Crack SSC 2018 Examination.
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SSC CGL EXAMS 2018 | Quantitative Aptitude Questions (Day-20)
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Â Click here to view Quantitative AptitudeÂ Questions in Hindi
1)Â ABCD is a trapezium, such that AB, DC is parallel and BC is perpendicular to them. IfÂ
a) 6 cm
b) 4 cm
c) 3 cm
d) 5 cm
2) A conical tent of given capacity has to be constructed. The ratio of the height to the radius of the base for the minimum amount of canvas required for the tent is:
a) 1: 2
b) 1 : âˆš2
c) 2 : 1
d) âˆš2 : 1
3) If a group of children each boy gave a gift to each other. If total 10302 gifts were distributed, then find the number of boys?
a) 102
b) 104
c) 101
d) 170
4) Find the volume of the metal of a hollow spherical shell whose thickness is 0.01 in and internal radius is 5 in
a) 2Ï€
b) 3 Ï€
c) 4 Ï€
d) Ï€/3
5) On a particular day of a trade fair, 35,000 visitors had visited the fair. The amount collected at the entrance counter was Rs. 9, 50,000. The entrance fee was at the rate of Rs. 20 for a child. If 10% of the visitors had used free passes, the number of children who visited the fair is
a) 15,500
b) 31,500
c) 12,500
d) 16,000
6) If A is Arithmetic mean (AM) and H is Harmonic Mean (HM) between two quantities a and b, then, Â Â will be equal to
a) A/H
b) H/A
c) A+H/A â€“ H
d) a â€“ b/ A â€“ H
7) The price of diamond is proportional to the square of its weight. If the price of a diamond weighing 5 carats is Rs.225, then find the price of another diamond weighing 9 carats.
a) 929
b) 729
c) 125
d) 624
8) PQRS is a square whose side is 44 cm each, taking PQ and PS as axes, the equation of the circle circumscribing the square is
a) x^{2} + y^{2} = 22(x + y)
b) x^{2} + y^{2} = 11 (x + y)
c) x^{2} + y^{2} = 44 (x + y)
d) x^{2} + y^{2} = 4(x + y)
9) What is the remainder ofÂ 7^{3892}/13 ?
a) 0
b) 1
c) 2
d) 7
10) If LCM of two natural number x and y is 1440 then how many such pairs exist?
a) 80
b) 83
c) 60
d) 165
Answers :
1) Answer: d)
Tan 45^{0} = DN/AN
1 = DN/AN
AN = DN = 2 cm
AB = AN + BN
AB = 2 + 3 = 5 cm
2) Answer:Â d)
Curved surface area of cone = Ï€rl
l = âˆš(h^{2} + r^{2})
After substituting the value given in options to get two answer
âˆ´ The lease value is âˆš3Ï€, when h = âˆš2 and r = 1
3) Answer: a)
Let number of boys = x
Number of gifts given = x â€“ 1
X (x â€“ 1) = 10302
X^{2} â€“ x â€“ 10302 = 0
Solving this equation
(x â€“ 102)(x + 101) = 0
X = 102
4) Answer:Â d)
5) Answer: a)
Total number of visitors on a particular day of the trade fair = 35000
The number of visitors who paid the entrance fee = 90% of 35000
= (90/100) * 35000 = 31500
Now, let the number of children who visited the fair be x.
40 (31500 â€“ x) + 20x = 950000
1260000 â€“ 40x + 20x = 950000
1260000 â€“ 20x = 950000
20x = 310000
x = 15500
6) Answer:Â a)
Given, A =(a+b)/2
H = 2ab/ (a+b)
7) Answer: b)
Price of Diamond = Weight^{2}
According to the question, 5^{2}/ 9^{2} = 225/x
X = (9 * 9 * 225) / (5 * 5) = 729
8) Answer: c)
Center of circle = (22, 22)
By general equation of circle
x^{2} + y^{2} â€” 44x â€“ 44y = 0
x^{2} + y^{2} = 44 (x + y)
9) Answer: b)
Here we have divisor as 13 and we have to find the Eulerâ€™s Totient of 13.
13 (d) = 13 Ã— 1 â€“ 1/13 = 12, Here 7 is co-prime to 13 hence we can apply Eulerâ€™s theorem, From Eulerâ€™s theorem remainder of Â has remainder 1.
10) Answer: b)
1440 = 2 Ã— 720
= 2 Ã— 2 Ã— 2 Ã— 2 Ã— 2 Â Ã— 3 Ã— 3 Ã— 5
= 2^{5} Ã— 3^{2} Ã— 5^{1}
Then numbers of such pairs areâ€”
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