Dear Aspirants, Here we have given the Important SSC Exam 2018 Practice Test Papers. Candidates those who are preparing for SSC 2019 can practice these questions to get more confidence to Crack SSC 2019 Examination.
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SSC CGL EXAMS 2019 | Quantitative Aptitude Questions (Day-22)
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1) Find the unit digit of the following expression â€“ (102)^{102} Â (101)^{101} Â (107)^{107} Â Â (106)^{106} Â (105)^{105}
a) 0
b) 2
c) 6
d) 5
2) Four carpenters A, B, C & D are entrusted with office furniture work. A can do a job is 10 days, if B is 20% more efficient than A and C is 30% more efficient than B, and D is 10% more efficient that C, then C and D together can finish the job is approximately.
a) 3 days
b) 4 days
c) 5 days
d) 6 days
3) An old woman engaged a domestic help on the condition that she would pay him Rs. 120 and a gift after service of one year. He served only 6 months and received the gift and Rs. 50. Find the value of the gift.
a) Rs. 20
b) Rs. 10
c) Rs. 15
d) Rs. 30
4) The minimum value of 31 ^{3 sin x} + 31 ^{4 cos x}
a) 2 Ã— 31 ^{– }^{âˆš5/2}
b) 2^{– }^{âˆš5}
c) 31^{– }^{âˆš5}
d) 0
5) The smallest perfect square that is divisible by 11!!
a) 12006200
b) Cannot be determine
c) 12006225
d) 12600252
6) How many pairs of factors of number 120. Such that they are co-prime to each other?
a) 40
b) 20
c) 30
d) 32
7) PQR is a triangular park with PQ = PR= 160 meter. A clock tower is situated at the mid-point of QR. The angles of elevation of the top of the tower at P & Q are Cot^{â€“1} 13.2 and cosec^{â€“1}2.6 respectively. The height of the tower isâ€”
a) 50 meters
b) 30 meters
c) 60 meters
d) 40 meters
8) If a, b, c, d and e are positive real numbers such that a + b + c + d + e = 30, find the maximum value of a^{3} b^{3} c^{6} d^{2} e^{2}.
a) 2^{25}. 3^{24}
b) 2^{24}.3^{25}
c) (â€“6)^{24}
d) (6)^{25}
9) What is the reflection of the point (â€“ 5, 3) in the line x = â€“ 3?
a) (â€“2, 3)
b) (â€“1, 3)
c) (â€“ 1, â€“ 3)
d) â€“2, â€“ 3
10) Two sides of a triangle are âˆš5 â€“ 1 & âˆš5 + 1 units and their included angle is 60^{o}, Solve the triangle and find the value of â€˜aâ€™?
a) âˆš3
b) âˆš2
c) âˆš6
d) 2âˆš3
Answers :
1) Answer: a)
Unit digit of given values
2^{102} Ã— 1^{101} Ã— 7 ^{107} Ã— 6 ^{106} Ã— 5 ^{105}
= 2 ^{4}^{Ã—25 + 2}Â Â Ã— 1 Ã— 7 ^{4}^{Ã—26 + 3}Ã— 6 Ã— 5
= 6 Ã— 2 Ã— 2 Â Ã—Â 1Â Ã— 1 Ã— 7Â Ã— 7 Ã— 7 Ã— 30
= 24*243*30
= 4 * 3 * 30 = 0
2) Answer:Â a)
According to the conditions mentioned in the questions,
We find efficiency of each carpenter,
A =100%, B= 120%, C=120Ã—130/100=156%,D=156Ã—110/100=171.6%
Combined efficiency of C&D =327.6%
Now,
100%= 10days
1%= 10Ã—100days
327.6%=10Ã—100/327.6 days = 3.05days.â‰ˆ 3 days
3) Answer: a)
Let the value of the gift be Rs. x
Then, Payment for 1 yr = Rs. 120 + x
Payment for 6 months = (120 + x/12) * 6
= 120*6/12 + 6x/12 = 60 + x/2
After 6 months, the domestic help received 50 and gift,
Therefore, value of the gift
x = x/2 + 10
x/2 = 10
x = 20
4) Answer: a)
5) Answer: c)
11!! = 11Ã—9Ã—7Ã—5Ã—3Ã—1 [X!! = X (X â€“2) (X â€“ 4) â€¦..Â And so on]
= 111Ã—32Ã—71Ã—51Ã—31
Thus, the least perfect square which is divisible by 11!! Should be (111Â 32 71Â Â 51Â 31)Â (111Â 71Â Â 51Â 31)
= 10395Ã—1155 = 12006225.
6) Answer: d)
120 = 2^{3}Ã—3^{1}Ã—5^{1}
Here are of such pairs
= 1 + (p + q + r) + 2 (pq + qr + pr) + 4pqr
(p = 3, q = 1, r = 1)
= 1 + 5 + 2 (3 + 1 + 3) + 4Ã—3Ã—1Ã—1
= 6 + 14 + 12
= 32
7) Answer: d)
8) Answer: a)
9) Answer: b)
10) Answer: c)
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