Dear Aspirants, you can find the Quantitative Aptitude questions with detailed explanations for the SSC exams. Nowadays the competitive level of the exam has been increasing consistently. Due to the great demand for the government job, the level of the toughness reached greater. Candidates have to enhance the preparation process in order to drive in the right path. It doesn’t need to clear the prescribed cutoff. You must have to score good marks more than the cut off marks to get into the final provisional list. Here we have updating the Quantitative Aptitude questions with detailed explanations on a daily basis. You can practice with us and measure your level of preparation. According to that you can sculpt yourself in a proper way. SSC aspirants kindly make use of it and grab your success in your career.
1) How many two digit numbers are there which ends in 7 and are divisible by 3?
(a) 2
(b) 3
(c) 4
(d) 5
2) If 1652 = 27225, then what is the value of √272.25+√2.7225+ √0.027225?
(a) 12.25
(b) 34.65
(c) 19.8
(d) 18.315
3) What is the unit’s place of 29136?
(a) 1
(b) 3
(c) 7
(d) 9
4) What is the value of √(37+20√3) -√(61+28√3) ?
(a) –1
(b) 1
(c) 2
(d) –2
5) Which of the following relation(s) is/are false?
I. (27)1/3 > (13)1/2 < (47)1/6
II. (23)1/3 < (49)1/2 < (52)1/6
III. (53) 1/6 < (41)1/3 < (37)1/2
(a) Only III
(b) Both I and II
(c) II and III only
(d) All relations are false
6) P, Q and R together can complete a work in 36 days. If the ratio of efficiency of P, Q and R is 3 : 2 : 1 respectively, then in how many days R alone cancomplete the same work?
(a) 108
(b) 216
(c) 72
(d) 144
7) Two pipes A and B can fill an empty tank in 10 hours and 15 hours respectively. Pipe C alone can empty the completely filled tank in 12 hours. First bothpipes A and B are opened and after 5 hours pipe C is also opened. What is the total time (in hours) in which the tank will be filled?
(a) 7
(b) 5
(c) 9
(d) 8
8) If two successive discounts of 40% and 20% are given, then what is the net discount?
(a) 56
(b) 68
(c) 52
(d) 60
9) An article is sold at a discount of 35%. If the selling price of the article is Rs 2275, then what is the marked price (in Rs) of the article?
(a) 3250
(b) 3300
(c) 3000
(d) 3500
10) P, Q and R invest in a business in the ratio of 1/2:1/3:1/12 respectively. Out of a total profit of Rs. 121000, what will be the share of Q?
(a) Rs. 44000
(b) Rs. 50000
(c) Rs.48000
(d) Rs.46500
Answers:
1) Answer: B
Only 27, 57, 87 are two digit numbers which ends in 7 and are divisible by 3.
2) Answer: D
√272.25+√2.7225+√0.027225
= 16.5 + 1.65 + 0.165
= 18.315
3) Answer: A
The powers of 9 operate as follows
9¹ = 9
9² = 81
9³ = 729 and so on.
Hence, the power cycle of 9 also contains only 2 numbers 9 & 1, which appear in case of odd and even powers respectively.
So broadly these can be remembered in even and odd only, i.e. 4 odd = 4 and 4even = 6. Likewise
9odd=9 and 9 even =1
So,
29(136) = 9 even
So unit’s place = 1
4) Answer: D
√((37+20√3) )–√(61+28√3)
√((5+2√3)2 )–√((7+2√3) 2)
= 5 + 2 √3 – 7 – 2√3
= – 2
5) Answer: B
I. (27)(1/3) > (13)(1/2) < (47)(1/6)
or (27)4 > (13)6 < (47)2
which is wrong.
II. (23)1/3 < (49)1/2 < (52)1/6
Which is also wrong.
III. (53) 1/6 < (41)1/3< (37)1/2
or (53) < (41)2 < (37)3
which is right.
So option (b) is correct.
6) Answer: B
P + Q + R – 36 days.
Efficiency of P + Q + R = 6
R alone can complete the work in =(36×6)/1= 216
7) Answer: A
(A + B) for 5 hr = 10 × 5
= 50 unit
Remain = 10 unit
A + B – C= 5/hr
Total time in which tank will be filled
=10/5+5 hr
= 7 hr
8) Answer: C
Discount= a+b- ab/100
= 40+20-(40×20)/100
= 52%
9) Answer: D
Let M.P. = x
M.P.×((100 –Discount)/100)%=S.P.
x×((100 –35)/100)%=2275
x× 65/100=2275
x = 3500 Rs.
10) Answer: A
P : Q : R= 1/2 : 1/3 : 1/12
or 6 : 4 : 1
given 11R = 121000
1R = 11000
Q’s share = 4R
= 4 × 11000
= 44000
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