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# Maths Questions for DSSSB Exam : 9th May 2018 (Solutions)

Q1.Sharat sells some articles to Chandra at a profit of 20%. Chandra now sells this article to Mayank at a loss of 30% and Mayank sells this article at a profit of 20%. If CP of Chandra is Rs 150, then what is the SP of Mayank?
(a) Rs 105
(b) Rs 87.5
(c) Rs125
(d) Rs 126
Q2.One litre of water is evaporated from 6 litres of solution containing 4% of sugar. The percentage of sugar in the remaining solution is
(a) 1.4%
(b) 5.2%
(c) 4.8%
(d) 3.4%
Q3.After three successive raises, Aftab’s salary became equal to 378/125 of his initial salary. By what percentage was the salary raised the first time if the third rise was twice as high (in percentage) as the second rise and second rise was twice as high (in percentage) as the first rise?
(a) 10%
(b) 15%
(c) 20%
(d) 25%
Q4. Ram and Shyam appear for an interview for two vacancies in an organization for the same post. The probabilities of their selection are 1/6 and 2/5 respectively. What is the probability that at least one of them will be selected?
(a) 5/6
(b) 1/5
(c) 1/2
(d) 3/5
Q5.Two taps A and B can fill a vessel in 12 minutes and 15 minutes respectively, but a third tap C can empty the full tank in 60 minutes. A and B is kept open for 5 minutes in the beginning and then closed and then C is  opened. In what time will the vessel be emptied ?
(a) 30 min.
(b) 33 min.
(c) 15 min.
(d) 45 min.
Q6.Krishna sells his watch at a loss of 5%. If he had sold it for Rs 56.25 more he would have gained 10%. What will be his gain or loss percentage if he sells it for Rs 450?
(a) 10%
(b) 15%
(c) 20%
(d) 30%
Q7.A work can be finished by Arnold, Bill and Kennedy in 20 days, 24 days and 30 days respectively provided the working hours are 10 hours per day. If all of them are engaged to complete this work and they finished the work in 10 days, how many hours per day did they work?
(a) 7 hours
(b) 10 hours
(c) 8 hours
(d) 9 hours
Q8.Two distinct number are selected one after the other at random from the first six natural numbers. The probability that the sum will be divisible by 3 is:
(a) 1/3
(b) 2/3
(c) 1/2
(d) 4/5
Q9.Find the total numbers that can be made using the letters 0, 2, 4, 3, 5 which are greater than 6000 without repeating the digits.
(a) 92
(b) 104
(c) 96
(d) 98
Q10. How many ways the letters of the word ‘EXAMINEE’ can be arranged such that M and I never come together?
(a) 5880
(b) 5040
(c) 6720
(d) 5720
Solutions:
S1. Ans.(d)
Sol.
CP of  Chandra= Rs 150
CP of Mayank =150×70/100
= 105
SP of Mayank =120/100×105
= Rs 126
S2. Ans.(c)
Sol.
Initial quantity of sugar =4/100×6
= 0.24 li
∴ Required percentage =0.24/5×100
= 4.8%
S4. Ans.(c)
Sol. Required probability = 1-(1-1/6)×(1-2/5)=1-5/6×3/5=1-1/2=1/2
S5.Ans.(d)
Sol.
One minute work of both A and B together
=1/12+1/15
=9/60=3/20
∴ 5 minute work of (A + B) → 3/20×5
=3/4
∴ Time taken by C to empty the tank
=3/4×60
= 45 min
S6. Ans.(c)
Sol.
Let cost price = Rs x
∴110/100 x-95x/100=56.25
⇒ x = Rs 375
∴ Required profit =(450-375)/375×100
= 20%
S7. Ans.(c)
Sol.
Let they work together for x hours per day
∴(1/(20×10)+1/(24×10)+1/(30×10))×10x=1
⇒(6+5+4)x/120=1
⇒ x = 8 hours
S8. Ans.(a)
Sol.
First six natural numbers are 1, 2, 3, 4, 5, 6
Favourable cases = (1 & 2) or (1 & 5) or (2 & 1) or (5, 1) or (2 & 4)
or (4 & 2) or (3 & 6) or (6 & 3) or (4 & 5) or (5 & 4)
Number of favourable cases = 10
Total possible cases = 6 × 5 = 30
∴ Required probability
S9. Ans.(c)
Sol.
Total numbers greater than 6000
= 4 × 4 × 3 × 2 × 1
= 96
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