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# Maths Questions for DSSSB Exam :5th June 2018 (Solutions)

Q1. Aman can finish a piece of work by himself in 42 days. Mohit, who is 1/5 times more efficient as Aman, requires X days to finish the work by working all by himself. What is the value of X?
(a)39 days
(b)40 days
(c)35 days
(d)42 days
Q2. The daily work of 2 men is equal to that of 3 women or that of 4 youngsters. By employing 14 men, 12 women, and 12 youngsters a certain work can be finished in 24 days. If it is required to finish it in 14 days and as an additional labour, only men are available, how many of them will be required?
(a)18 men
(b)20 men
(c)48 men
(d)28 men
Q3. Equal amounts of each Rs. 43,892 is lend to two persons for 3 years. One at the rate of 30% S.I. and second at the rate of 30% C.I. annually. By how much percent the C.I. is greater than the simple interest received in this 3 years duration ?
(a)33%
(b)35%
(c)37%
(d)30%
Q4. A mixture of a certain quantity of milk with 16 litres of water is worth Rs 3 per litre. If pure milk be worth Rs 7 per litre how much milk is there in the mixture ?
(a) 10 litres
(b) 12 litres
(c) 14 litres
(d) 16 litres
Q5. Vineet calculates his profit percentage on the selling price whereas Roshan calculates his profit on the cost price. They find that the difference of their profits is Rs. 275. If the selling price of both of them are the same, and Vineet gets 25% profit and Roshan gets 15% profit, then find their selling price.
(a) Rs. 2350
(b) Rs. 2300
(c) Rs. 2100
(d) RS. 2250
Q6.A sum of Rs. 6,192 is distributed among A, B and C, such that A receives 25% more than B and B receives 25% less than C. What is C’s share in the amount?
(a) Rs. 2,072
(b) Rs. 2,304
(c) Rs. 2,620
(d) Rs. 2,258
Q7.Ravi ate in a restaurant and got a membership discount of 30% on the original bill amount but he had to pay 10% as service tax and 8% service charge on the discounted bill amount. If Ravi paid Rs 4,743 which included a tip of Rs 200, how much money did he give as service charge?
(a) Rs 324
(b) Rs 314
(c) RS 296
(d) Rs 308
Q8. A jobber buys an article at Rs 24. He then wishes to sell the article at a gain of 33 1/3% of his cost after allowing a 20% discount on his marked price. At what price (in Rs) should the article be marked?
(a) Rs 30.00
(b) Rs 33.60
(c) Rs 40.00
(d) Rs 42.00
Q9. The ratio of the capitals lent for two years under CI annually and for four year under SI is 6 : 5 given that the rate of interest for both is same. When the interest obtained is same, then the value of the rate of interest is
(a) 145%
(b) 122.22%
(c) 135%
(d) 133.33%
Q10.A jar has 60 litres of milk. From the jar, 12 litres of milk was taken out and replaced by an equal amount of water. If 12 litres of the newly formed mixture is taken out of the jar, what is the final quantity of milk left in the jar ?
(a) 38.4 litres
(b) 40 litres
(c) 36 litres
(d) 28.6 litres

Solutions:
S1. Ans.(c)
Sol.
Efficiency Mohit : Aman =1+1/5:1=6∶5
Given
5→42 days
∴  6→(42×5)/6=35 days=x days
S2. Ans.(b)
Sol.
Hence
2M=3W=4Y
∴ (14M + 12W + 12Y) = 14 + 8 + 6 = 28 Men
Total Unit = 28 × 24
∴ 28 × 24 = x ×24
x=48
Total no. of men required for additional labour = 48 – 28 = 20 men
S4. Ans.(b)
Sol.
Let the total quantity of mixture be x ℓ.
∴ 3x=7(x-16) or x=28l
∴ quantity of milk = 12ℓ
S5. Ans.(b)
Sol.
Let selling price = x
C.P. for Vineet =((100-25))/100 x=0.75x
C.P. for Roshan =1/1.15 x
[x-0.75x]-[x-1/1.15 x]=275
x=2300
S6. Ans.(b)
Sol.
Let C’s share = Rs. x
∴ B’s share=75/100×x=3x/4
A’s share=5/4×3x/4=15x/16
∴15x/16+3x/4+x=6,192
⇒ x = Rs. 2,304
S7. Ans.(d)
Sol.
Let the original bill was Rs. P
∴7P/10+7P/10×18/100=4743-200
⇒(7×118P)/1000=4543
⇒P=5500
∴ Service charge paid by him=7/10×5500×8/100
=Rs.308
S8. Ans.(c)
Sol.
Let marked price = Rs. x
∴ 24×400/300=x×80/100
⇒ x = Rs. 40
S10. Ans.(a)
Sol.
Ratio of milk and water after 1st operation = 48 : 12 = 4 : 1
Final quantity of milk=(60 –12)×4/5
=38.4 l