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# Maths Questions for DSSSB Exam : 10th April 2018 (Solutions)

Q1.Uday borrowed a sum of money from Jayant at S.I.  at the rate of 8% per annum for the first 4 years, 10% per annum for the next 6 years and 12% per annum for the period beyond 10 years. If he pays a total of Rs. 12,160 only as interest at the end of 15 years, how much money did he borrow?
(a) Rs. 12000
(b) Rs. 10000
(c) Rs. 8000
(d) Rs. 9000
Q2.A father divides his property between his two sons A and B. A invests his amount at C.I. of 8% per annum whereas B invests the amount at S.I. at 10% per annum . At the end of 2 years, the interest received by B is Rs. 1336 more than the interest received by A. Find the share of A in the father’s property of Rs. 25,000.
(a) Rs. 12,000
(b) Rs. 13,000
(c) Rs. 12,500
(d) Rs. 10,000
Q3.The prime cost of an article is three times the value of the raw material used. The cost of raw material increases in the ratio of 5 : 12 and manufacturing expenses in the ratio 4 : 5. The article, which originally cost Rs. 6, will now cost.
(a) Rs. 10
(b) Rs. 17
(c) Rs. 20.50
(d) Rs. 9.8
Q4.How many numbers of five digits from the digits 0, 2, 4, 5, 7, 3 can be made which are divisible by five?
(a) 216
(b) 162
(c)  2520
(d) 720
Q5.In a bottle of wine there is 40% alcohol and the rest is water. Some quantity of the wine is taken out and is replaced with the same quantity of  another wine containing 25% alcohol. Now the bottle contains 30% alcohol. Find what part of the wine was taken out of the bottle?
(a) 1/2
(b) 1/3
(c) 2/3
(d) 1/4
Q6.Ajit can do as much work in 2 days as Baljit can do in 3 days and Baljit can do as much in 4 days as Diljit in 5 days. A piece of work takes 20 days if all work together. How long Baljit take to do all the work by himself?
(a) 82 days
(b) 44 days
(c) 66 days
(d) 50 days
Q7. The speed 3 1/3 m/sec when expressed in km/hour becomes
(a) 8
(b) 9
(c) 10
(d) 12

Q8. Two trains, A and B, start from stations X and Y towards each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively. After they meet, if train A is moving at 45 km/hr, then the speed of the train B is
(a) 60 km/hr
(b) 64.8 km/hr
(c) 54 km/hr
(d) 37.5 km/hr

Q9. The price of a certain item is increased by 15%. If a consumer wants to keep his expenditure on the item is same as before, how much percent must he reduce his consumption of that item?
(a) 15%
(b) 13 1/23%
(c) 16 2/3%
(d) 10 20/23%
Q10. If the price of petrol be raised by 20%, then the percentage by which a car owner must reduce his consumption so as not to increase his expenditure on petrol is:
(a) 16 1/3%
(b) 16 2/3%
(c) 15 2/3%
(d) 15 1/3%

Solutions:
S1. Ans.(c)
Sol.
Let he borrowed Rs P from Jayant
(P×8×4)/100+(P×10×6)/100+(P×5×12)/100=12,160
⇒ P = Rs 8000

S4. Ans.(a)
Sol. A number will be divisible by 5 if it has either 5 or 0 at its end.
∴ Total numbers formed which are divisible by 5 = (5 × 4 × 3 × 2) + (4 × 4 × 3 × 2)
= 216
S5. Ans.(c)
Sol.
Let total wine = 100 li
∴ alcohol = 40 li, water 60 li
Let x amount is taken out
∴ new quantity of alcohol =2/5×(100-x)+x/4
⇒40-2x/5+x/4=30/100×100
⇒3x/20=10
⇒x=200/3
S6. Ans.(c)
Sol.
Ratio of efficiencies of Ajit, Baljit and Diljet respectively
=3/2:1∶4/5
= 15 : 10 : 8
∴ Time taken by Baljit
=33/10×20
= 66 days
S7. Ans.(d)
Sol. 10/3×18/5 = 12 km/h

S9. Ans.(b)
Sol. reduction in consumption
=15/((100+15) )×100=15/115×100
=300/23=13 1/23%
S10. Ans.(b)
Sol. Required Reduction in price
=20/((100+20) )×100=20/120×100
= 16 2/3%