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# Maths Questions for DSSSB Exam : 13th August 2018 (Solutions)

Dear Students!!! There is most general as well as a scoring section in all the competitive entrance examinations in the teaching field i.e “Mathematics”.Because in this section only one thing is work i.e your accuracy and that could be nourished with the daily practice. So, for this, we are providing you the daily quiz for all teaching exams i.e CTET Exam 2018, DSSSB Exam & STET Exam.
Directions(1–5): Study the following graph carefully to answer the questions—
The following Bar graph gives the number of products manufactured and sold by a company over the years. (in thousands)
Q1. What is the difference in the number of products manufactured by the Company in the year 2009 and 2008?
(1) 4000
(2) 5500
(3) 3500
(4) 5000
Q2. The number of products sold by the company in the year 2004 is what per cent of the number of products manufactured by it in that year?
(1) 71·43
(2) 67·51
(3) 81·67
(4) 56·29
Q3. What is the percent increase in the number of products manufactured by the company in the year 2006 from the previous year?
(1) 19·25
(2) 33·33
(3) 10·45
(4) 13.33
Q4. What is the respective ratio of the number of products not sold by the company in the year 2007 to those not sold in the year 2005?
(1) 3: 1
(2) 6: 5
(3) 1: 3
(4) 5: 6
Q5. What is the average number of products manufactured by the company over all the years together?
(1) 36550
(2) 39480
(3) 41220
(4) 43330
Q6. There are two trains running on two parallel tracks. Length of each train is 120 m. When they are running in opposite directions, they cross each other in 4 seconds and when they are running in the same direction they cross in 12 seconds. What is the speed of the faster train?
(a) 80 km/hr.
(b) 72 km/hr.
(c) 120 km/hr.
(d) 144 km/hr.
Q7. Prachi starts from Barabanki at 6 am at constant speed of 60 km/hr. She halts at Lucknow for half an hour and then drives at 40 km/hr. If she reaches Kanpur at 9:30 am, which is 160 km from Barabanki, how far is Barabanki from Lucknow?
(a) 75 km
(b) 80 km
(c) 100 km
(d) 120 km
Q8. Anjali fires two bullets from the same place at an interval of 6 minutes but Bhagwat sitting in a car approaching the place of firing hears the second fire 5 minute 32 seconds after the first firing. What is the speed of car, if the speed of sound is 332 m/s?
(a) 56 m/s
(b) 102 m/s
(c) 28 m/s
(d) 32 m/s
Q9. A car crosses a man walking at 6 km/hr. The man can see the things upto 450 m only in one direction due to fog. He sees the car which was going in the same direction for 4.5 minutes. What is the speed of the car?
(a) 9 km/hr.
(b) 12 km/hr.
(c) 12.5 km/hr.
(d) 15 km/hr.
Q10. A train met with an accident 120 km from station A. It completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B. Had the accident taken place 300 km further, it would have been only 1 hour late. What is the speed of the train?
(a) 100 km/hr.
(b) 120 km/hr.
(c) 60 km/hr.
(d) 50 km/hr.

Solutions
S1. Ans(d)
Sol. Difference in the number of products manufactured by the Company in the year 2009 and 2008
Difference = 52500 – 47500
= 5000

S2. Ans(a)
Sol. Required percentage = (25/35) X 100 = 71.43 %
S3. Ans (d)
Sol. Required percentage = [(42.5 – 37.5)/ (37.5)]X 100= 13.33 %
S4. Ans(c)
Sol. Required ratio = (45 – 42.5): (37.5 – 30) = 1: 3
S5. Ans(d)
Sol. average = (35000 + 37500 + 42500 + 45000 + 47500 + 52500)/6 = 43330 (approx).
S6. Ans.(d)
Sol. Distance = speed × time
When the train is running in opposite direction, speed will be added.
120 + 120 = (S₁ + S₂)4
240 = (S₁ + S₂)4
S₁ + S₂ = 60 …(i)
When the train is running in same direction, speed will be subtracted.
120 + 120 = (S₁ – S₂) × 12
240 = S₁ – S₂ × 12
S₁ – S₂ = 20 …(ii)
From (i) & (ii)
2S₁ = 80
S₁ = 40 m/s
S₂ = 20 m/s
S7. Ans.(d)
Sol

S8. Ans.(c)
Sol.
S9. Ans.(b)
S10. Ans.(c)
Sol.