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# Maths Questions for DSSSB Exam :15th June 2018 (Solutions)

Q1. If Arun working hours per day were increased by 25% and his wage per hour were increased by 20%. By how much per cent was his daily earning increased?
(a) 20%
(b) 25%
(c) 50%
(d) 45%
Q2. There are 1,10,000 books at khuda Baksh Oriental Public Library, 40% of total are Science books. It was decided to add 20,000 new books to the library. How many of the new books should be Science books in order to bring the percentage of Science books in the library equal to 45%?
(a) 15,000
(b) 1,500
(c) 1,450
(d) 14,500

Direction for question 3 and 4 : Read the passage below and solve the questions based on it.
Alok has certain number of Orange. Shazmi bought 25% of the oranges and Sandeep bought one-third of remaining orange,Mohit bought 50% of remaining and Siddharth bought 4 oranges.
Q3. How many oranges did Sandeep purchase?
(a) 3
(b) 4
(c) 6
(d) 8
Q4. How many number oranges were with Alok initially ?
(a) 3
(b) 4
(c) 6
(d) 16
Q5. In Patna University, out of 7 students learning Science, 3 take literature as well. If 10% of the students take only Science, the percentage of students,who have taken Science is ?
(a) 17 1/2%
(b) 23 1/3%
(c) 7 1/2%
(d) Cannot be determined
Q6. In a class 60% of the students pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects?
(a) 80%
(b) 75%
(c) 20%
(d) 25%

Q7. The ratio of the number of boys to that of girls in a school is 4 : 1. If 75% of boys and 70% of the girls are scholarship holders, then the percentage of students who do not get scholarship is :
(a) 50%
(b) 28%
(c) 75%
(d) 26%

Q8. The strength of a school increases and decreases in every alternate year by 10%. It started in 2000 and  increases in 2001, then the strength of the school in 2003 as compared to that in 2000 was:
(a) increased by 8.9%
(b) decreased by 8.9%
(c) increased by 9.8%
(d) decreased by 9.8%
Q9. A spider climbed 62 1/2% of the height of the pole in one hour and in the next hour it covered 12 1/2% of the remaining height. If pole’s height is 192 m, then the distance climed in second hour is
(a) 3 m
(b) 5 m
(c) 7 m
(d) 9 m

Q10. The red blood cells in a blood sample grows by 10% per hour in first two hours, decreases by 10% in next one hour, remains constant in next one hour and again increases by 5% per hour in next two hours. If the original count of the red blood cells in the sample is 40000, find the approximate red blood cell count at the end of 6 hours.
(a) 40000
(b) 45025
(c) 48025
(d) 50025
Solutions:
S2. Ans.(d)
Sol. Number of Science book initially = 40/100×110000
=44000
Number of books later on = 130000
Number of Science books = 45/100×130000=58500
Required number of books = (58500 – 44000)
= 14500
Solutions (3-4)
Let number of oranges with Alok = x
Shazmi bought = 1/4 x
Sandeep = 1/3.3/4 x=1/4 x
Siddharth bought = 1/4 x
1/4 x=4 and x=16
S3. Ans.(b)
Sol. Required answer = 16/4 = 4
S4. Ans.(d)
S5. Ans.(a)
Sol. Number of students taking only Science = 4
Or, 10% of total students = 4
Or, total students = 40
Required percentage = 7/40×100=17.5%
S7. Ans.(d)
Sol. Let the number of boys = 400
Let the number of girls = 100
Total number of students who do not get scholarship
= 400×25/100×100×30/100
= 100 + 30 = 130
Required percentage
= 130/500×100=26%
S8. Ans.(a)
Sol.  Let in 2000, the strength was 100
∴ in 2001 strength = 110
In 2002 strength = 110 × 90/100
In 2003 strength = 110 × 90/100 ×110/100
= 108.9
Required % increment =8.9%
Hence, strength after 3 years will increase by 8.9%
S9. Ans.(d)
Sol. Total height = 192m
Distance climbed in second hour = 1/8
=192×((8-5))/8×1/8
=192×3/8×1/8=9m