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Math SSC Solved Questions paper of 19 October 104 with answer key | Solutions

101. Three numbers are in the ratio 1: 2 : 3 and their HCF is 12. The numbers are

(A) 12,24,36 (B) 5.10.15 (C) 4,8,12 (D) 10.20.30

102. If x [-2{-4 (—a)}] + 5 [—2{—2(—a)}] = 4a. then x=

(A) —2 (B) -3 (C) —4 (D) —5

103. A can complete a work in m day and B can complete it in n days. How many days will it take complete the work if both work if both A and B work together?

(A) (m+n)days (B) (1/m* 1/n) days C: ( m+n/mn) days D (mn/m+n) days

104. Pipe A is an inlet pipe filling the tank at 8000 I/hr. Pipe B empties the tank in 3 hours. The capacity of tank is

(A) 12000 l (B) 432000 l (C) 6000 l (D) 4320

105. A tap drips at a rate of one drop / sec. , 600 drops make 100 ml. The number

of litres wasted in 300 days is

(A) 43220000 (B) 432000 (C) 43200 (D) 4320

107 A sphere is cut into two hemispheres One of them is used as bowl It takes 8 bowl fuls of this to fill a conical vessel of height 12 cm and radius 6 cm . the radius of the Sphere in centimeter will be

(A) 3 (B) 2 (C) 4 (D)) 6

108 The perimeters of a circle, a Square and an equilateral triangle are same

and ihcir areas are C , S, and T respectively . which of the following statement is correct

A C=S=T B C>S>T C C<S<T D S<C<T

109 The list price of a shirt is 440 and A pays 396 for it . The discount rate is

(A) 10% (B) 10 ½% C : 20% (D) 12%

7

110. A plate was sold for 6,300 after giving two successive discounts of 12 1/2 % and 10%. Find the marked price.

(A) 7,300 (B) 7,700 (C) 8,000 (D) 7.250

111. To attract more visitors, Zoo authority announces 20% discount on every ticket which costs 25 p. For this reason, sale of ticket increases by 28%. Find the percentage of increase in the number of visitors.

(A) 40% (B) 50% (C) 60% (D) No change

112. Which of’ the following correct Proportion?

(A) 12:9= 16:12 (B) 13:11=5:4

(C) 30:45=13:24 (D) 3:5=2:5

113. A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps. 5 steps of the policeman is equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is

(A) 25 : 28 (B) 25 : 56 (C) 28 : 25 (D) 56 : 25

114. In a Mathematics examination the numbers scored by 5 candidates are 5 successive odd integers. If their total marks is 185. the highest score is

(A) 39 (B) 43 (C) 41 (D) 37

115. In two successive years, 80 and students of a school appeared the final examination of which 60 % and 80% passed respectively. The average rate of students passed (in percent is

(A) 68% (B) 68 4/7 % (C) 70% (D 72 3/7%

116. Nisha bought a number of orange at 2 for a rupee and an equal number at

3 for a rupee. To make a profit of 20% she should sell a dozen for

(A) 6 (B) 8 (C)10 D 12

117. If A salary is 50% more than that of B, then B salary is less than A’s by

(A) 33% (B 40 1/3% (C) 45 1/3% (D) 33 1/3 %

118. A and B are 20 km apart. A can walk at an average speed of 4 km/hour and B at 6 km/hr. If they start walking towards each other at 7 a.m., when they will meet?

(A) 8.00 a.m. (B) 8:30 (C) 9.00 a.m. (D) 8.30 a.m.

119. A boat goes 24 km upstream and 28 km down stream in (6 hours. it goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still later is

(A) 8 km/hr (13) B: 9 km/hr (C) 12 km /hr D : 10 km/hr

120. The compound interest on a certain sum of money for 2 years at 5% per annum is 410, the simple interest on the same sum at the same rate and for the some time is

A 400 B 300 C350 D 405

121 The Graphs of x=a and y=b interest at

A (A,b) B (b,a ) C (-a,b ) D: (a, -b)

Answer key : 1.A 2.B 3.D 4.WRONG 5.D 6.C 7.A 8.B 9.A 10.C 11.C 12.A 13.C 14.C 15.B 16.A 17.D 18.C 19.D 20.A 21.A

Math SSC Solved Questions paper of 19 October 104 with answer key | Solutions

101. Three numbers are in the ratio 1: 2 : 3 and their HCF is 12. The numbers are

(A) 12,24,36 (B) 5.10.15 (C) 4,8,12 (D) 10.20.30

102. If x [-2{-4 (—a)}] + 5 [—2{—2(—a)}] = 4a. then x=

(A) —2 (B) -3 (C) —4 (D) —5

103. A can complete a work in m day and B can complete it in n days. How many days will it take complete the work if both work if both A and B work together?

(A) (m+n)days (B) (1/m* 1/n) days C: ( m+n/mn) days D (mn/m+n) days

104. Pipe A is an inlet pipe filling the tank at 8000 I/hr. Pipe B empties the tank in 3 hours. The capacity of tank is

(A) 12000 l (B) 432000 l (C) 6000 l (D) 4320

105. A tap drips at a rate of one drop / sec. , 600 drops make 100 ml. The number

of litres wasted in 300 days is

(A) 43220000 (B) 432000 (C) 43200 (D) 4320

107 A sphere is cut into two hemispheres One of them is used as bowl It takes 8 bowl fuls of this to fill a conical vessel of height 12 cm and radius 6 cm . the radius of the Sphere in centimeter will be

(A) 3 (B) 2 (C) 4 (D)) 6

108 The perimeters of a circle, a Square and an equilateral triangle are same

and ihcir areas are C , S, and T respectively . which of the following statement is correct

A C=S=T B C>S>T C C<S<T D S<C<T

109 The list price of a shirt is 440 and A pays 396 for it . The discount rate is

(A) 10% (B) 10 ½% C : 20% (D) 12%

7

110. A plate was sold for 6,300 after giving two successive discounts of 12 1/2 % and 10%. Find the marked price.

(A) 7,300 (B) 7,700 (C) 8,000 (D) 7.250

111. To attract more visitors, Zoo authority announces 20% discount on every ticket which costs 25 p. For this reason, sale of ticket increases by 28%. Find the percentage of increase in the number of visitors.

(A) 40% (B) 50% (C) 60% (D) No change

112. Which of’ the following correct Proportion?

(A) 12:9= 16:12 (B) 13:11=5:4

(C) 30:45=13:24 (D) 3:5=2:5

113. A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps. 5 steps of the policeman is equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is

(A) 25 : 28 (B) 25 : 56 (C) 28 : 25 (D) 56 : 25

114. In a Mathematics examination the numbers scored by 5 candidates are 5 successive odd integers. If their total marks is 185. the highest score is

(A) 39 (B) 43 (C) 41 (D) 37

115. In two successive years, 80 and students of a school appeared the final examination of which 60 % and 80% passed respectively. The average rate of students passed (in percent is

(A) 68% (B) 68 4/7 % (C) 70% (D 72 3/7%

116. Nisha bought a number of orange at 2 for a rupee and an equal number at

3 for a rupee. To make a profit of 20% she should sell a dozen for

(A) 6 (B) 8 (C)10 D 12

117. If A salary is 50% more than that of B, then B salary is less than A’s by

(A) 33% (B 40 1/3% (C) 45 1/3% (D) 33 1/3 %

118. A and B are 20 km apart. A can walk at an average speed of 4 km/hour and B at 6 km/hr. If they start walking towards each other at 7 a.m., when they will meet?

(A) 8.00 a.m. (B) 8:30 (C) 9.00 a.m. (D) 8.30 a.m.

119. A boat goes 24 km upstream and 28 km down stream in (6 hours. it goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still later is

(A) 8 km/hr (13) B: 9 km/hr (C) 12 km /hr D : 10 km/hr

120. The compound interest on a certain sum of money for 2 years at 5% per annum is 410, the simple interest on the same sum at the same rate and for the some time is

A 400 B 300 C350 D 405

121 The Graphs of x=a and y=b interest at

A (A,b) B (b,a ) C (-a,b ) D: (a, -b)

Answer key : 1.A 2.B 3.D 4.WRONG 5.D 6.C 7.A 8.B 9.A 10.C 11.C 12.A 13.C 14.C 15.B 16.A 17.D 18.C 19.D 20.A 21.A

104 is not wrong, answer is 6000litres , 8000-x/3=x , solving it gives x=6000

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