SSC 2008 Part-B Arithmetic

SSC 2008 Tier 1 Part-B Arithmetic

101)

The value of

A) 10
B) 1.248
C) 20.44
D) 1

102)

If , then the value of will be :

A) 5√2
B) 2√5
C) 4√2
D) 4√5

103)

The next number of the series 2, 6, 12, 20, 30, 42, 56, … is :

A) 60
B) 64
C) 68
D) 72

104)

The value of is :

A) 1/2n
B) 1/5n
C) 1/3n
D) 1/n

105)

The value of :

A) 4
B) 270
C) 1/4
D) 1/270

106)

Simplify :

A) 2√6
B) 4√6
C) 2√3
D) 3√2

107)

How many numbers are divisible by 225 between 1000 and 5000?

A) 16
B) 18
C) 19
D) 12

108)

then what will be the number of term of ?

A) 9th
B) 8th
C) 7th
D) 5th

109)

then find the value of

A) 2616
B) 2585
C) 3747
D) 2555

110)

Find the smallest numbers, which is divided by 5, 10, 12 and 15 then remainder will be 2 in each case, but when it is divided by 7 then remainder will be zero.

A) 189
B) 182
C) 175
D) 91

111)

The sum of two digit number and the new number after interchanging the digits will be divisible by :

A) 11
B) 9
C) 5
D) 3

112)

If , then the value of x will be :

A) 1/5
B) 3/5
C) 5/3
D) 5/7

113)

If sum of two numbers is 216 and their H.C.F. = 27. How many pairs of such numbers are there ?

A) 1
B) 2
C) 3
D) 0

114)

If a number is divided by 119 then remainder is 19. What will be the remainder if that number is divided by 17?

A) 12
B) 10
C) 7
D) 2

115)

What will be the greatest number among these numbers ?

A) √2
B) ∛3
C) ∜4
D)

116)

The value of is :

A) 170000
B) -15000
C) 90000
D) -90000

117)

The value of

A) 6
B) 1
C) 0
D) 5

118)

Simplify :

A) √6
B) √3
C) √2
D) 0

119)

If the first day of the year 1998 was Thursday, then what will be the last day of the year 2001 ?

A) Monday
B) Sunday
C) Saturday
D) Tuesday

120)

The largest perfect square of five digit number is :

A) 99999
B) 99976
C) 99856
D) 99764

121)

The sum of first 50 odd natural numbers is :

A) 1000
B) 1250
C) 5200
D) 2500

122)

is equal to :

A) 1995
B) 195
C) 95
D) 10

123)

If the product of LCM and HCF of two numbers is 24. Find the greater number if their difference is 2?

A) 3
B) 4
C) 6
D) 8

124)

If the value of x is :

A) 25/4
B) 4
C) 9
D) 16

125)

What will be odd number of this series, which is not based on proper pattern?

1, 8, 27, 84, 125, 216, 343

A) 1
B) 27
C) 84
D) 216

126)

If a number is divided by 5 then remainder is 3. What will be the remainder if square of that number is divided by 5?

A) 1
B) 2
C) 3
D) 4

127)

If two numbers are in the ratio of 3:4. Find the smaller number if their LCM=240.

A) 100
B) 80
C) 60
D) 50

128)

The number how much more than the number ?

A)
B)
C)
D)

129)

The first, second and third odd numbers are 1, 3 and 5 respectively and the series is continued in same order. What will be 200th numbers?

A) 399
B) 421
C) 357
D) 599

130)

Only two terms of the given AP are known.

_, 5, _, _, 14, _, …..
What will be the next number after 14?

A) 17
B) 18
C) 19
D) 20

131)

The average of 30 numbers is 12. Out of them average of first 20 is 11 and next 9 is 10. The last number will be :

A) 60
B) 45
C) 40
D) 50

132)

The average of present ages of a 4 member family is 36 years. The present age of youngest member is 12 years, then what was the average age of this family at the birth time of the youngest member?

A) 48 years
B) 40 years
C) 32 years
D) 24 years

133)

The average of 8 numbers is 20. If sum of first two numbers is 31, the average of next three numbers is and seventh and eighth numbers are more than 4 and 7 from the sixth number, then eight number will be :

A) 20
B) 25
C) 21.6
D) 25.3

134)

The average of bowling of a cricket player was 12.4. When he takes 5 wickets in last match after giving 26 runs then his average of bowling is bettered by 0.2. How many wickets were taken by him before the last match ?

A) 125
B) 150
C) 175
D) 200

135)

A train covers 3584 km distance in 2 days 8 hours. If this train covers 1440 km in first day and 1608 km in second day then average speed for rest journey is how many more or less than the average speed of whole journey?

A) 3 km/hr. more
B) 3 km/hr. less
C) 4 km/hr. more
D) 5 km/hr. less

136)

What per cent of 2 kg will be 65 gm?

A)
B)
C)
D)

137)

The an examination 80 % candidates passed in English and 85% in Mathematics. If 73% candidates passed in both subjects then how many candidates were failed in the both subjects?

A) 8
B) 15
C) 27
D) 35

138)

The half of 1% can be written as :

A) 0.2
B) 0.02
C) 0.005
D) 0.05

139)

If the length of a rectangular field is increased by 5% and breadth decreased by 10%, then what will be the difference in its area ?

A) 5.5% increase
B) 5.5% decrease
C) 0.55% decrease
D) No change

140)

If price of consumer’s product is increased by 50% then how many part in the expenditure will be decreased for the constant expenditure ?

A) 1/4
B) 1/3
C) 1/2
D) 2/3

141)

There is 20% decrease in cost of sugar. Now a person can get 500 gm of sugar more in Rs. 36. What was the original cost of sugar per kg?

A) Rs. 14.40
B) Rs. 18
C) Rs. 15.60
D) Rs. 16.50

142)

B got 20% less marks than A. Then A got how many percentage more marks than B?

A) 20
B) 25
C) 12
D) 80

143)

The population of a village is increased by 4%. If present population is 50,000 then what will be it after 2 years?

A) 53,900
B) 54,000
C) 54,080
D) 54,900

144)

If a:b:c = 3:4:7, then ratio of (a+b+c):c will be equal to :

A) 2:1
B) 14:3
C) 7:2
D) 1:2

145)

The ratio of present ages of A and B is 4:5 and after 5 years it will be 5:6. What is the present age of A?

A) 10 years
B) 20 years
C) 25 years
D) 40 years

146)

The ratio of zinc, copper and tin in any alloy is 2:3:1, and in another alloy the ratio of copper, tin and glass is 5:4:3. If in a new alloy both are taken in same weight, then what will be weight of glass per kg in the new alloy?

A) 1/2kg
B) 1/8kg
C) 3/14kg
D) 7/9kg

147)

The ratio of milk and water in 729 litre mixture is 7:2. To obtain a mixture in which the ratio of milk and water is 7:3, what will be the amount of extra water to be added in new mixture?

A) 81 litre
B) 71 litre
C) 56 litre
D) 50 litre

148)

The ratio of expenditure and saving of Rama is 5:3. If his income and expenditure are increased by 12% and 15% respectively, then by what per cent his saving will be increased ?

A) 12
B) 7
C) 8
D) 13

149)

The ratio of students of three classes is 2:3:4. If 12 students are increased in each classes then their ratio turns into 8:11:14. What was the total number of students in all the three classes originally ?

A) 162
B) 108
C) 96
D) 54

150)

A, B and C with their capitals Rs. 45,500, Rs 45,000 and Rs. 60,000 started a business. After 6 months C withdrew Rs. 15,000 but A invested Rs. 4500 more. How many more share of A than B will have in Rs. 56,100 as yearly profit?

A) Rs. 900
B) Rs. 1100
C) Rs. 3000
D) Rs. 3900

151)

The ratio of milk and water in 40 litre mixture is 7:1. To make the ratio of milk and water 3:1 in the mixture, what will be the amount of extra water (in litre) to be added in the mixture?

A) 6
B) 61/2
C) 62/3
D) 63/4

152)

In what ratio mixtures of 30% concentration of alcohol and 50% concentration of alcohol are to be added so that the resultant mixture will be of 45% concentration of alcohol?

A) 1:2
B) 1:3
C) 2:1
D) 3:1

153)

The total number of coins of one rupee and 50 paise in a box is 210. The ratio of their proper values is 13:11.What will be the number of one rupee coin?

A) 65
B) 66
C) 77
D) 78

154)

Kamal borrowed Rs. 6,800, he has to return the amount with compound interest at the rate of 121/2% per year in two equal yearly installments. What will be the amount of yearly installments?

A) Rs. 8100
B) Rs. 4150
C) Rs. 4050
D) Rs. 4000

155)

A person lends Rs. 60,000, out of them some amount at the rate of 5% and rest of the amount at the rate of 4% simple interest. If total amount of yearly interest is Rs. 2,560, then what will be the amount lended for at 4% interest?

A) Rs. 40,000
B) Rs. 44,000
C) Rs. 30,000
D) Rs. 45,000

156)

If sum becomes double in 12 years at a certain rate of simple interest, then what will be rate of interest per year?

A) %
B) 7.5%
C) %
D) 10%

157)

A person lends Rs. 50,000 of which an amount of Rs. 8,000 at the rate of 5.5% simple interest per year, Rs. 24,000 at the rate of 6% simple interest per year and rest of the amount at a certain rate of simple interest per year so that the total amount of yearly interest will be Rs. 3,860. What will be the rate of interest of the rest of amount lended for ?

A) 5 %
B) 7 %
C) 10 %
D) 12 %

158)

In how many years Rs. 10,000 will be amounted to Rs. 13,300 at the rate of 20% compound interest per year compounded to half yearly?

A) 11/2 years
B) 2 years
C) 21/2 years
D) 3 years

159)

The simple interest of a sum for 1 year at a certain rate of interest is Rs. 260 and compound interest for 2 years is Rs. 540.80 at the same rate of interest per year. What will be the rate of interest per year?

A) 4%
B) 6%
C) 8%
D) 10%

160)

The compound interest of a certain sum at the rate of 5% per year for 3 years is Rs. 1261. Find the sum.

A) Rs. 9000
B) Rs. 8400
C) Rs. 7500
D) Rs. 8000

161)

The simple interest of a sum at the rate of 4% per year for 2 years is Rs. 80. What will be compound interest of the same sum for the same period of time?

A) Rs. 82.60
B) Rs. 82.20
C) Rs. 81.80
D) Rs. 81.60

162)

A shopkeeper tags the list price of 30% above the cost price, but at the time of selling he gives 10% as discount. Find his profit percentage?

A) 21%
B) 20%
C) 18%
D) 17%

163)

The list price of an article is Rs. 920. The selling price after two consecutive discounts is Rs. 742.90. If first discount is 15% then what will be the rate of second?

A) 3%
B) 5%
C) 8%
D) 12%

164)

An article is sold at 20% discount and an extra 30% discount is given for cash payment. If Vidya has bought it at Rs. 2,240 in cash payment, then what was the list price of the article?

A) Rs. 4000
B) Rs. 4368
C) Rs. 4400
D) Rs. 4480

165)

A retailer buys a grinder at 15% discount and sells it on 15% profit at Rs. 1,955. The amount of discount given by whole-seller to the retailer was

A) Rs. 270
B) Rs. 290
C) Rs. 300
D) Rs. 330

166)

A shopkeeper gains 12% profit on selling a book after giving 10% discount at list price. Find the ratio of cost price and list price of the book.

A) 99 : 125
B) 25 : 37
C) 50 : 61
D) 45 : 56

167)

A can do a work in 8 days working 5 hours a day and working 6 hours a day B can do the same work in 10 days. In how many days both will do the work working 8 hours a day?

A) 3 days
B) 4 days
C) 4.5 days
D) 5.4 days

168)

40 men can do a work in 40 days. They all start the work. But at the last of each 10th day 5 men continued to leave the work. In how much time the work will be completed?

A) 562/3 days
B) 531/3 days
C) 52 days
D) 50 days

169)

If two persons having same efficiency can do two jobs in 2 days. In how many days 100 persons having same efficiency could do the same 100 jobs?

A) 100 days
B) 10 days
C) 5 days
D) 2 days

170)

A tank full of water is emptied in 10 hours due to a hole at the bottom of the tank. If the tank is full of water and also a tap fills the tank at the rate of 4 liter per minute then tank emptied in 15 hours by the hole at the bottom. How much liter of water can be filled in the tank?

A) 2400
B) 4500
C) 1200
D) 7200

171)

A can do a work in 18 days, B can do the same work in 12 days. Both of them started the work but 3 days before the completion of the work B left the work. In how many days work will be completed?

A) 12
B) 10
C) 9.6
D) 9

172)

Ganga and Saraswati can harvest a cornfield in 8 hours and 12 hours respectively. If Ganga started the harvesting at 9 A.M. and both harvested for 1 hour alternatively till the completion of the work, when will the work be completed?

A) 6 pm
B) 6 : 30 pm
C) 5 pm
D) 5 : 30 pm

173)

A and B started his journey from the same place at the same time. B started with the speed of 5/6 th the speed of A and reached the destination 1 hr. 15 minutes after A. How much time did B take to reach the destination?

A) 6 hr 45 min
B) 7 hr 15 min
C) 7 hr 30 min
D) 8 hr 15 min

174)

At the same time two train started from A to B and B to A. After crossing each other they reached B and A in 4 hrs and 9 hrs respectively then the ratio of their speeds was :

A) 2 : 1
B) 3 : 2
C) 4 : 3
D) 5 : 4

175)

Two trains having equal lengths travelling in opposite directions crossed a pole in 18 sec. and 12 sec. respectively. The time taken by both to cross each other will be :

A) 14.4 sec.
B) 15.5 sec.
C) 18.8 sec.
D) 20.2 sec.

176)

Two men started moving on a circular path from the same time in same direction. If they complete one rotation in 10 min. and 15 min. respectively, then how long they will meet again.

A) 30 min
B) 33 min
C) 40 min
D) 45 min

177)

A running train takes to cross a man standing on a platform and a 300 m long bridge in 10 sec and 25 sec respectively. How long it will take to cross a 200 m long platform?

A) sec.
B) 18 sec.
C) 20 sec.
D) 22 sec.

178)

A man takes 6 hrs 15 min to go to the destination on foot and come back on riding. He also takes 7 hrs to go and come back from the destination on foot. How long he will take to cover the destination to go to and come back on riding?

A) 4 hrs.
B) 4 hrs. 30 min
C) 4 hrs. 45 min
D) 5 hrs.

179)

A man takes 5 hrs to go to the destination in downstream and also come back in upstream by boat. If the speed of boat in still water is 10 km/hr and speed of stream is 4 km/hr, then what will be the distance of destination from starting point?

A) 16 km
B) 18 km
C) 21 km
D) 25 km

180)

The speed of boat in still water is 7.5 km/hr. The time taken in upstream flow is twice of the time taken in downstream flow. The speed of stream is :

A) 2 km/hr
B) 2.5 km/hr
C) 3 km/hr
D) 4 km/hr

181)

A trader sells an article at 10% profit. If he would buy it at 10% less and sell at Rs. 2 less than he would get 162/3% profit. The cost price of the article is :

A) Rs. 32
B) Rs. 36
C) Rs. 40
D) Rs. 48

182)

A trader calculates his profit on the basis of cost price and another on the basis of selling price. If selling prices are equal then the difference of their actual profits is Rs. 85 and also both get 20% profit. What is their selling price?

A) Rs. 1700
B) Rs. 2100
C) Rs. 2550
D) Rs. 2750

183)

A sells an article to B on 10% profit. B sells back the article to A on 10% loss. In whole transaction :

A) A has no loss no profit
B) A has 11% profit
C) A has 20% profit
D) B has 20 % loss

184)

Find the ratio in which Rs. 192 per kg tea is mixed with Rs. 150 per kg tea and the mixture is sold at Rs. 194.40 per kg, hence getting 20% profit.

A) 2:5
B) 3:5
C) 5:3
D) 5:2

185)

If selling price of an article is doubled then the loss percentage changes to equal amount of profit percentage on it. The loss percentage of the article is :

A) %
B) 33%.
C) %
D) 34%

186)

The loss percentage is found 25% on the basis of selling price of an article. The loss percentage on the basis of cost price will be :

A) 18
B) 20
C) 22
D) 25

187)

The difference in areas of a circumcircle and an incircle of an equilateral triangle is 44 cm2, then the area of the triangle will be : (Take π=22/7)

A) 28 cm2
B) 7√3 cm2
C) 14√3 cm2
D) 21 cm2

188)

When a wire is given to a shape of square, then its area is 121 cm2 . When the same wire is given to the shape of a circle then the area of the circle will be : (Take π=22/7)

A) 144 cm2
B) 180 cm2
C) 154 cm2
D) 176 cm2

189)

If area of an incircle of a square is 9π cm2, then what will be the area of the square ?

A) 24
B) 30
C) 36
D) 81

190)

If total surface area of a solid hemisphere is 108π cm2. What will be the volume of the hemisphere?

A) 72π
B) 144 π
C) 108√6
D) 54√6

191)

ABC is an equilateral triangle having 2 cm sides. Taking A, B and C as centers three arcs are drawn with 1 cm radius. The area of the inner side of the triangle bounded by three arcs will be :

A)
B)
C)
D)

192)

If S is the curved surface area of the right circular cylinder whose h and α are the height semi-vertex angle, S is equal to :

A)
B)
C)
D)

193)

The ratio of volumes of a cube and its inner sphere will be :

A) 6:π
B) 4:π
C) 5:3π
D) 4:3

194)

64 equal small solid spheres are made by melting a solid sphere of radius 8 cm. The ratio of surface areas of this sphere to a small sphere will be :

A) 4:1
B) 1:16
C) 16:1
D) 1:4

195)

The volume of metal of a cylindrical pipe is 748 cm3 . The length and outer radius of the pipe are 14 cm and 9 cm respectively. What will be its width? (Take π=22/7)

A) 1 cm
B) 5.2 cm
C) 2.3 cm
D) 3.7 cm

196)

Two iron spheres of 6 cm diameters are dropped in a cylindrical pot of radius 6 cm having water. By what level will water be raised in the pot?

A) 1 cm
B) 2 cm
C) 3 cm
D) 6 cm

Direction : Following are the exports of consumer articles by the four seaports.
Study the table and answer the questions 197 to 200 based on it.

Seaport	Export in 1998 (Rs. In crores)	Export in 1999 (Rs. In crores)
A	75	61
B	148	160
C	229	234
D	146	150

197)

In comparison to 1998, in 1999 the increase in exports of consumer articles by which seaports was maximum?

A) A
B) B
C) C
D) D

198)

In comparison to 1998, how much change in proper exports of consumer articles were found in 1999?

A) 4.3% increase approx.
B) 4.3% decrease approx.
C) 0.04% increase approx.
D) 0.04% decrease approx.

199)

In comparison to 1998, what was the average increase in exports by all seaports in 1999?

A) Rs. 82500000
B) Rs. 80000000
C) Rs. 75000000
D) Rs. 62500000

200)

In comparison to 1998, the percentage increase in exports by which seaport was minimum in 1999?

A) A
B) B
C) C
D) D