SSC CGL 2006 Tier 1 Part B Arithmetic

SSC CGL 2006 Tier 1
Part B Arithmetic

101)

Given that √24 is approximately equal to 4.898.
is equal to

A) 0.544
B) 1.333
C) 1.633
D) 2.666

102)

is equal to

A)
B)
C)
D)

103)

A number divided by 56 gives 29 as remainder. If same number is divided by 8, the remainder will be

A) 7
B) 6
C) 5
D) 4

104)

Given that √3 = 1.732, the value of
is

A) 4.899
B) 2.551
C) 1.414
D) 1.732

105)

The numbers 2272 and 875 are divided by a 3-digit number N, giving the same remainders. The sum of the digits of N is

A) 10
B) 11
C) 12
D) 13

106)

The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be

A)
B)
C)
D)

107)

If a = , then the value of √(1+a)+√(1-a) is :

A) √3
B)
C) 2 + √3
D) 2 - √3

108)

What will be the greatest number among these ?
√7 - √5 , √5 - √3 , √9 - √7 , √11 - √9

A) √7 - √5
B) √5 - √3
C) √9 - √7
D) √11 - √9

109)

Three sets of English, Mathematics and Science books containing 336, 240, 96 books respectively have to be stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. Total number of stacks will be

A) 14
B) 21
C) 22
D) 48

110)

It is given that is exactly equal divisible by a certain number. Which one of the following is also definitely divisible by the same number?

A)
B)
C)
D)

111)

The speeds of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reach the destination?

A)
B) 2 hours
C) hours
D) hours

112)

Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, the fourth number is

A) 3
B) 4
C) 7
D) 11

113)

The average of 100 numbers is 44. The average of these 100 numbers and 4 other new numbers is 50 . The average of the four new numbers will be

A) 800
B) 200
C) 176
D) 24

114)

The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of the family on these articles are increased by

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

115)

The price of a certain item is increased by 15%. If a consumer wants to keep his expenditure on the item the same as before, how much per cent must he reduce his consumption of that item?

A) 15%
B) %
C) %
D) %

116)

In a school having a roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls becomes

A) 12 : 7
B) 10 : 7
C) 8 : 7
D) 4 : 3

117)

If 20 % of A = 30% of B= of C, then A : B : C is

A) 2 : 3 : 16
B) 3 : 2 : 16
C) 10 : 15 : 18
D) 15 : 10 : 18

118)

In an innings of a cricket match, three players A, B and D scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B and also number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was

A) 171
B) 181
C) 185
D) 161

119)

The length of a rectangle is increased by 10 % and breadth decreased by 10 %. Then the area of the new rectangle is

A) neither decreased nor increased
B) increased by 1 %
C) decreased by 1 %
D) decreased by 10 %

120)

The ratio of incomes of A and B is 5 : 6. If A gets Rs. 1100 less than B, their total income (in Rs) is

A) 9900
B) 12100
C) 14400
D) 10000

121)

A box contains 1-rupee, 50-paise and 25-paise coins in the ratio 8 : 5 : 3. If the total amount of money in the box is Rs. 112.50, the numbers of 50-paise coins is

A) 80
B) 50
C) 30
D) 42

122)

Rs. 6000 becomes Rs. 7200 in 4 years at a certain rate of simple interest. If the rate becomes 1.5 times of itself, the amount of the same principal in 5 years will be

A) Rs. 8000
B) Rs. 8250
C) Rs. 9250
D) Rs. 9000

123)

With a given rate of simple interest, the ratio of principal and amount for a certain period of time is 4 : 5. After 3 years with the same rate of interest , the ratio of the principal and amount becomes 5 : 7. The rate of interest is

A) 4%
B) 6%
C) 5%
D) 7%

124)

Rs. 1000 is invested at 5 % per annum simple interest. If the interest is added to the principal after every 10 years, the amount will become Rs. 2000 after

A) 15 years
B) 18 years
C) 20 years
D) years

125)

A money-lender borrows money at 4 % per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half-yearly and receives the interest at the end of the year. In this way he gains Rs. 104.50 a year. The amount of money he borrows is

A) Rs. 6000
B) Rs. 5500
C) Rs. 5000
D) Rs. 4500

126)

A borrows Rs. 800 at the rate of 12 % per annum simple interest and B borrows Rs. 910 at the rate of 10 % per annum simple interest. In how many years will their amounts of debts be equal?

A) 18
B) 20
C) 22
D) 24

127)

A person deposited Rs. 400 for 2 years. Rs. 550 for 4 years and Rs. 1200 for 6 years. He received the total simple interest of Rs. 1020. The rate of interest per annum is

A) 10%
B) 5%
C) 15%
D) 20%

128)

A pen is listed for Rs. 12. A discount of 15 % is given on it. A second discount is given bringing the price down to Rs. 8.16. The rate of second discount is

A) 20%
B) 15%
C) 18%
D) 25%

129)

A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in

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

130)

A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in

A) 5 days
B) 6 days
C) 9 days
D) 10 days

131)

Two guns are fired from the same place at an interval of 6 minutes. A person approaching the place observes that 5 minutes 52 seconds have elapsed between the hearing of the sound of the two guns. If the velocity of the sound is 330 m/sec, the man was approaching that place at what speed (in km/hr)?

A) 24
B) 27
C) 30
D) 36

132)

A book seller sells a book at a profit of 10 %. If he had brought it at 4 % less and sold it for Rs. 6 more, he would have gained %. The cost price of the book is

A) Rs. 130
B) Rs. 140
C) Rs. 150
D) Rs.160

133)

The area of the shaded region in the figure given below is

A) sq. units
B) sq. units
C) sq. units
D) sq. units

134)

Krishnan bought a camera and paid 20% less than its original price. He sold it at 40% profit on the price he had paid. The percentage of profit earned by Krishnan on the original price was

A) 22
B) 32
C) 12
D) 15

135)

If a man were to sell his chair for Rs. 720, he would lose 25%. To gain 25%, he should sell it for

A) Rs. 1200
B) Rs. 1000
C) Rs. 960
D) Rs. 900

136)

A path of uniform width runs round the inside of a rectangular field 38 m long and 32 m wide. If the path occupies 600 , then the width of the path is

A) 30 m
B) 5 m
C) 18.75 m
D) 10 m

137)

The area of the largest circle, that can be drawn inside a rectangle with sides 18 cm by 14 cm, (in ) is

A) 49
B) 154
C) 378
D) 1078

138)

The perimeter of the floor of a room is 18 m. What is the area of the four walls of the room, if the height of the room is 3 m (in )?

A) 21
B) 42
C) 54
D) 108

139)

The area of a circle is increased by 22 cm2 when its radius is increased by 1 cm. The original radius of the circle is

A) 6 cm
B) 3.2 cm
C) 3 cm
D) 3.5 cm

140)

A right circular cylinder of height 16 cm is covered by a rectangular tin foil of size 16 cm × 22 cm. The volume of the cylinder is ( in )

A) 352
B) 308
C) 176
D) 616

141)

A man sells his typewriter at 5% loss. If he sells it for Rs. 80 more, he will gain 5%. The cost price of the typewriter is

A) Rs. 1600
B) Rs. 1200
C) Rs. 1000
D) Rs. 800

142)

By selling 10 pencils, a shopkeeper gains the selling price of 20 pencils. His gain per cent is

A) 25
B) 20
C) 15
D) 12

143)

What part of a ditch, 48 m long, 16.5 m broad and 4 m deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 m length 56 m?

A)
B)
C)
D)

144)

The size of a rectangular piece of paper is 100 cm × 44 cm. A cylinder is formed by rolling the paper along its length. The volume of the cylinder ( in )is

A) 4400
B) 15400
C) 35000
D) 144

145)

The volumes of a sphere and a right circular cylinder having the same radius are equal. The ratio of the diameter of the sphere to the height of the cylinder is

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

146)

A man complete 30 km of a journey at the speed of 6 km/hr and the remaining 40 km of the journey in 5 hours. His average speed for the whole journey is

A) 7 km/hr
B) km/hr
C) 8 km/hr
D) 7.5 km/hr

147)

A train travelling at a speed of 30 m/sec crosses a platform, 600 m long, in 30 seconds. The length ( in m) of the train is

A) 120
B) 150
C) 200
D) 300

148)

A fruit seller buys lemons at 2 for a rupee and sells them at 5 for three rupees. His profit per cent is

A) 10
B) 15
C) 20
D) 25

149)

Two trains 105 m and 90 m long, run at the speeds of 45 km/hr and 72 km/hr respectively, in opposite directions on parallel track. The time which they take to cross each other is

A) 8 seconds
B) 6 seconds
C) 7 seconds
D) 5 seconds

150)

A student walks from his house at a speed of 2.5 km/hr and reaches his school 6 minutes late. The next day he increases his speed by 1 km/hr and reaches 6 minutes before school time. How far is the school from his house?

A) 1.250 km
B) 1.750 km
C) 2.250 km
D) 2.750 km

151)

A pipe can fill a tank in ‘x’ hours and another pipe can empty it in ‘y’ (y>x) hours. If both the pipes are open, in how many hours will the tank be filled ?

A) (x-y) hours
B) (y-x)hours
C) hours
D) hours

152)

A cistern has 3 pipes A, B and C. A and B can fill it in 3 hours and 4 hours respectively while C can empty the completely filled cistern in 1 hour. If the pipes are opened in order at 3, 4 and 5 p.m. respectively, at what time will the cistern be empty?

A) 6:15 pm
B) 7:12 pm
C) 8:12 pm
D) 8:35 pm

153)

To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to so it?

A) 30 days
B) 35 days
C) 40 days
D) 45 days

154)

A, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 :4, how much time shall B take to do it?

A) Rs. 800
B) Rs. 600
C) Rs. 900
D) Rs. 750

155)

A steamer goes downstream from one port to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of stream is 2 km/hr, the distance between the two ports is

A) 50 km
B) 60 km
C) 70 km
D) 80 km

156)

A dealer buys and article marked at Rs. 25000 with 20% and 5 % off. He spends Rs. 1000 for its repairs and sells it for Rs. 25000. What is his gain or loss per cent?

A) Loss of 25%
B) Gain of 25%
C) Gain of 10%
D) Loss of 10%

157)

A company offers three types of successive discounts : (i) 25% and 15%, (ii) 30% and 10%, (iii) 35% and 5%. Which offer is the best for a customer?

A) First offer
B) Second offer
C) Third offer
D) Any one; all are equally good

158)

An article is listed at Rs. 900 and two successive discounts of 8% and 8% are given on it. How much would the seller gain or lose, if he gives a single discount of 16%, instead of two discounts?

A) Gain of Rs.5.76
B) Loss of Rs.5.76
C) Gain of Rs.4.76
D) Loss of Rs.4.76

159)

The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on the set of the shirt and trousers is 30%, the discount offered on the trousers is

A) 15%
B) 20%
C) 25%
D) 30%

160)

A sum of money amounts to Rs. 5200 in 5 years and to Rs. 5680 in 7 years at simple interest. The rate of interest per annum is

A) 3%
B) 4%
C) 5%
D) 6%

161)

The number of digits in the square root of 625686734489 is

A) 4
B) 5
C) 6
D) 7

162)

Given below is a finite sequence of numbers with an unknown x :
0, 1, 1, 2, 3, 5, 8, 13, x, 34
The value of x is :

A) 21
B) 20
C) 19
D) 17

163)

is equal to

A) 4
B) 16
C) 64
D) 256.25

164)

is equal to

A)
B)
C)
D)

165)

64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 312 appear as three successive remainders. The divisor is

A) 184
B) 224
C) 234
D) 296

166)

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

A) 60
B) 64
C) 70
D) 72

167)

is equal to

A)
B)
C)
D)

168)

is equal to

A) 10
B) 2
C)
D)

169)

After measuring 120 metres of a rope, it was discovered that the measuring metre rod was three centimeters longer. The true length of the rope measured is

A) 121 m 20 cm
B) 123 m 60 cm
C) 123 m
D) 116 m 40 cm

170)

The total number of integers between 200 and 400, each of which either begins with 3 or ends with 3 or both is

A) 10
B) 100
C) 110
D) 120

171)

is equal to

A) 32
B) 8
C) 1
D) 0

172)

If and , then is equal to

A) 0
B)
C) 1
D) 2

173)

If , then the value of is

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

174)

The rationalizing factor of is is

A)
B)
C)
D)

175)

(45+46+47+….+113+114+115) is equal to

A) 5600
B) 5656
C) 5680
D) 4000

176)

A 2-digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. The sum of the digits of the number is

A) 11
B) 9
C) 7
D) 5

177)

The sum of two numbers is 45. Their difference is of their sum. Their L.C.M is

A) 200
B) 250
C) 100
D) 150

178)

If , where a is a positive real number other than 1, then x is equal to

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

179)

The value of * in the sequence
is

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

180)

If , then is equal to

A) 38
B) 36
C) 34
D) 30

181)

The average of 6 observations is 45.5. If one new observation is added to the previous observations, then the new average becomes 47. The new observation is

A) 58
B) 56
C) 50
D) 46

182)

A man covers half of his journey at 6 km/hr and the remaining half at 3 km/hr. His average speed is

A) 9 km/hr
B) 4.5 km/hr
C) 4 km/hr
D) 3 km/hr

183)

There were 24 students in a class. One of them who was 18 years old, left the class and his place was filled up by a newcomer. If the average of the class thereby, was lowered by one month, the age of the newcomer is

A) 14 years
B) 15 years
C) 16 years
D) 17 years

184)

Rs. 395 are divided among A, B, C in such a manner that B gets 25% more than A and 20% more than C. The share of A will be

A) Rs. 195
B) Rs. 380
C) Rs. 98
D) Rs. 120

185)

The speed of a motor-boat is to that of the current of water as 36 : 5. The boat goes along with the current in 5 hours 10 minutes. It will come back in

A) 5 hours 50 minutes
B) 6 hours
C) 6 hours 50 minutes
D) 12 hours 10 minutes

186)

1 liter of water is added to liters of alcohol-water solution containing 40 % alcohol strength. The strength of alcohol in the new solution will be

A) 30%
B) 33%
C) %
D) %

187)

A and B are two fixed points 5 cm apart and C is a point an AB such that AC is 3 cm. If the length of AC is increased by 6%, the length of CB is decreased by

A) 6%
B) 7%
C) 8%
D) 9%

188)

In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidates passed in both the subjects, the number of candidates that appeared at the examination was

A) 3000
B) 3500
C) 4000
D) 5000

189)

The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, then the percentage of students, who do not get scholarship is

A) 50
B) 72
C) 75
D) 76

190)

The sum of the ages of a father and his son is 100 years now. 5 years ago their ages were in the ratio of 2 :1. The ratio of the ages of father and son after 10 years will be

A) 5 : 3
B) 4 : 3
C) 10 : 7
D) 3 : 5

191)

If a:b:c = 2:3:4 and 2a-3b+4c = 33, then the value of c is

A) 6
B) 9
C) 12
D)

192)

A liquid ‘P’ is times as heavy as water and water is times as heavy as another liquid ‘Q’. The amount of liquid ‘P’ that must be added to 7 liters of the liquid ‘Q’, so that the mixture may weigh as much as an equal volume of water, will be

A) 7 liters
B) liters
C) 5 liters
D) liters

193)

Simple interest on Rs. 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs. 400 at 5% per annum for a certain period of time. The period of time is

A) 4 years
B) 5 years
C) years
D) years

194)

Rs. 33630 are divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 7 and the ratio of the amount of B to that of C is 6 : 5. The amount of money received by B is

A) Rs. 14868
B) Rs. 16257
C) Rs. 13290
D) Rs. 12390

195)

The bus fare and train fare of a place from Kolkata were Rs. 20 and Rs. 30 respectively. Train fare has been increased by 20% and the bus fare has been increased by 10%. The ratio of new train fare to new bus fare is

A) 11 : 18
B) 18 : 11
C) 5 : 3
D) 3 : 5

196)

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side 3 cm to form a cone. The volume of the cone so formed is

A) 16π
B) 12π
C) 15π
D) 20π

Direction for questions 197 to 200: Given here is a multiple bar diagram depicting the changes in the students strength of a college in four faculties from 1990-91 to 1992-93. Study the diagram and answer the question 197-200.

197)

In which faculty was there a regular decrease in students’ strength?

A) Arts
B) Science
C) Commerce
D) Law

198)

The percentage of students in Science faculty in 1990-91 was

A) 26.9
B) 27.8
C) 29.6
D) 30.2

199)

The total students strength in 1991-92 was how many times that of Commerce students in the same year?

A) 3
B) 4
C) 5
D) 6

200)

What was the per cent increase in Science students from the year 1990-91 to 1992-93?

A) 50
B)
C) 75
D) 150