CGL 2015 Morning shift maths questions and answers:

CGL 2015 Morning shift maths questions and answers:

101. The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).

(A) 65 (B) 66 (C) 43 (D) 67

102. What is the Arithmetic mean of the first 'n' natural numbers?

(A) (n +1)/2 (B) n^2(n+1)/2 (C) 2(n +1) (D) n(n +1) / 2

103. A shopkeeper bought 30 kg of rice at the rate of Rs70 per kg and 20 kg of rice at the rate of rs 70.75 per kg. If he mixed the two brand of rice and sold the mixture at rs 80.50 per kg, his gain is

(A) 510 (B) 525 (C) 485 (D) 450

104. The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was

(A) 5700 (B) 6000 (C) 7500 (D) 8000

105. A farmer travelled a distance of 61 km in 9 hrs. He travelled partly on foot at the rate of 4 km/hr and partly on bicycle at the rate of 9 km/hr. The distance travelled on foot is

(A) 17 km (B) 16 km (C) 15 km (D) 14 km

106. Walking at the rate of 4 kmph a man covers certain distance in 2 hrs 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes?

(A) 35 min. (B) 40 min. (C) 45 min. (D) 50 min.

107. In certain years a sum of money is doubled itself at 6 ¼ % simple interest 4 per annum, then the required time will be

1 (A) 12 ½ years (B) 8 years (C) 10 2/3 years (D)16 years

108. The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is

(A) 3 (B) 4 (C) 7 (D)5

109. The value of

1/(sqrt7- sqrt 6) - 1/(sqrt6- sqrt 5) + 1/(sqrt5- 2) -1/(sqrt8- sqrt 7) + 1/(3- sqrt 8) is

(A) 0 (B) 1(C) 5 (D) 7

110. If m = -4, n = -2, then the value of m^3 —3m^2 + 3m+ 3n +3n^2 +n^3 is

(A )124 (B) - 124 (C) 126 (D) -126

111. 2x - ky + 7=0 and 6x -12y + 15=0 has no solution for

(A) k = -4 (B) k = 4 (C) k = 1 (D) k = -1

112. Choose the incorrect relation(s) from the following:
(i) sqrt6 + sqrt2 = sqrt5 + sqrt3 (ii) sqrt6 + sqrt2 < sqrt5 + sqrt3 (iii) sqrt6 + sqrt2 > sqrt5 + sqrt3
(A) (i) (B) (ii) (C) (i) and (iii) (D) (ii) and (iii)

113. If x = 332, y = 333, z = 335, then the value of x^3 + y^3 + z^3-3xyz is
(A) 7000 (B) 8000 (C) 9000 (D) 10000

114. If 2+ x sqrt3 = 1/(2+ x sqrt3 ) , then the simplest value of x is

(A) 1 (B) –2 (C) 2 (D) -1

115.( m–a^2)/ (b^2+c^2) + ( m–b^2)/ (a^2+c^2) + ( m–c^2)/ (b^2+a^2) the value of m is
(A) a^2 + b^2 (B) a^2+b^2+c^2

116. The measure of an angle whose supplement is three times as large as its complement, is

(A) 30° (B) 45° (C) 60° (D) 75°

117. The sides of a triangle having area 7776 sq. cm are in the ratio 3:4:5. The perimeter of the triangle

(A) 400 cm (B) 412 cm (C) 424 cm (D) 432 cm

118. Two chords of length a unit and b unit of a circle make angles 60° and 90° at the centre of a circle respectively, then the correct relation is

(A) b=sqrt2 a (B) b=2a (C) b=sqrt3 a (D) b=3/2 a

119. In a parallelogram PQRS, angle P is four times of angle Q, then the measure of R is

(A) 36° (B) 72° (C) 130°(D) 144°

120. In triangle ABC, a line through A cuts the side BC at D such that BD:DC=4:5. If the area of triangle ABD=60cm^2 , then the area of triangle ADC is

(A) 50 cm^2(C) 75 cm^2

(B) 60 cm^2 (D) 90 cm^2

121. A tangent is drawn to a circle of radius 6 cm from a point situated at a distance of 10 cm from the centre of the circle. The length of the tangent will be

(A)4 cm (B) 5 cm (C) 8 cm (D) 7 cm

122. A ship after sailing 12 km towards south from a particular place covered 5 km more towards east. Then the straightway distance of the ship from that place is

(A) 18 km (B) 15 km (C) 13 km (D) 11 km

123. Two poles of height 7 m and 12 m stand on a plane ground. If the distance between their feet is 12 m, the distance between their top will be

(A) 13 m(B) 19 m (C) 17 m (D) 15 m

124. The maximum value of sin^4x + cos^4x is

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

125. Find the value of tan 4° tan 43° tan 47° tan 86°

(A)1 (B) ½ (C) 2 (D) 2/3

126. The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 & 7 are subtracted from the 3rd 4th, the numbers will be equal. The numbers are

(A) 4, 12, 12, 20 (B) 5, 11, 13, 19 (C) 6, 10, 14, 18 (D) 9, 7, 15, 17

127. The least number that should. be added to 2055, so that the sum is exactly divisible by 27:

(A)24 (B) 27 (C) 31 (D) 28

128. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is

(A) 12 (B) 9 (C) 15 (D) 10

129. A pipe can fill a tank in x hours and another can empty it in y hours. They can together fill it in (y > x)

(A) x – y (B) y – x (C) xy/(x-y) (D) xy/(y-x)

130. A tap can empty a tank in 30 minutes. A second tap can empty it in 45 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank?

(A) 18 minutes (B) 14 minutes (C) 15 minutes (D) 30 minutes

131. The perimeter of one face of a cube is 20 cm. Its volume will be

(A) 100 cm^3 (B)125 cm^3 (C) 400 cm^3 (D) 625 cm^3

132. If the area of a circle is A, radius of the circle is r and circumference of it is C, then

(A)rC = 2A (B) c/a = r/2 (C) AC= r^2/4 (D) A/R=C

133. A Square is inscribed in a quarter-circle In such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the centre, while the other two vertices lie on the circular arc. If the square has sides of length x, then radius of the circle is

A) 16x/(pi+4) (B)2x/sqrt pi (C) sqrt5 x/sqrt2 (D) sqrt 2 x

134. 10% discount and then 20% discount in succession is equivalent to total discount of
(A) 15 (B)30 (C)24 (D)28

135. The marked price of a watch was rs 720. A man bought the same for rs 550.80 after getting two successive discounts, the first being 10%. The second discount rate is

(A) 12% (B) 14% (C) 15% (D) 18%

136. Allowing 20% and 15% successive discounts, the selling price of an article becomes rs 3,060; then the marked price will be

(A) Rs4,400 (B) Rs5,000 (C) Rs4,500 (D) Rs4,000

137. Eighteen years ago, the ratio of A's age to B's age was 8:13. Their present ratio's are 5:7. What is the present age of A?

(A) 70 years (B) 50years (C) 40 years (D) 60 years

138. 729 ml of a mixture contains milk and water in the ratio 7:2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7:3?

(A) 60 ml (B) 71 ml (C) 52 ml (D) 81 ml

139. If sin x + sin^2x = 1 then cos^2x + cos^4x is equal to

(A) 1 (B) sinx/cos^x (C) Cos^2x/Sin x (D) None

140 If a clock started at noon, then the angle turned by hour hand at 3.45 PM is

(A) 104 ½ (B)97 ½ (C) 112 ½ (D) 117 ½

141. The numerical value of cos^2 45/sin^2 60 +cos^60/sin^2 45 – tan^2 30/cot^2 45 –sin^2 30/cot^2 30 is
(A) 3/4 (B) 1/4 (C) 1/2 (D) 1 ¼

142. If x cos y- sin y = 1, then x^2 + (1 + x^2) sin y equals

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

143. A 10 m long ladder is placed against a wall. It is inclined at an angle of 30° to the ground. The distance (in m) of the foot of the ladder from the wall is (Given sqrt3 = 1.732)

(A) 7.32 (B) 8.26 (C) 8.66 (D) 8.16

Directions : Study the following bar diagram carefully and answer the following Four Questions. The number of the production of electronic items (TVs and LCDs) in a factory during the period from 2009 to 2013.

144. The total number of production of electronic items is maximum in the year
(A) 2009 (B) 2010 (C)2011 (D) 2013

145. The ratio of production of LCDs in the year 2011 and 2013 is

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

146. The difference between averages of production of TVs and LCDs from 2009 to 2012 is

(A) 600 (B) 700 (C) 800 (D)900

147. The ratio of production of TVs in the years 2009 and 2010 is
(A)7:6 (B) 6:7 (C) 2:3 (D)3:2

The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answer the following Three Questions:

148. If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with rs 4,910 crores?

(A) Rs 6,213 crores (B) Rs 5,827 crores (C)Rs 5,401 crores (D) Rs5,316 crores

149. If NHAI could receive a total of Rs 9,695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds?

(A) 4.5% % (B)7.5% (C) 6% (D) 8%

150. The central angle corresponding Market Borrowing is

(A) 52° ) 137.8° (C) 187.2° (D) 192.4°

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