121. The mean of 10 observations is 16. On checking it was found that 2 observations were wrongly copied as 4 and 6 in place of 8 and 7. The correct mean is –
(A) 17
(B) 16.5
(C) 16
(D) 15.5
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122. The angle of depression of two ships from the top of light house situated at 60 m height from sea level, are 30° and 45° If two ships are on the same side of the light house, then the distance between two ships is
(A) 60(√3 + 1) m
(B) 60(√3-1) m
(C) 60 √3 m
(D) (60 + √3) m
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123. If the following bar graph represent the number of students enrollad in different faculties in a college, then what is total number of students enrolled in the college ?
(A) 500
(B) 1800
(C) 1250
(D) 1000
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124. A pole of 24 m height which cast the shadow of length 8√5 m. The angle of elevation of the sun is –
(A) 90°
(B) 60°
(C) 45°
(D) 30°
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125. If p= sine θ + cos θ and q= sec θ + cosec θ, then q(p2-1) is –
(A) 4p
(B) 3p
(C) 2P
(D) p
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126.The angle in radians between the hands of a clock at 7:20 P.M. is –
(A) 5π/9 radians
(B) 7π/9 radians
(C) 7π/5 radians
(D) 5π/7 radians
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127. In a Δ ABC, D is the mid-point of side AC and BD=1/2AC, then ∠ABC is.
(A) 120°
(B) 90° .
(C) 60°
(D) 45°
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128. In the given figure ABCD is a cyclic quadrilateral, if ∠AOC = 130° then ∠ABC is –
(A) 60°
(B) 50°
(C) 65°
(D) 115°
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129. The score of a batsman in 10 innings are : 38, 70, 48, 34, 42, 55, 63, 46, 54, 44. What is the mean deviation about the median’?
(A) 64
(B) 58.4
(C) 8.6
(D) 86
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130. Following is the distribution of earnings of 200 workers in a flour mill:
monthly wages (in Rupees) | 80-100 | 100-120 | 120-140 | 140-160 | 160-180 |
No. of workers | 20 | 30 | 20 | 40 | 90 |
The average earnings of the workers is –
(A) ₹ 160
(B) ₹ 155
(C) ₹ 150
(D) ₹ 145
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131. In figure, if ∠ ABC=65° and ∠ ACB =35° then ∠ BDC is-
(A) 55°
(B) 25°
(C) 80°
(D) 100°
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132. The angle between the bisectors of two adjacent supplementary angles is –
(A) Straight angle
(B) Right angle
(C) Obtuse angle
(D) Acute angle
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133. The area of the base of a right circular cone is 28.26 m2 and its height is 4 m then its curved surface area is – (Use π = 3,14)
(A) 47.14m2
(B) 47.10m2
(C) 45.10m2
(D) 40mm2
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134. How many liters of water can be filled in a cuboidal water tank 2 m long, 5m wide and 1.5 m deep ?
(A) 15 liters
(B) 15000 liters
(C) 1500 liters
(D) 150 liters
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135. Which single discount is equivalent to two successive discount of 10% and 30% ?
(A) 38%
(B) 37%
(C) 35%
(D) 40%
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136. Simple interest on ₹ 24,000 at 81/2% annum for 8 months is
(A) ₹ 1360
(B) ₹ 1480
(C) ₹ 1620
(D) ₹ 1560
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137. Suresh and Mahesh started a business by investing ₹ 1,15,000 and ₹ 1,85,000 respectively. Out of a total profit of ₹ 18,000 Mahesh’s share is –
(A) ₹ 11,500
(B) ₹ 11,100
(C) ₹ 9,000
(D) ₹ 6,900
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138. If in two ΔABC and ΔPQR, AB/QR = BC/PR = CA/PQ, then which of the following is true ?
(A) ΔBCA ~ ΔPQR
(B) ΔCBA ~ ΔPOR
(C) ΔPQR ~ ΔABC
(D) ΔPQR ~ ΔCAB
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139. One side of a rectangular field is 5 m and its diagonal is 13 m, then the area of the field is –
(A) 32.5 m2
(B) 18 m2
(C) 60 m2
(D) 65 m2
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140. Distance between the points (3, 6) and (0, 0).is –
(A) 3√5 units
(B) √35 units
(C) 5 units
(D) √46 units
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