121. If the length of a diagonal of a of a square is 6√2 cm, then its area will be
A. 24 cm2
B. 36 cm2
C. 72 cm2
D. 24√2 cm2
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122. If , then find the value of
A. 27
B. 1
C. -1
D. 0
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123. In ΔABC, O is the orthocentre and ㄥBOC = 80°, the measure of ㄥBAC is
A. 90°
B. 80°
C. 100°
D. 120°
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124. If 11√n = √112 + √343, then the value of n is
A. 11
B. 13
C. 7
D. 3
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125. In two days A, B and C together can finish 1/2 of a work and in another 2 days B and C together can finish 3/10 part of the work. Then a alone can complete the whole work in
A. 10 days
B. 12 days
C. 14 days
D. 15 days
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126. Which of the following numbers is completely divisible by 99 ?
A. 51579
B. 51557
C. 55036
D. 49984
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127. Prabhat has done 1/2 of a job in 12 days. Santosh completes the rest of the job in 6 days. In how many days can they together do the job ?
A. 12 days
B. 4 days
C. 8 days
D. 16 days
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128. Ruchir walks at 20 km/hr. and rukma cycles at 25 km/hr. towards each other. What was the distance between them when they started if they meet after 48 minutes ?
A. 54 km
B. 45 km
C. 36 km
D. 27 km
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129. If 2apq = (p + q)2 – (p – q)2, then the value of a is
A. 2
B. 1
C. 4
D. 8
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130. What is the value of x for which the expressions 8x + 12 and 14x – 6 become equal ?
A. 1
B. 3
C. 6
D. 9
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131. Square of 3(6 -2x) is
A. 12x2 – 72x +108
B. 4x2 – 24x – 36
C. 108 – 72x – 12x2
D. 36x2 – 216x + 324
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132. If the shopkeeper sells an item at rs. 450 which is marked at rs. 600, then what is the discount he is offering ?
A. 33.33 par cent
B. 25 par cent
C. 20 par cent
D. 30 par cent
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133. To travel 648 km. an express train takes 12 hours more than that of rajdhani. If however, the speed of the express train is doubled, it takes 6 hours less than rajdhani the speed of rajdhani is
A. 36 km/hr
B. 18 km/hr
C. 45 km/hr
D. 27 km/hr
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134. A car travels a certain distance at 70 km/hr. And comes back at 30 km/hr. Find the average speed for total journey.
A. 42 km/hr
B. 50 km/hr
C. 34 km/hr
D. 58 km/hr
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135. The ten’s digit of a two-digit number is greater than the unit’s digit by 7.if we subtract 63 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.
A. 81
B. 18
C. 62
D. 26
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136. Find two numbers such that their mean proportion is 16 and third proportion is 1024.
A. 4 and 32
B. 4 and 64
C. 8 and 64
D. 8 and 32
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137. Find length of the arc whose central angle is 45. and rdius of the circle in 28 cm.
A. 11 cm
B. 33 cm
C. 44 cm
D. 22 cm
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138. If (9 – 3x) – (17x – 10) = 1, then the value of x is
A. 1
B. -1
C. 9/10
D. -9/10
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139. A can do a piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?
A. 42 3/4 days
B. 27 1/7 days
C. 17 1/7 days
D. 70 days
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140. The least number to be subtracted from 16800 to make it a perfect square is
A. 169
B. 219
C. 156
D. 249
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