A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?
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The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)? |
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If (x2 /yz) + (y2 /zx) + (z2 /xy) = 3, then what is the value of (x + y + z)3 ? |
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If x1/4 + x-1/4 = 2, then what is the value of x81 + (1/x81 )? |
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If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 )? |
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If x2 + (1/x2 ) = 1, then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1? |
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In the given figure, PQRS is a trapezium in which PM||SN, NR=9cm,PS=12cm,QM=NR and NR=SN.What is the area (in cm2 )of trapezium? |
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In the given figure , PQR is an equilateral triangle and PS is the angle bisector $\angle$ P. What is the value of RT:RQ? |
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Two chords of length 20 cm and 24 cm are drawn perpendicular to each other in a circle of radius is 15 cm. What is the distance between the Points of intersection of these chords (in cm) from the center of the circle? |
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In the given figure,QRTS is a cyclic quadrilateral.If PT=5 cm,SQ=4cm and $/angle $ PQR=63º, then what is the value (in cm)of TR? |
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What is the simplified value of sin2 (90 – θ) – [{sin(90 – θ)sin θ}/tan θ]? |
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