CAT рдкреНрд░рд╢реНрди рдФрд░ рдЙрддреНрддрд░ рдХрд╛ рдЕрднреНрдпрд╛рд╕ рдХрд░реЗрдВ

рдкреНрд░: Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 1075 0

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    14.69 cm
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    15.69 cm
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    18.65 cm
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    16.42 cm
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рдЙрддреНрддрд░ : 2. "15.69 cm"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :

Answer: B) 15.69 cm Explanation: Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC perpendicular to both chords. That divides the two chords in half.So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.We are given that BC = 5, the distance between the two chords. LetOB = x. We use the Pythagorean theorem on right triangle ABO AO┬▓ = AB┬▓ + OB┬▓ r┬▓ = 14┬▓ + x┬▓ We use the Pythagorean theorem on right triangle DCO DO┬▓ = CD┬▓ + OC┬▓ We see that OC = OB+BC = x+5, so r┬▓ = 10┬▓ + (x+5)┬▓ So we have a system of two equations: r┬▓ = 14┬▓ + x┬▓ r┬▓ = 10┬▓ + (x+5)┬▓ Since both left sides equal r┬▓, set the right sidesequal to each other. 14┬▓ + x┬▓ = 10┬▓ + (x+5)┬▓ 196 + x┬▓ = 100 + x┬▓ + 10x + 25 196 = 125 + 10x 71 = 10x 7.1 = x r┬▓ = 14┬▓ + x┬▓ r┬▓ = 196 + (7.1)┬▓ r┬▓ = 196 + 50.41 r┬▓ = 246.41 r = тИЪ246.41 r = 15.69745202 cm

рдкреНрд░: Population of a colony of mosquitoes is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ? 1736 0

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    Thursday
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    Friday
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    Tuesday
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    Monday
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рдЙрддреНрддрд░ : 1. "Thursday"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :

Answer: A) Thursday Explanation: Given monday population = 3000Per day 20% increase in population. Tuesday population = 3000 + 3000x20/100 = 3000 + 600 = 3600 Wednesday population =3600 + 3600x20/100 = 3600 + 720 = 4320 Thursday population = 4320 + 4320x20/100 = 4320 + 864 = 5184 So that day is Thursday.

рдкреНрд░: An express train takes 4 seconds to enter tunnel which is 1 km long. If it is traveling at 108 km an hour, how long will it take to pass completely through the tunnel ? 1442 0

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    33 sec
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    37.33 sec
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    36.43 sec
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    32 sec
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рдЙрддреНрддрд░ : 2. "37.33 sec"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :

Answer: B) 37.33 sec Explanation: Speed = 108 km/hrenter a tunnel,, means that the train covers a distance equal to its own lengthso (108 x 5/18) = x/4 where x= length of trainhence x = 120 mtrsto pass completely train has to travel a distance = (x + tunnel length) that is 1120 mtrs.so (1120/t) = (108x5/18)t = 37.33 sec

рдкреНрд░: Three strategies P, Q and R have been initiated for cost cutting in a company producing respectively 20%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved ? 1914 0

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    49.6%
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    50.4%
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    33.67%
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    66.66%
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рдЙрддреНрддрд░ : 1. "49.6%"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :

Answer: A) 49.6% Explanation: As these three strategies P, Q and R are independent so these will cut cost one after the other.If initial cost is Rs 100, then20% cost is cut after initializing strategy P, then cost will remain 80% = 80further 30% cost is cut after strategy Q, then cost will remain 70% of 80 = 56further 10% cost is cut after strategy R, then cost will remain 90% of 56 = 50.4 Thus final cost remains 50.4 % of the original cost. Hence net saving is 100 - 50.4 = 49.6 %.

рдкреНрд░: The market was full of people тАжтАжтАж.. attractive clothes of different styles. 43333 0

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    showing
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    watching
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    Having
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    wearing
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рдЙрддреНрддрд░ : 4. "wearing"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :

Answer: D) wearing Explanation: The market was full of people wearing attractive clothes of different styles.

рдкреНрд░: A group of men can complete a job in K hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of K ? 3493 0

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    7 hrs
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    7.5 hrs
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    8 hrs
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    8.25 hrs
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рдЙрддреНрддрд░ : 2. "7.5 hrs"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :

Answer: B) 7.5 hrs Explanation: Let there are L men job requires LK man hours.   job completed in first 4 hrs = L x 4 = 4L job completed in next 4 hrs = 4 x L/2 = 2L job completed in next 4 hrs = 4 x L/4 = L job completed in last 4 hrs = 4 x L/8 = L/2 4L + 2L + L + L/2 = KL K = 7+1/2 = 7.5 hours.

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рдЙрддреНрддрд░ : 4. "E = 4 & Y = 2"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :

Answer: D) E = 4 & Y = 2 Explanation: Let the the age of the elder boy = E   Let the the age of the younger boy = Y   Given that Y = cube root of EY   => Y3 = EY => E = Y2 .....(1)By the condition of number replacement the age of the father is YE   The Mother's age = EY/2   But she is 3 years less than father => EY/2 + 3 = YE2YE = EY + 6 ......(2)   Then now from the given options we can identify which satisfies the all the conditions.   Here Y =2 and E = 4 satisfies all the conditions.

рдкреНрд░: 5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ? 3281 0

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    24 and 13 years
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    48 and 24 years
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    35 and 11 years
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    33 and 15 years
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рдЙрддреНрддрд░ : 3. "35 and 11 years"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :

Answer: C) 35 and 11 years Explanation: Let the age of sushma be x and the age of her son is yThen five years before x-5=5(y-5) ...(1)Five years hence x+5 = 3(y+5)-8 .....(2) By soving (1) & (2), we get5y - 15 = 3y + 7y = 11 => x = 35 Therefore, the age of Sushma = 35 and her son = 11.

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рдХреГрдкрдпрд╛ рд╕рдВрджреЗрд╢ рджрд░реНрдЬ рдХрд░реЗрдВ
рддреНрд░реБрдЯрд┐ рд░рд┐рдкреЛрд░реНрдЯ рд╕рдлрд▓рддрд╛рдкреВрд░реНрд╡рдХ рдЬрдорд╛ рд╣реБрдИ

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рддреНрд░реБрдЯрд┐ рд░рд┐рдкреЛрд░реНрдЯ рд╕рдлрд▓рддрд╛рдкреВрд░реНрд╡рдХ рдЬрдорд╛ рд╣реБрдИ

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рдХреГрдкрдпрд╛ рд╕рдВрджреЗрд╢ рджрд░реНрдЬ рдХрд░реЗрдВ
рддреНрд░реБрдЯрд┐ рд░рд┐рдкреЛрд░реНрдЯ рд╕рдлрд▓рддрд╛рдкреВрд░реНрд╡рдХ рдЬрдорд╛ рд╣реБрдИ

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рддреНрд░реБрдЯрд┐ рд░рд┐рдкреЛрд░реНрдЯ рд╕рдлрд▓рддрд╛рдкреВрд░реНрд╡рдХ рдЬрдорд╛ рд╣реБрдИ

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рдХреГрдкрдпрд╛ рд╕рдВрджреЗрд╢ рджрд░реНрдЬ рдХрд░реЗрдВ
рддреНрд░реБрдЯрд┐ рд░рд┐рдкреЛрд░реНрдЯ рд╕рдлрд▓рддрд╛рдкреВрд░реНрд╡рдХ рдЬрдорд╛ рд╣реБрдИ

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рдХреГрдкрдпрд╛ рд╕рдВрджреЗрд╢ рджрд░реНрдЬ рдХрд░реЗрдВ
рддреНрд░реБрдЯрд┐ рд░рд┐рдкреЛрд░реНрдЯ рд╕рдлрд▓рддрд╛рдкреВрд░реНрд╡рдХ рдЬрдорд╛ рд╣реБрдИ

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рдХреГрдкрдпрд╛ рд╕рдВрджреЗрд╢ рджрд░реНрдЬ рдХрд░реЗрдВ
рддреНрд░реБрдЯрд┐ рд░рд┐рдкреЛрд░реНрдЯ рд╕рдлрд▓рддрд╛рдкреВрд░реНрд╡рдХ рдЬрдорд╛ рд╣реБрдИ