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3201.

Find the center of a circle passing through the points ( 6,-6), ( 3, -7) and (3,3).

Answer» Find the center of a circle passing through the points ( 6,-6), ( 3, -7) and (3,3).
3202.

Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Find the distance between the centers.

Answer» Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Find the distance between the centers.
3203.

In a class of 45 students, a boy is ranked joined 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end ?

Answer» In a class of 45 students, a boy is ranked joined 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end ?
3204.

In the figure given alongside, a circle is inscribed in a square of side 4cm and another circle is circumscribing the square. Prove that the area of the circumscribed circle is two times the area of the inscribed circle.

Answer» In the figure given alongside, a circle is inscribed in a square of side 4cm and another circle is circumscribing the square. Prove that the area of the circumscribed circle is two times the area of the inscribed circle.

    3205.

    The remainder obtained when(19103+192) is divided by 20 is

    Answer»

    The remainder obtained when(19103+192) is divided by 20 is


    3206.

    What is the average of all the numbers allocated to the slots?___

    Answer» What is the average of all the numbers allocated to the slots?___
    3207.

    What could be the size of the team that includes G?

    Answer»

    What could be the size of the team that includes G?

    3208.

    As shown in the figure, triangle PAB is formed by the three tangents to the circle with center O and ∠APB=40∘.∠AOB equals:___

    Answer»
    As shown in the figure, triangle PAB is formed by the three tangents to the circle with center O and APB=40.AOB equals:___
    3209.

    In a college 50% students are boys out of which 40% have got 80% and above marks. Overall, 45% of all the students have got 80% and above marks. Find the percentage of girls who have got less than 80% marks.

    Answer»

    In a college 50% students are boys out of which 40% have got 80% and above marks. Overall, 45% of all the students have got 80% and above marks. Find the percentage of girls who have got less than 80% marks.

    3210.

    Approximately what was the ratio between average sales of States B & C respectively?

    Answer»

    Approximately what was the ratio between average sales of States B & C respectively?


    3211.

    If x, y, z are positive numbers such that x + [y] + {z} = 3.8, [x] + {y} + z = 3.2, {x} + y + [z] = 2.2, where [p] denotes the greatest integer less than or equal to p and {p} denotes the fractional part of p. E.g. [1.23] = 1, {1.23} = 0.23 = 23100. The numerical value of [x2+y2+z2] is -

    Answer»

    If x, y, z are positive numbers such that x + [y] + {z} = 3.8, [x] + {y} + z = 3.2, {x} + y + [z] = 2.2, where [p] denotes the greatest integer less than or equal to p and {p} denotes the fractional part of p. E.g. [1.23] = 1, {1.23} = 0.23 = 23100. The numerical value of [x2+y2+z2] is -


    3212.

    If the equation (3x)2+(27×31k−15)x+4=0 has equal roots, then k =

    Answer»

    If the equation (3x)2+(27×31k15)x+4=0 has equal roots, then k =

    3213.

    Two dices are thrown in simultaneously . How many results are possible for sum of values .

    Answer» Two dices are thrown in simultaneously . How many results are possible for sum of values .
    3214.

    In Fig. 13, a right circular cone of diameter r cm and height 12 cm rests on the base of a right circular cylinder of radius r cm. Their bases are in the same plane and the cylinder is filled with water upto a height of 12 cm. If the cone is then removed, find the height to which water level will fall.

    Answer» In Fig. 13, a right circular cone of diameter r cm and height 12 cm rests on the base of a right circular cylinder of radius r cm. Their bases are in the same plane and the cylinder is filled with water upto a height of 12 cm. If the cone is then removed, find the height to which water level will fall.
    3215.

    One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs.120 and a shirt. The price of the shirt is Rs.___. (Enter 0 in case of Cannot be determined)

    Answer» One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs.120 and a shirt. The price of the shirt is Rs.___. (Enter 0 in case of Cannot be determined)
    3216.

    How many integers are there from 500 to 2000 that leave a remainder of 2 on division by 5 and a remainder of 1 on division by 7?

    Answer»

    How many integers are there from 500 to 2000 that leave a remainder of 2 on division by 5 and a remainder of 1 on division by 7?


    3217.

    How many people having middle school, but not high school, education play only football ?___

    Answer» How many people having middle school, but not high school, education play only football ?___
    3218.

    A group of students equal in number to the square root of half the whole class is selected for a project. Two more students were selected as captain and vice captain. Rest of the class which form 89 th of class were given leave. Find the total number of students in the class?

    Answer»

    A group of students equal in number to the square root of half the whole class is selected for a project. Two more students were selected as captain and vice captain. Rest of the class which form 89 th of class were given leave. Find the total number of students in the class?


    3219.

    What is the maximum number of girls who opted for Cooking Classes?

    Answer»

    What is the maximum number of girls who opted for Cooking Classes?


    3220.

    L and M make an appointment to meet on 20th Nov. 2005 at the CAT examination centre, but without fixing anything other than that the appointment is between 10 a.m. to 11 a.m. They decide to wait no longer than 10 minutes for each other. Assuming that each is independently likely to arrive at any time during the hour, find the probability that they will meet.

    Answer»

    L and M make an appointment to meet on 20th Nov. 2005 at the CAT examination centre, but without fixing anything other than that the appointment is between 10 a.m. to 11 a.m. They decide to wait no longer than 10 minutes for each other. Assuming that each is independently likely to arrive at any time during the hour, find the probability that they will meet.

    3221.

    Composer: The works of Mozart’s sister, Maria Anna Mozart (nicknamed Nannerl), unfortunately have not survived to the present-day. However, there is evidence as a child she travelled between European cities with her famous brother, showcasing her considerable harpsichord and pianoforte skills. Had her work survived, it’s likely posterity would have recognized two genius Mozarts, rather than one. Which of the following best suggests that the conclusion suggested by the composer is justified?

    Answer» Composer: The works of Mozart’s sister, Maria Anna Mozart (nicknamed Nannerl), unfortunately have not survived to the present-day. However, there is evidence as a child she travelled between European cities with her famous brother, showcasing her considerable harpsichord and pianoforte skills. Had her work survived, it’s likely posterity would have recognized two genius Mozarts, rather than one.

    Which of the following best suggests that the conclusion suggested by the composer is justified?
    3222.

    In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true. Statements : Z D, Fc D F $ G Conclusions: I. D c G II. Z G

    Answer»

    In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.
    Statements : Z D, Fc D F $ G
    Conclusions:
    I. D c G II. Z G


    3223.

    Sarvesh visited Mumbai on which day of the week (starting from Monday and ending on Sunday of the same week)? I. Sarvesh visited Mumbai two days after his brother visited Chennai. II. Sarvesh did not visit Mumbai either on Wednesday or on Friday.

    Answer»

    Sarvesh visited Mumbai on which day of the week (starting from Monday and ending on Sunday of the same week)?

    I. Sarvesh visited Mumbai two days after his brother visited Chennai.

    II. Sarvesh did not visit Mumbai either on Wednesday or on Friday.


    3224.

    If an be the nth term of an AP and If a10 = 10, then the value of the common difference that would make a8a10a12 greatest is

    Answer»

    If an be the nth term of an AP and If a10 = 10, then the value of the common difference that would make a8a10a12 greatest is


    3225.

    From a window (h m high above the ground) of a house in a street, the angles of elevations and depression of the top and front of another house on the opposite side of the street are θ and ϕ respectively, show that the height of the opposite house is h(1+tanθ.cotϕ)m

    Answer»

    From a window (h m high above the ground) of a house in a street, the angles of elevations and depression of the top and front of another house on the opposite side of the street are θ and ϕ respectively, show that the height of the opposite house is h(1+tanθ.cotϕ)m

    3226.

    The roots of the equation (x+10)(x+1)+19 is given by a and b. The greater ratio of roots of (x+a)(x+b)-11 is ___. (The answer will be of p/q form where p and q are integers, then input 'pq' in the provided space.)

    Answer» The roots of the equation (x+10)(x+1)+19 is given by a and b. The greater ratio of roots of (x+a)(x+b)-11 is ___. (The answer will be of p/q form where p and q are integers, then input 'pq' in the provided space.)
    3227.

    Ram and Shyam work on a job together and finish 60% of it. Ram takes leave after 4 days and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?

    Answer»

    Ram and Shyam work on a job together and finish 60% of it. Ram takes leave after 4 days and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?


    3228.

    The mean deviation of a3+b3ana3+b3 and a3−b3 (when (a & b>0)) is:

    Answer» The mean deviation of a3+b3ana3+b3 and a3b3 (when (a & b>0)) is:
    3229.

    The expenditure of time, money and sparse judicial and prosecutorial resources is often justified by claims of a powerful deterrent message embodied in the ultimate punishment- the death penalty. But studies repeatedly suggest that there is no meaningful deterrent effect associated with the death penalty and further, any deterrent impact is no doubt greatly diluted by the amount of time that inevitably passes between the time of the conduct and the punishment. In 2010, the average time between sentencing and execution in the United States averaged nearly 15 years.

    Answer» The expenditure of time, money and sparse judicial and prosecutorial resources is often justified by claims of a powerful deterrent message embodied in the ultimate punishment- the death penalty. But studies repeatedly suggest that there is no meaningful deterrent effect associated with the death penalty and further, any deterrent impact is no doubt greatly diluted by the amount of time that inevitably passes between the time of the conduct and the punishment. In 2010, the average time between sentencing and execution in the United States averaged nearly 15 years.
    3230.

    The bisectors at opposites ∠s A and C of a cyclic quadrilateral ABCD intersect the circle at E and F respectively. Prove that EF is a diameter of the circle undefinedundefinedundefinedundefined

    Answer» The bisectors at opposites s A and C of a cyclic quadrilateral ABCD intersect the circle at E and F respectively. Prove that EF is a diameter of the circle

    1. undefined
    2. undefined
    3. undefined
    4. undefined
    3231.

    If non-zero numbers a,b,c are in H.P., then the straight line x/a + y/b + 1/c= 0 always passes through a fixed point, which is

    Answer» If non-zero numbers a,b,c are in H.P., then the straight line x/a + y/b + 1/c= 0 always passes through a fixed point, which is
    3232.

    The number of items of type I produced by company N in the month April was approximately what percentage of the number of items of type 2 produced by company N in the month of March?

    Answer»

    The number of items of type I produced by company N in the month April was approximately what percentage of the number of items of type 2 produced by company N in the month of March?

    3233.

    Maria is on the 23rd position from the starting and on 37th position from the end in his class. He is on 18th position from the starting and on 23rd position from the end among the students who passed. How many students failed?

    Answer»

    Maria is on the 23rd position from the starting and on 37th position from the end in his class. He is on 18th position from the starting and on 23rd position from the end among the students who passed. How many students failed?


    3234.

    Find the least number which when divided by 2,3,4,5, and 6 leaves a reminder of 1 in each case but when divided by 7 leaves no remainder.

    Answer»

    Find the least number which when divided by 2,3,4,5, and 6 leaves a reminder of 1 in each case but when divided by 7 leaves no remainder.

    3235.

    A number when divided by by 9 gives 8 as a remainder. What will be the remainder obtained when the same number is divided by 3.

    Answer»

    A number when divided by by 9 gives 8 as a remainder. What will be the remainder obtained when the same number is divided by 3.


    3236.

    Three circles C1, C2 and C3 having diameters 3 cm, 4 cm and 5 cm are intersecting each other such that their diameters form a triangle. If the area common to circles C1 and C2, C2 and C3, C3 and C1 are a, b and c respectively then find the area common to all the three circles.

    Answer»

    Three circles C1, C2 and C3 having diameters 3 cm, 4 cm and 5 cm are intersecting each other such that their diameters form a triangle. If the area common to circles C1 and C2, C2 and C3, C3 and C1 are a, b and c respectively then find the area common to all the three circles.

    3237.

    The below question consists of a question figure and followed by four figures (a), (b), (c) and (d). Choose one out of these four figures that can replace ‘?’ to complete the question figure.

    Answer»

    The below question consists of a question figure and followed by four figures (a), (b), (c) and (d). Choose one out of these four figures that can replace ‘?’ to complete the question figure.


    3238.

    bake never store 51 26 33 age 49 Which of the following will be step V?

    Answer»

    bake never store 51 26 33 age 49

    Which of the following will be step V?


    3239.

    Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 } T = {2, 3, 9} V = {8, 9, 10 }. Find (T′∪V)′

    Answer»

    Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 } T = {2, 3, 9} V = {8, 9, 10 }.
    Find
    (TV)


    3240.

    If the pass code for 5 p.m. to 6 p.m. is 'out in above over the field end', what will be the pass code for 1 p.m. to 2 p.m.?

    Answer»

    If the pass code for 5 p.m. to 6 p.m. is 'out in above over the field end', what will be the pass code for 1 p.m. to 2 p.m.?


    3241.

    A, B and C shoot to hit a target. If A hits the target 4 times in 5 trials, B hits it 3 times in 4 trials and C hits it 2 times in 3 trials. What is the probability that the target is hit by atleast 2 persons?

    Answer»

    A, B and C shoot to hit a target. If A hits the target 4 times in 5 trials, B hits it 3 times in 4 trials and C hits it 2 times in 3 trials. What is the probability that the target is hit by atleast 2 persons?

    3242.

    Find the number of zeroes at the end of 10*9*8*7*6*5*4*3*2*1

    Answer»

    Find the number of zeroes at the end of 10*9*8*7*6*5*4*3*2*1

    3243.

    The length of a rectangle is decreased by 20% and breadth increased by 20%. The area will

    Answer»

    The length of a rectangle is decreased by 20% and breadth increased by 20%. The area will

    3244.

    What is the measure of 1 angle of a regular pentagon (in degrees)? ___

    Answer»

    What is the measure of 1 angle of a regular pentagon (in degrees)?

    ___
    3245.

    Q. You are the head of the Human Resources department of an organisation. One day one of the workers died on duty. His family was demanding compensation. However, the company denied compensation because it was revealed in an investigation that he was drunk at the time of the accident. The workers of the company went on strike demanding compensation for the family of the deceased. The Chairman of the Management board has asked for your recommendation. What recommendations would you provide the management? Discuss the merits and demerits of each of the recommendations.

    Answer»

    Q. You are the head of the Human Resources department of an organisation. One day one of the workers died on duty. His family was demanding compensation. However, the company denied compensation because it was revealed in an investigation that he was drunk at the time of the accident. The workers of the company went on strike demanding compensation for the family of the deceased. The Chairman of the Management board has asked for your recommendation.

    What recommendations would you provide the management?

    Discuss the merits and demerits of each of the recommendations.

    3246.

    The digits of a positive number, of three digits are in A.P. and their sum is 15.The number obtained by reversing the digits is 594 less than the original number. Find the number.

    Answer» The digits of a positive number, of three digits are in A.P. and their sum is 15.The number obtained by reversing the digits is 594 less than the original number. Find the number.
    3247.

    Why can Carnot engine not have 100% efficiency?

    Answer» Why can Carnot engine not have 100% efficiency?
    3248.

    Two coins are kept in a square of side 1 as shown in the diagram. The sum of the radii of coins is

    Answer»

    Two coins are kept in a square of side 1 as shown in the diagram. The sum of the radii of coins is


    3249.

    Eight friends namely A,B,C,D,E,F,G and H bought the same commodity. The barcode printed on the commodity read : Whose commodity does the article number Dsdf23231df54s3321ef84b refer to ?

    Answer»

    Eight friends namely A,B,C,D,E,F,G and H bought the same commodity.

    The barcode printed on the commodity read :

    Whose commodity does the article number Dsdf23231df54s3321ef84b refer to ?


    3250.

    How many non-zero integral values of X, Y and Z are there, such that Z2=X2+Y2 and Z2≤100?___

    Answer» How many non-zero integral values of X, Y and Z are there, such that Z2=X2+Y2 and Z2100?___