CAT प्रश्न और उत्तर का अभ्यास करें

प्र: In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ? 2967 0

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    76
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  • 2
    54
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  • 3
    64
    सही
    गलत
  • 4
    48
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    गलत
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उत्तर : 2. "54"
व्याख्या :

Answer: B) 54 Explanation: Let R, G and B represent the number of balls in red, green and blue boxes respectively. Then, . R + G + B = 108 ...(i), G + R = 2B ...(ii) B = 2R ...(iii) From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R. Putting G = 3R and B = 2R in (i), we get: R + 3R + 2R = 108 6R = 108 R = 18. Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

प्र: A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ? 2966 0

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    22/7 x 24/35
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  • 2
    22/7 x 36 x 4
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  • 3
    22/7 x 36/5
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  • 4
    22/7 x 37/21
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उत्तर : 1. "22/7 x 24/35"
व्याख्या :

Answer: A) 22/7 x 24/35 Explanation: Since level of water increased in cylinder by height 4.  This is because of the rectangular block .   Therefore , area of rectangular block immersed in water is  = 227×6×6×4   Thats why portion of block immersed in water is  = (22/7 * 36 * 4) / total vol. of rectangle  = (22/7 * 36 * 4)/ (7*5*6)  = (22/7 * 24)/ 35.

प्र: The number of permutations of the letters of the word 'MESMERISE' is  ? 2966 0

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    9!/(2!)^{2}x3!
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  • 2
    9! x 2! x 3!
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  • 3
    0
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  • 4
    None
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उत्तर : 1. "9!/(2!)^{2}x3!"
व्याख्या :

Answer: A) 9!/(2!)^{2}x3! Explanation: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.Number of arrangements = 9!(2!)2×3!

प्र: At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ? 2962 0

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    60
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  • 2
    74
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  • 3
    82
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  • 4
    58
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उत्तर : 1. "60"
व्याख्या :

Answer: A) 60 Explanation: Let, no. of rice bowl = xno. of dal bowl = yno. of meat bowl = z Then, x + y + z = 65 ....(1) Also given that, 2x = 3y = 4z substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),We get x = 30. As 1 rice bowl is shared between 2 guests, Therefore, there are 60 guests.

प्र: Which is the point from where an azimuth originates? 2953 0

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    South
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  • 2
    North
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  • 3
    East
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  • 4
    West
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उत्तर : 2. "North"
व्याख्या :

Answer: B) North Explanation: The azimuth originates at true North i.e, the azimuth originates from the north point. It is a measure of how far an object forms the observer's north point.   Azimuth is a technical mapping term which is used to describe the direction of an angle between north and south on a compass circle through which the circle line passes. It is the most common military method to express direction. When using an azimuth, the point from which the azimuth originates is the center of an imaginary circle.

प्र: C U B A E D E D A B E B A U C D B C A D B D U B C A C B E D A    If all the A's are dropped from the above arrangement, which of the following will be eleventh from the left end of the above arrangement? 2950 0

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    E
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  • 2
    C
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  • 3
    D
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  • 4
    U
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उत्तर : 4. "U"
व्याख्या :

Answer: D) U Explanation: If all the A's are dropped from the above arrangement, we get   C U B E D E D B E B U C D B C D B D U B C C B E D.    Here the eleventh from the left end of the above arrangement is U

प्र: Cube root of 729 then square it 2944 0

  • 1
    9
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  • 2
    36
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  • 3
    81
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  • 4
    144
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उत्तर : 3. "81"
व्याख्या :

Answer: C) 81 Explanation: 729 = 9 x 9 x 9 => Cube root of 729 = 9   Now, required square of 9 = 9 x 9 = 81.

प्र: Poison glands of snakes are homologous to 2942 0

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    sebaceous glands of mammals
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  • 2
    salivary glands of vertebrates
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    stings of rays
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  • 4
    electric organs of fishes
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उत्तर : 2. "salivary glands of vertebrates"
व्याख्या :

Answer: B) salivary glands of vertebrates Explanation: Here Homologous Means having the same relation or relative position or structure.  Here in snakes poison is in glands and here salivary glands are in Vertebrates.

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