CAT Practice Question and Answer

Q: The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ? 1576 0

  • 1
    55.12 cm
    Correct
    Wrong
  • 2
    22.54 cm
    Correct
    Wrong
  • 3
    42.51 cm
    Correct
    Wrong
  • 4
    38.57 cm
    Correct
    Wrong
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Answer : 4. "38.57 cm"
Explanation :

Answer: D) 38.57 cm Explanation: We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cmGiven perimeter of square is twice the perimeter of rectangle = 2(30) = 60cmTherefore, side of the square is = 1/4 x 60 = 15cmCircumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.

Q: What kind of crystalline solid is graphite? 1576 0

  • 1
    Metallic
    Correct
    Wrong
  • 2
    Ionic
    Correct
    Wrong
  • 3
    Molecular
    Correct
    Wrong
  • 4
    Covalent- network
    Correct
    Wrong
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Answer : 4. "Covalent- network"
Explanation :

Answer: D) Covalent- network Explanation: Graphite is a covalent-network type of crystalline solid.   There are two main categories of solids. 1. Crystalline solids and 2. Amorphous solids. Crystalline solids are those in which the atoms, ions, or molecules that make up the solid exist in a regular, well-defined arrangement. There are four types of crystalline solids : Ionic solids :— Made up of positive and negative ions and held together by electrostatic attractions. They’re characterized by very high melting points and brittleness and are poor conductors in the solid state. An example of an ionic solid is table salt, NaCl. Molecular solids :— Made up of atoms or molecules held together by London dispersion forces, dipole-dipole forces, or hydrogen bonds. Characterized by low melting points and flexibility and are poor conductors. An example of a molecular solid is sucrose. Covalent-network (also called atomic) solids :— Made up of atoms connected by covalent bonds; the intermolecular forces are covalent bonds as well. Characterized as being very hard with very high melting points and being poor conductors. Examples of this type of solid are diamond and graphite, and the fullerenes. As you can see below, graphite has only 2-D hexagonal structure and therefore is not hard like diamond. The sheets of graphite are held together by only weak London forces! Metallic solids :— Made up of metal atoms that are held together by metallic bonds. Characterized by high melting points, can range from soft and malleable to very hard, and are good conductors of electricity.

Q: 'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ? 1575 0

  • 1
    32.1 km
    Correct
    Wrong
  • 2
    15.23 km
    Correct
    Wrong
  • 3
    3.75 km
    Correct
    Wrong
  • 4
    32.1 m
    Correct
    Wrong
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Answer : 3. "3.75 km"
Explanation :

Answer: C) 3.75 km Explanation: Let 'd' be the distance between A and BK -time = d/10 + d/9 = 19d/90 hoursL -time = 2d/12 = d/6 hoursWe know that, 10 min = 1/6 hoursThus, time difference between K and L is given as 10 minutes. => 19d/90 - d/6 = 1/6=> (19d-15d)/90 = 1/6=> 4d/90 = 1/6Thus,d= 15/4 km = 3.75 km. hence the distance between A and B is 3.75 km.

Q: The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ? 1575 0

  • 1
    Rs. 6000
    Correct
    Wrong
  • 2
    Rs. 5550
    Correct
    Wrong
  • 3
    Rs. 7500
    Correct
    Wrong
  • 4
    Rs. 6580
    Correct
    Wrong
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Answer : 1. "Rs. 6000"
Explanation :

Answer: A) Rs. 6000 Explanation: Let the sum invested be Rs. P Let the rate of interest be R% per annum => Interest earned for 5 years = (P x 5 x R/100) = PR/20 Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)% => SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100 Hence, PR/20 + 10P/100 = PR/20 + 600 => P = 6000 Therefore, the sum invested is Rs. 6000

Q: The G-7 is a group consisting of  ? 1574 0

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    the heads of the states of US, UK, France, Germany, Italy, Canada and Japan
    Correct
    Wrong
  • 2
    the heads of the states of US, UK, France, Germany, Russia, Italy and Japan
    Correct
    Wrong
  • 3
    the finance ministers of US, UK, France, Germany, Italy, Canada and Japan
    Correct
    Wrong
  • 4
    the heads of the states of US, UK, France, Germany, Russia, Canada and Japan
    Correct
    Wrong
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Answer : 3. "the finance ministers of US, UK, France, Germany, Italy, Canada and Japan"
Explanation :

Answer: C) the finance ministers of US, UK, France, Germany, Italy, Canada and Japan Explanation: The finance ministers of US, UK, France, Germany, Italy, Canada and Japan is called as G-7 group.

Q: The Simon commission visited India in the year? 1574 0

  • 1
    1933
    Correct
    Wrong
  • 2
    1939
    Correct
    Wrong
  • 3
    1921
    Correct
    Wrong
  • 4
    1927
    Correct
    Wrong
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Answer : 4. "1927"
Explanation :

Answer: D) 1927 Explanation: The British government appointed a commission under the chairmanship of Sir John Simon to report on India's constitutional progress for introducing constitutional reforms as had been promised in 1927.

Q: What is the Probability of all cars not clashing each other ? 1574 0

  • 1
    1/8
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    1/4
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 3. "1/4"
Explanation :

Answer: C) 1/4 Explanation: Non collision can happen only when all the cars move in same direction. That is either all cars moving in clockwise direction or all cars moving in anti clockwise direction.P(all cars not colliding) = P(all cars moving in the same direction) = P(all cars moving in clockwise direction)  +  P(all cars moving in anticlockwise direction) = [p(A --> C) x p(C --> B) x p(B --> A)]  +  [p(A --> B) x p(B --> C) x p(C --> A)] = [1/2 x 1/2 x 1/2] + [1/2 x 1/2 x 1/2] = 1/8 + 1/8 = 1/4

Q: Sagarmatha friendship is between which two countries ? 1574 0

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    Pakistan & China
    Correct
    Wrong
  • 2
    Nepal & India
    Correct
    Wrong
  • 3
    India & China
    Correct
    Wrong
  • 4
    China & Nepal
    Correct
    Wrong
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Answer : 4. "China & Nepal"
Explanation :

Answer: D) China & Nepal Explanation: The first ever joint military exercise named 'Sagarmatha Friendship-2017' is all set between Nepal and China. Sagarmatha is the Nepali name for Mt Everest, which stands in between both the countries.

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