CAT Practice Question and Answer

Q: Raghu earns 25% on an investment but loses 10% on another investment. If the ratio of the two investment is 3:5. What is the gain or loss on two investments taken together ? 1813 0

  • 1
    1.251 %
    Correct
    Wrong
  • 2
    3.125 %
    Correct
    Wrong
  • 3
    7.21 %
    Correct
    Wrong
  • 4
    9.451 %
    Correct
    Wrong
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Answer : 2. "3.125 %"
Explanation :

Answer: B) 3.125 % Explanation: Taking the 2 investments to be 3x and 5x respectivelyTotal income of Raghu = (3x) x 1.25 + (5x) x 0.9 = 8.25Therefore, Gain% = 0.25/8 x 100 = 3.125 %.

Q: What will come in place of the question mark(?) in the following question ? 56% of 870 + 82% of 180 = 32% of 90 + ? 1813 0

  • 1
    777
    Correct
    Wrong
  • 2
    666
    Correct
    Wrong
  • 3
    606
    Correct
    Wrong
  • 4
    789
    Correct
    Wrong
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Answer : 3. "606"
Explanation :

Answer: C) 606 Explanation: 56% of 870 = 56x870/100 = 487.20 82% of 180 = 82x180/100 = 147.60 32% of 90 = 32x90/100 487.20 + 147.6 - 28.8  =  ? ? = 634.8  - 28.8 ? = 606.

Q: What is Latus Rectum of Parabola? 1813 0

  • 1
    line segment
    Correct
    Wrong
  • 2
    vertex
    Correct
    Wrong
  • 3
    focus
    Correct
    Wrong
  • 4
    major axis
    Correct
    Wrong
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Answer : 1. "line segment"
Explanation :

Answer: A) line segment Explanation: As parabola is a locus of a point, which moves so that its distance from focus and directrix is always equal.   The latus rectum of a conic section is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. The length of the latus rectum is determined differently for each conic.                                          The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex.

Q: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ? 1813 0

  • 1
    42 sec
    Correct
    Wrong
  • 2
    44 sec
    Correct
    Wrong
  • 3
    46 sec
    Correct
    Wrong
  • 4
    48 sec
    Correct
    Wrong
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Answer : 4. "48 sec"
Explanation :

Answer: D) 48 sec Explanation: Relative speed = 60 + 90 = 150 km/hr. = 150 x 5/18 = 125/3 m/sec. Distance covered = 1.10 + 0.9 = 2 km = 2000 m. Required time = 2000 x 3/125 = 48 sec.

Q: Where is the National Institute of Jute and Allied Fibre Technology located ? 1813 0

  • 1
    Telangana
    Correct
    Wrong
  • 2
    Andhra Pradesh
    Correct
    Wrong
  • 3
    West Bengal
    Correct
    Wrong
  • 4
    Haryana
    Correct
    Wrong
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Answer : 3. "West Bengal"
Explanation :

Answer: C) West Bengal Explanation:

Q: A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is girl's ? 1812 0

  • 1
    Son
    Correct
    Wrong
  • 2
    Brother
    Correct
    Wrong
  • 3
    Cousin
    Correct
    Wrong
  • 4
    Nephew
    Correct
    Wrong
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Answer : 2. "Brother"
Explanation :

Answer: B) Brother Explanation: Brother Justification: Daughter of uncle's father -- Uncle's sister -- Mother; Mother's son -- Brother.

Q: A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ? 1812 0

  • 1
    Rs. 4
    Correct
    Wrong
  • 2
    Rs. 3
    Correct
    Wrong
  • 3
    Rs. 5
    Correct
    Wrong
  • 4
    Rs. 1
    Correct
    Wrong
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Answer : 2. "Rs. 3"
Explanation :

Answer: B) Rs. 3 Explanation: Let wholesaler dealers marked price = 100%, Retailer's C.P = 80% And the retailer sells at 5% less than the marked price => S.P = 95%If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16 Profit made by the retailer = 19-16 =  Rs.3

Q: Statements : National Aluminium Company has moved India from a position of shortage to self-sufficiency in the metal. Conclusions : a) Previously, India had to import aluminium.b) With this speed, it can soon become a foreign exchange earner. 1812 0

  • 1
    Only a follows
    Correct
    Wrong
  • 2
    Only b follows
    Correct
    Wrong
  • 3
    Neither a nor b follows
    Correct
    Wrong
  • 4
    Both a and b follows
    Correct
    Wrong
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Answer : 4. "Both a and b follows"
Explanation :

Answer: D) Both a and b follows Explanation: According to the statement, National Aluminium Company has moved India from a position of shortage in the past to self-sufficiency in the present. This means that previously, India had to import aluminium. So, I follows. Also, it can be deduced that if production increases at the same rate, India can export it in future. So, II also follows.

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