CAT Practice Question and Answer

Q: Vishal, Priyatham, Raghu, Karthik and Veeru are five friends. Vishal is twice as old as priyatham. Raghu is half age of Priyatham. Vishal is half the age of Veeru and Raghu is twice the age of Karthik. Question:Who is the youngest ? 2897 0

  • 1
    Veeru
    Correct
    Wrong
  • 2
    Karthik
    Correct
    Wrong
  • 3
    Vishal
    Correct
    Wrong
  • 4
    Raghu
    Correct
    Wrong
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Answer : 2. "Karthik"
Explanation :

Answer: B) Karthik Explanation: Let Priyatham's age = x Then, Vishal's age = 2x; Raghu's age = x/2; Veeru's age = 4x ; Karthik's age = x/4 So, the descending order of ages is : Veeru > Vishal > Priyatham > Raghu > Karthik Therefore,  Karthik is the youngest.

Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 2897 0

  • 1
    142
    Correct
    Wrong
  • 2
    175
    Correct
    Wrong
  • 3
    212
    Correct
    Wrong
  • 4
    253
    Correct
    Wrong
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Answer : 4. "253"
Explanation :

Answer: D) 253 Explanation: The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on... So, 22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.

Q: 80% of 900 + 162 x 4 x ? = 113 - 99 2891 0

  • 1
    0.5
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "0.5"
Explanation :

Answer: A) 0.5 Explanation: 80x900/100 + 256 x 4 x ? = 1331 - 99 720 + 1024 x ? = 1232 ? = 1232 - 720/1024 ? = 512/1024 = 0.5 ? = 0.5

Q: Find the next number in the series   143 143 136 110 ? 2889 0

  • 1
    91
    Correct
    Wrong
  • 2
    35
    Correct
    Wrong
  • 3
    47
    Correct
    Wrong
  • 4
    69
    Correct
    Wrong
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Answer : 3. "47"
Explanation :

Answer: C) 47 Explanation: The next number in the series is 143 143 136 110       0    7      26 (Differences)  13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.

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Answer : 1. "20%"
Explanation :

Answer: A) 20% स्पष्टीकरण: अंग्रेजी में उत्तीर्ण छात्रों का प्रतिशत = 60% हिंदी में उत्तीर्ण छात्रों का प्रतिशत = 45% दोनों विषयों में उत्तीर्ण छात्रों का प्रतिशत = 25% एटीक्यू, केवल अंग्रेजी में उत्तीर्ण छात्रों का प्रतिशत = 60 - 25 = 35% का प्रतिशत विद्यार्थी केवल हिंदी में उत्तीर्ण हुए = 45 - 25 = 20% इसलिए, अनुत्तीर्ण छात्रों का प्रतिशत = 100 - (35 + 25 + 20) = 100 - 80 = 20%।

Q: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ? 2884 0

  • 1
    20% p.a
    Correct
    Wrong
  • 2
    15% p.a
    Correct
    Wrong
  • 3
    18% p.a
    Correct
    Wrong
  • 4
    24% p.a
    Correct
    Wrong
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Answer : 1. "20% p.a"
Explanation :

Answer: A) 20% p.a Explanation: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year. Rate of interest = (100 x 240) / (1200) = 20% p.a

Q: How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4? 2883 0

  • 1
    120
    Correct
    Wrong
  • 2
    360
    Correct
    Wrong
  • 3
    240
    Correct
    Wrong
  • 4
    424
    Correct
    Wrong
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Answer : 2. "360"
Explanation :

Answer: B) 360 Explanation: There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.    Number of 7 digit numbers = 7!3!×2! = 420   But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.   =6!3!×2! = 60   Hence the required number of 7 digits numbers = 420 - 60 = 360

Q: Is B2+ Paramagnetic or Diamagnetic? 2880 0

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Answer :
Explanation :

B2+ is a Paramagnetic.  The filled orbitals are σ(1s)22, σ∗(1s)22, σ(2s)22, σ∗(2s)22. The half-filled orbitals are π(2pxx) and π(2pyy). Since it posses 2 unpaired electrons, it is Paramagnetic in nature.

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