CAT Practice Question and Answer
8Q: 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 05b5cc771e4d2b4197774ffee
5b5cc771e4d2b4197774ffee- 1Veerufalse
- 2Karthiktrue
- 3Vishalfalse
- 4Raghufalse
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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 05b5cc74ae4d2b4197774fa90
5b5cc74ae4d2b4197774fa90- 1142false
- 2175false
- 3212false
- 4253true
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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 05b5cc669e4d2b4197774bf6d
5b5cc669e4d2b4197774bf6d- 10.5true
- 21false
- 34false
- 40false
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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 05b5cc6b6e4d2b4197774d5a8
5b5cc6b6e4d2b4197774d5a8- 191false
- 235false
- 347true
- 469false
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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.
Q: एक कक्षा में 60% छात्र अंग्रेजी में और 45% हिंदी में उत्तीर्ण होते हैं। यदि उनमें से 25% दोनों विषयों में उत्तीर्ण होते हैं, तो कितने प्रतिशत छात्र दोनों विषयों में अनुत्तीर्ण होते हैं? 2885 15b5cc601e4d2b4197774b440
5b5cc601e4d2b4197774b440- 120%true
- 225%false
- 330%false
- 415%false
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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 05b5cc6ebe4d2b4197774eeb9
5b5cc6ebe4d2b4197774eeb9- 120% p.atrue
- 215% p.afalse
- 318% p.afalse
- 424% p.afalse
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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 05b5cc7d1e4d2b41977751295
5b5cc7d1e4d2b41977751295- 1120false
- 2360true
- 3240false
- 4424false
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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 05b5cc69ae4d2b4197774c7ac
5b5cc69ae4d2b4197774c7ac- Show Answer
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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.