CAT Practice Question and Answer
8Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 3113 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: The food and drug administration sets standards for 3112 05b5cc622e4d2b4197774b7ba
5b5cc622e4d2b4197774b7ba- 1product labelingtrue
- 2traffic safetyfalse
- 3advertisingfalse
- 4the environmentfalse
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Answer : 1. "product labeling"
Explanation :
Answer: A) product labeling Explanation: The FDA is responsible for protecting and promoting public health through the control and supervision of food safety, tobacco products, dietary supplements, prescription and over-the-counter pharmaceutical drugs (medications), vaccines, biopharmaceuticals, blood transfusions, medical devices, electromagnetic radiation emitting devices (ERED), cosmetics, animal foods & feed and veterinary products.
Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3107 05b5cc709e4d2b4197774f267
5b5cc709e4d2b4197774f267- 163 and 49true
- 264 and 48false
- 362 and 46false
- 464 and 49false
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Answer : 1. "63 and 49"
Explanation :
Answer: A) 63 and 49 Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14=> x - y = 2 product of numbers = product of their hcf and lcm=> 7x * 7y = 441 * 7=> x * y = 63 Now, we havex * y = 63 , x - y = 2=> x = 9 , y = 7 The numbers are 7x and 7y=> 63 and 49
Q: Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ? 3104 05b5cc6dce4d2b4197774e9bf
5b5cc6dce4d2b4197774e9bf- 111.8false
- 212.9false
- 313.7false
- 414.5true
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Answer : 4. "14.5"
Explanation :
Answer: D) 14.5 Explanation: Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.k/l = 5/x ------ (1)k = m - 18 ------ (2)m + 9 = 47 ------ (3)k - l = m ----- (4)(3) => m = 47 - 9 = 38 years(2) => k = 38 -18 = 20 years(1) => 20/l = 5/x => l = 4x(4) => 4x - 20 = 38=> 4x = 58 => x = 14.5
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 ? 3102 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: The 1911 Chinese revolution ended the rule of the 3098 05b5cc68be4d2b4197774c365
5b5cc68be4d2b4197774c365- 1Ming dynastyfalse
- 2Mongolians dynastyfalse
- 3Song dynastyfalse
- 4Manchus dynastytrue
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Answer : 4. "Manchus dynasty"
Explanation :
Answer: D) Manchus dynasty Explanation: It was the Qing Dynasty, who was a Manchu Dynasty whose rule ended in 1911 Chinese revolution.
Q: Directions: A string of words is fed into a computing machine. It processes the input and gives an output in the following manner: Input: Honesty is the best policy. Step 1: is Honesty the best policy Step 2: is the Honesty best policy Step 3: is the best Honesty policy Step 4: is the best policy Honesty Output: is the best policy Honesty Now, If the input is "A rolling stone gathers no moss", what will be the fifth word in the string after 4 steps? 3097 05b5cc6bde4d2b4197774d8f2
5b5cc6bde4d2b4197774d8f2- 1Mossfalse
- 2Nofalse
- 3Stonefalse
- 4Atrue
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Answer : 4. "A"
Explanation :
Answer: D) A Explanation: For the input "A rolling stone gathers no moss", the steps followed are: Step 1: rolling A stone gathers no moss Step 2: rolling stone A gathers no moss Step 3: rolling stone gathers A no moss Step 4: rolling stone gathers no A moss After 4 steps the fifth word is "A".
Q: 80% of 900 + 162 x 4 x ? = 113 - 99 3097 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