IIT JEE Practice Question and Answer
8Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3232 05b5cc709e4d2b4197774f267
5b5cc709e4d2b4197774f267- 163 and 49true
- 264 and 48false
- 362 and 46false
- 464 and 49false
- Show AnswerHide Answer
- Workspace
- SingleChoice
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: Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ? 3226 05b5cc6d8e4d2b4197774e7bf
5b5cc6d8e4d2b4197774e7bf- 1600true
- 2300false
- 3150false
- 475false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "600"
Explanation :
Answer: A) 600 Explanation: 1/2:1/3:1/4 = 6:4:3 As the difference is 3 => 3/13x2600 = 600
Q: Dhanraj Pillay is related to which sports ? 3225 05b5cc6cde4d2b4197774e195
5b5cc6cde4d2b4197774e195- 1Cricketfalse
- 2Hockeytrue
- 3Golffalse
- 4Footballfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Hockey"
Explanation :
Answer: B) Hockey Explanation: Dhanraj Pillay is a retired Indian field hockey player and former captain of the Indian national team.He currently serves as the manager of the team.
Q: The 1911 Chinese revolution ended the rule of the 3225 05b5cc68be4d2b4197774c365
5b5cc68be4d2b4197774c365- 1Ming dynastyfalse
- 2Mongolians dynastyfalse
- 3Song dynastyfalse
- 4Manchus dynastytrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
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: Find the odd man out in the following number series? 5, 4, 9, 32, 273 3216 05b5cc695e4d2b4197774c500
5b5cc695e4d2b4197774c500- 14false
- 29false
- 332true
- 4273false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "32"
Explanation :
Answer: C) 32 Explanation: The given number series follows 5, 4, 9, 32, 308 pattern that 5 5 x 1 - 1 = 4 4 x 3 - 3 = 9 9 x 5 - 5 = 40 (not equals to 32) 40 x 7 - 7 = 273 Hence, the odd man in the given number series is 32.
Q: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 3216 05b5cc72ce4d2b4197774f783
5b5cc72ce4d2b4197774f783- 1Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840true
- 2Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840false
- 3Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840false
- 4Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
Explanation :
Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840
Q: Choose the word which gives best meaning to the sentence from the given options. His recent success ______ him more arrogant than what he used to be 3208 05b5cc745e4d2b4197774fa45
5b5cc745e4d2b4197774fa45- 1makefalse
- 2have makefalse
- 3was makingfalse
- 4has madetrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "has made"
Explanation :
Answer: D) has made Explanation: HIS RECENT SUCCESS HAS MADE HIM MORE ARROGANT THAN WHAT HE USED.
Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 3206 05b5cc74ae4d2b4197774fa90
5b5cc74ae4d2b4197774fa90- 1142false
- 2175false
- 3212false
- 4253true
- Show AnswerHide Answer
- Workspace
- SingleChoice
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.