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 ? 2854 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: Which city is located on the banks of the river Mula-Mutha? 2848 05b5cc6b1e4d2b4197774d309
5b5cc6b1e4d2b4197774d309- 1Punetrue
- 2Nagpurfalse
- 3Ahmedabadfalse
- 4Suratfalse
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Answer : 1. "Pune"
Explanation :
Answer: A) Pune Explanation: The Mula-Mutha is a river in India, formed by the confluence of the Mula and Mutha rivers in the city of Pune, which later meets the Bhima River, which itself later meets the Krishna River and finally emptying to the Bay of Bengal.
Q: The basic operations performed by a computer are 2831 05b5cc651e4d2b4197774bcea
5b5cc651e4d2b4197774bcea- 1Logical operationfalse
- 2Storage and relativefalse
- 3Arithmetic operationfalse
- 4All the abovetrue
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Answer : 4. "All the above"
Explanation :
Answer: D) All the above Explanation: The basic operations performed by a computer are Arithmetic operation, Logical operation and Storage and relative.
Q: What will come in place of question mark(?) in the following number series ? 6859 5832 ? 4096 3375 2828 05b5cc6c0e4d2b4197774db1e
5b5cc6c0e4d2b4197774db1e- 14589false
- 24913true
- 35013false
- 45169false
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Answer : 2. "4913"
Explanation :
Answer: B) 4913 Explanation: The given series follows a pattern that, 19 x 19 x 19 = 6859 18 x 18 x 18 = 5832 17 x 17 x 17 = 4913 16 x 16 x 16 = 4096 15 x 15 x 15 = 3375 So, the missing number in the given series = 4913
Q: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ? 2827 05b5cc745e4d2b4197774fa22
5b5cc745e4d2b4197774fa22- 174true
- 279false
- 372false
- 460false
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Answer : 1. "74"
Explanation :
Answer: A) 74 Explanation: Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12To raise the average by one (from 14 to 15), he scored 12 more than the existing average.Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.
Q: What has teeth but cannot bite? 2826 05b5cc666e4d2b4197774befe
5b5cc666e4d2b4197774befe- 1Combtrue
- 2Sawfalse
- 3Zipperfalse
- 4Gearfalse
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Answer : 1. "Comb"
Explanation :
Answer: A) Comb Explanation: Saw, Zipper and Gear have teeth but can bite us. Comb have teeth but cannot bite.
Q: Find the odd one out of the floowing number series? 270, 261, 279, 252, 289, 243 2825 05b5cc639e4d2b4197774ba8c
5b5cc639e4d2b4197774ba8c- 1270false
- 2279false
- 3289true
- 4243false
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Answer : 3. "289"
Explanation :
Answer: C) 289 Explanation: Here the given number series is 270, 261, 279, 252, 289, 243 270 - 9 = 261 261 + 18 = 279 279 - 27 = 252 252 + 36 = 288 (not equals to 289) 288 - 45 = 243 Hence, the odd number in the given number series is 289.
Q: What is the most important step in prioritizing goals? 2824 05b5cc6a5e4d2b4197774ccfa
5b5cc6a5e4d2b4197774ccfa- 1deciding what is most importanttrue
- 2having multiple tasks lined up for each goalfalse
- 3determining categories for various goalsfalse
- 4writing a list of goalsfalse
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Answer : 1. "deciding what is most important"
Explanation :
Answer: A) deciding what is most important Explanation: Always prioritize by what's most important to what is less important to us to reach our goals as soon as possible.