IIT JEE Practice Question and Answer
8Q: Which city is located on the banks of the river Mula-Mutha? 3187 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 circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ? 3185 05b5cc6dee4d2b4197774ea79
5b5cc6dee4d2b4197774ea79- 12413 sq.mfalse
- 21234 sq.mfalse
- 34312 sq.mtrue
- 42143 sq.mfalse
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Answer : 3. "4312 sq.m"
Explanation :
Answer: C) 4312 sq.m Explanation: Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively. 2πs = 264 and 2πl = 352 s = 2642π and l = 3522π Difference between the areas =πl2-πs2 = π1762π2-1322π2 = 1762π-1322π = (176 - 132)(176 + 132) / π = (44 x 308) / (22/7) = 4312 sq.m
Q: Count the number of triangles and squares in the given figure. 3183 05b5cc7b0e4d2b41977750826
5b5cc7b0e4d2b41977750826- 136 triangles, 7 Squaresfalse
- 238 triangles, 9 Squaresfalse
- 340 triangles, 7 Squarestrue
- 442 triangles, 9 Squaresfalse
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Answer : 3. "40 triangles, 7 Squares"
Explanation :
Answer: C) 40 triangles, 7 Squares Explanation: The figure may be labelled as shown Triangles : The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number. The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number. Total number of triangles in the figure = 18 + 16 + 6 =40. Squares : The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number Total number of squares in the figure = 3 + 4 =7
Q: An Excel Workbook is a collection of 3180 15b5cc636e4d2b4197774b9f5
5b5cc636e4d2b4197774b9f5- 1Chartsfalse
- 2Worksheetsfalse
- 3Both A & Btrue
- 4None of the abovefalse
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Answer : 3. "Both A & B"
Explanation :
Answer: C) Both A & B Explanation: An M.S Excel Workbook is a collection of both Worksheets and Charts.
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? 3180 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: 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 ? 3179 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: 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 ? 3174 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: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ? 3170 05b5cc6dce4d2b4197774e960
5b5cc6dce4d2b4197774e960- 15:3false
- 21:4false
- 34:1false
- 49:1true
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Answer : 4. "9:1"
Explanation :
Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters. Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters 10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters. The ratio of milk and water in the new mixture = 16:4 = 4:1 If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters. Amount of water removed = 2 liters. Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters. Now 10 lts milk is added => total milk = 18 lts The required ratio of milk and water in the final mixture obtained = (8 + 10):2 = 18:2 = 9:1.

