GATE рдкреНрд░рд╢реНрди рдФрд░ рдЙрддреНрддрд░ рдХрд╛ рдЕрднреНрдпрд╛рд╕ рдХрд░реЗрдВ
рдкреНрд░: 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 ? 3266 05b5cc745e4d2b4197774fa22
5b5cc745e4d2b4197774fa22- 174true
- 279false
- 372false
- 460false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "74"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
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.
рдкреНрд░: The basic operations performed by a computer are 3261 05b5cc651e4d2b4197774bcea
5b5cc651e4d2b4197774bcea- 1Logical operationfalse
- 2Storage and relativefalse
- 3Arithmetic operationfalse
- 4All the abovetrue
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "All the above"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) All the above Explanation: The basic operations performed by a computer are┬аArithmetic operation,┬аLogical operation and┬аStorage and relative.
рдкреНрд░: 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 ? 3257 05b5cc6dce4d2b4197774e960
5b5cc6dce4d2b4197774e960- 15:3false
- 21:4false
- 34:1false
- 49:1true
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "9:1"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters ┬а If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters. ┬а Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters ┬а 10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters. ┬а The ratio of milk and water in the new mixture = 16:4 = 4:1 ┬а 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. ┬а Amount of water removed = 2 liters. ┬а Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters. ┬а Now 10 lts milk is added => total milk = 18 lts ┬а The required ratio of milk and water in the final mixture obtained ┬а = (8 + 10):2 = 18:2 = 9:1.
рдкреНрд░: рдПрдХ рд╕реНрддрдВрдн рдФрд░ рдПрдХ рдкрдВрдХреНрддрд┐ рдХрд╛ рдкреНрд░рддрд┐рдЪреНрдЫреЗрджрди 3257 05b5cc651e4d2b4197774bcdb
5b5cc651e4d2b4197774bcdb- 1рд╕реЗрд▓true
- 2рдореЗрдиреНрдпреВfalse
- 3рдХреАfalse
- 4рдлрд┐рд▓реНрдбfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "рд╕реЗрд▓"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) рд╕реЗрд▓ рд╕реНрдкрд╖реНрдЯреАрдХрд░рдг: рдПрдХ рд╕реНрдкреНрд░реЗрдб рд╢реАрдЯ рдореЗрдВ рдПрдХ рдХреЙрд▓рдо рдФрд░ рдПрдХ рдкрдВрдХреНрддрд┐ рдХреЗ рдкреНрд░рддрд┐рдЪреНрдЫреЗрджрди рдХреЛ рд╕реЗрд▓ рдпрд╛ рдмреЛрди рдХрд╣рд╛ рдЬрд╛рддрд╛ рд╣реИред
рдкреНрд░: Complete┬аthe next number in the given number series? 21 56 102 160 231 316 3255 05b5cc5ffe4d2b4197774b436
5b5cc5ffe4d2b4197774b436- 1416true
- 2415false
- 3414false
- 4413false
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "416"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 416 Explanation: The given number series is┬а 21 56 102 160 231 316 ┬а 21┬а ┬а ┬а 56┬а ┬а ┬а ┬а102┬а ┬а ┬а ┬а 160┬а ┬а ┬а 231┬а ┬а ┬а ┬а316┬а ┬а ┬а ┬а ┬а416 ┬а ┬а+35┬а ┬а +46┬а ┬а ┬а ┬а+58┬а ┬а ┬а ┬а+71┬а ┬а ┬а +85┬а ┬а ┬а ┬а+100 ┬а ┬а ┬а ┬а +11┬а ┬а ┬а +12┬а ┬а ┬а ┬а+13┬а ┬а ┬а +14┬а ┬а ┬а +15 ┬а Hence, the next number in the given number series is 316 + 100 = 416.
рдкреНрд░: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ┬а? 3254 05b5cc6dee4d2b4197774ea79
5b5cc6dee4d2b4197774ea79- 12413 sq.mfalse
- 21234 sq.mfalse
- 34312 sq.mtrue
- 42143 sq.mfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 3. "4312 sq.m"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: C) 4312 sq.m Explanation: Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.┬а┬а ┬а2╧Аs = 264 and┬а2╧Аl = 352┬а┬а ┬а ┬аs =┬а2642╧А and l =┬а3522╧А┬а┬а┬а Difference between the areas =╧Аl2-╧Аs2┬а┬а┬а ┬а┬а=┬а╧А1762╧А2-1322╧А2┬а ┬а┬а= 1762╧А-1322╧А┬а┬а ┬а = (176 - 132)(176 + 132) /┬а╧А┬а┬а ┬а = (44 x 308) / (22/7) = 4312 sq.m
рдкреНрд░: 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 ? 3249 05b5cc6ebe4d2b4197774eeb9
5b5cc6ebe4d2b4197774eeb9- 120% p.atrue
- 215% p.afalse
- 318% p.afalse
- 424% p.afalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "20% p.a"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
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
рдкреНрд░: If the rate increases by 2%, the simple interest received on a sum of money increases by Rs. 108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs.180. The sum is ? 3247 05b5cc767e4d2b4197774fe0b
5b5cc767e4d2b4197774fe0b- 1Rs. 540false
- 2Rs. 415false
- 3Rs. 404false
- 4Data is not sufficienttrue
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "Data is not sufficient"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) Data is not sufficient Explanation: Let the sum be Rs. p, rate be R% p.a. and time be T years. Then, ┬аP├ЧT├Ч(R+2)100-P├ЧT├ЧR100=108┬а┬атЗТ2PT=┬а10800┬а┬а......┬а(1) ┬аAnd,┬а ┬аP├ЧR├Ч(T+2)100-P├ЧR├ЧT100=180┬а┬а┬атЗТ2PR┬а=┬а18000┬а......(2) Clearly, from (1) and (2), we cannot find the value of pSo, the data is not sufficient.

