Know Yourself

Ample Thesaurus: Noun: more than necessary             enough, sufficient, abundant, capacious, full, great, lavish, liberal, plenty...                                           Antonyms: insufficient, not enough . ..                                       Example sentences: ·        That amount will be ample for me.  ·        There are ample of dishes to serve. 

Covet Thesaurus: Verb: envy             desire strongly, long for, lust after, want, yearn for, wish for, crave...                               Antonyms: be generous, give . ..                                       Example sentences: ·        He covets for money.  ·       One must not covet for drugs. 

Ratio and Proportion: Answer of Day 108: 35:27:18 Problem: What’s the ratio whose terms differ by 30 and the measure of which is 4/9? Solution:                   x/x+30 = 4/9                   9x = 4x+120                   x = 24.                   The required ratio = x:x+30                                                    = 24:54                                                    = 4:9 A problem to solve: A certain amount was divided among A and B in the ratio 9:1. If B’s share was 6570, the total amount was:

Sulk Thesaurus: Verb: pout            be down in the mouth, gloom, frown, grump, scowl...                                           Antonyms: smile, grin . ..                                       Example sentences: ·        Please don't sulk for silly reasons.   ·        No sulking .  

Ratio and Proportion: Answer of Day 107: 2:1 Problem: A and B are 2 alloys of gold and copper prepared by mixing metals in the ratio 5:6 and 3:7 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be: Solution:                 Gold in C = 5/11 + 3/10 = 50+33/110 = 83/110.                 Copper in C = 6/11 + 7/10 = 60+77/110 = 137/110.                The ratio of gold and copper in C = 83/110: 137/110                                                                            = 83:137 A problem to solve: A sum of 80 is divided among A, B and C in such a way that A gets 8 more than what B gets and B gets 9 more than what C gets. The ratio of their shares is:

Veracious Thesaurus: Adjective: true                    accurate, direct, honest, open, right, reliable, strict, valid...                                           Antonyms: false, untrue . ..                                       Example sentences: ·        He'll be veracious in his works.  ·        Her directions are veracious. 

Ratio and Proportion: The least whole number which when subtracted from both the terms of the ratio 9:8 gives a ratio less than 11:20 is: Solution:                (9-x)/(8-x) <11/20                180-20x < 88-11x                92 < 9x                x > 10.2                Least such whole number is 10. A problem to solve: If 0.32 of a number is equal to 0.64 of another number, the ratio of the numbers is:

Elicit Thesaurus: Verb: bring out            cause, drive, educe, evoke, extract, fetch, squeeze, obtain...                                           Antonyms: hide, cover, repress . ..                                       Example sentences: ·        Tara couldn't elicit the information.  ·        She elicited the solution for the problem. 

Ratio and Proportion: 1. Zinc and copper are melted together in the ratio 5:3. What's the weight of the melted mixture, if 50.5 kg of zinc has been consumed in it? Solution:                ( Ratio of zinc / Total ratio ) * Total weight = Weight of zinc                ( 5/8)*Total weight = 50.5                 Total weight = 50.5 * 8/5                                      = 80.8 kg. 2. The compound ratio of (9:2), (7:8) and (3:5) is: Solution:                The compounded ratio of the ratios (a:b),(c:d),(e:f) is (ace: bdf ).                 ace = 9*7*3 = 189.                bdf = 2*8*5 = 80.                The compounded ratio of the given ratios is 189:80

Resent Thesaurus: Verb: be angry about            begrudge, dislike, frown at, have hard feelings, take offense, be vexed...                                           Antonyms: love, delight, like . ..                                       Example sentences: ·        That makes her resent .  ·        He resents the way he was treated. 

Ratio and Proportion: Answer of Day 104:   3:1 Problems: 1. The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity is consumed. When in a certain month 300 units are consumed, the bill is 2000. In another month 520 units are consumed and the bill is 3100. In yet another month 200 units are consumed. The bill for that month would be: Solution:               Let the fixed amount be x and the cost of each unit be y.               300y+x = 2000    ---- Equation 1              520y+x = 3100    ---- Equation 2                 By solving these 2 equations, we get                      y = 5 and x = 500.            The bill for the asked month is 200y+x = 200(5)+500                                                                           = 1500. 2. The ratio of the incomes of A and B is 3:5 and the ratio of their expenditures is 2:3. If at the end of the year, A saves 300 and B saves 600, then the income of

Flounder Thesaurus: Verb: struggle            fall down, lurch, blunder, mistake, pratfall, slip up, travail, woe...                                           Antonyms: succeed, achieve . ..                                       Example sentences: ·        There will be some flounders in the path of success.  ·        He couldn't face this flounder anymore.   

Ratio and Proportion:                          1. x varies inversely as square of y. Given that x=2 and y=6. The value of x for y=3 will be equal to: Solution:                 x α 1/y 2                 x =k/y 2                 2 =k/(6) 2                 k = 72.               For y=3,                   x = 72/(3) 2                     = 72/9                   x = 8.   A problem to solve: If 30% of x = 90% of y, then x:y is equal to:

Tiff Thesaurus: Noun: argument             bad mood, disagreement, dispute, huff, brawl, debate, spat, temper...                                           Antonyms:  peace, harmony, agreement . ..                                       Example sentences: ·        There is a tiff happening right over there.  ·        Chocolates made the children to tiff . 

Ratio and Proportion : 1. In a school, 30% of the boys are same in the number as 1/2 of the girls. What’s the ratio of boys and girls in that school? Solution:                   ( 30/100)B = (1/2)G                   B/G = 100/60 = 5/3                   The required ratio is 5:3 2. Three containers have their volumes in the ratio 1:2:5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (1:3), (2:1) and (3:1) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is: Solution:                  Let their volumes be x, 2x and 5x respectively.                                  Milk in the 3 containers = x(1/4) + 2x(2/3) +5x(3/4)                                                            = x/4 + 4x/3 + 15x/4                                                            = 64x /12.                Water in the 3 containers

Hone Thesaurus: Verb: sharpen            grind, edge, whet, file, strop...                                           Antonyms: blunt, dull . ..                                       Example sentences: ·        One must hone their skills to reach their goals.   ·        She's honing her knife. 

Trepidation Thesaurus: Noun: anxiety             alarm, dismay, dread, emotion, fear, fright, goosebumps, panic, shock, worry...                                           Antonyms: calm, happiness . ..                                       Example sentences: ·        She must overcome her trepidation to win the trophy.  ·       He was able to do that work with some trepidation . 

Ratio and Proportion: 1.  The sides of the triangle are in the ratio 1/6: 1/4: 1/5 and its perimeter is 148 cm. The length of the longest side is: Solution:                  The given ratio is                            1/6: 1/4: 1/5 = 10: 15: 12                  The total ratio is 10+15+12 = 37.                  The largest side = (15/37)*148                                            = 60. 2. The ratio of the number of boys and girls in a school is 1:3. If 10% of boys and 30% of girls are scholarship holders, what percentage of students does not get the scholarship? Solution:                 90% of boys don’t get the scholarship = 90/100(x)                 70% of girls don’t get the scholarship = 70/100(3x)                By adding these two, we’ll get 3x.                The total ratio is x+3x = 4x.                           The percentage of students who do not get the scholarship = 3x/4x(100)                                  

Ratio and Proportion: 1. The speeds of 3 cars are in the ratio 3:5:9. The ratio between the time taken by them to travel the same distance is: Solution:                 Speed = Distance/ Time                 The Time ratio is  1/3: 1/5: 1/9                 The required ratio is 15: 9: 5 2. In a college, the ratio of the girls and boys is 4:7. If there are 420 boys, the total number of students in the college is: Solution:                The Number of boys = 420.                7x = 420                x = 60.                The total number of students = 4x+7x                                                               = 11x =11(60)                                                                = 660.