AptitudeTOPIC SIMPLEEQUATIONS SYNOPSIS:1. A set of equations like ax + by = c, dx + ey = f is called a system of simultaneous equations in two variables x , y.2. If the nuber of equations is less than the nuber of variables, then we say the variables are indeterminate. !oeties in case of indeterinate equations, say, of three variables, it is possible that the values of one of the variables ay be deterined. "his depends up on the #iven set of equations. EXERCISE 1.A class starts at 1$ a.. and lasts till 1.2% p.. &our periods are held durin# this interval . After every period, 'in are #iven free to the students. "he exact duration of each period is (a.)2inb. )* inc.'1ind.'+in2.A li#ht was seen at intervals of 1+ sec. It was seen for the tie at 1 hr .')in. 'osecs. a.. and the last tie at +hrs. 1%in .),secs. a.. -ow any ties was the li#ht seen.1. +/$ b.+%' c.+%*d.+*)+.A an earns 0s.2$ on the 1rst day and spends 0s.1' on the next day. -e a#ain earns 0s.2$ on the third and spends 0s.1' on the fourth day. If he continous to save like this , how soon will he have 0s. /$ in hand.1. 2n 1%th day b. 2n 2%th dayc. 2n +$th day d. 2n )$th day).A boy was asked to ultiply a nuber by 2'. -e instead ultiplied the nuber by '2 and #ot theanswer +2) ore than the correct answer. "he nuber to be ultiplied was (a.12b.1' c.2'd.+2'.A apple costs 0s.% each. A elon costs 0s.' each. 3 spends 0s.+/ on these fruits. "he nuber of apples purchased is (a.2b.+c.)d. data insu4cient/."he nuber of #irls in a class is ' ties the nuber of boys. 5hich of the followin# cannot be the total of children in the class.a.2)b.+$ c.+'d.)2%."he total nuber of di#its used in nuberin# the pa#es of a book havin#+// pa#es,is(a.%+2 b.,,$ c.1$,* d.1+$'*.A printer nubers the pa#es of a book startin# with 1 and uses +1*, di#its in all. -ow any pa#es does the book have.a.1$$$ b.1$%) c.1$%' d.1$*$,.In a #arden there1$ rows and 12 coluns of an#o trees. "he distance between the two trees is 2 and a distance of one eter is left fro all sides of the boundary of the #arden. "he len#th of the #arden is(a.2$b.22 c.2)d.2/1$.A waiter6s salary consists of his salary and tips. 7urin# one week his tips were '8) $f his salary. 5hat fraction of his incoe cae fro tips.a.)8,b.'8) c.'8*d.'8,11."o 1ll a tank, 2' buckets of water is required. -ow any buckets of water will be required to 1ll the sae tank if the capacity of the bucket is reducedto two91fth of its present.a.1$b.+' c./2 :d. none of these12.A boy read +8*th of a book on one day and )8'th of the reainder on another day. If there were +$ pa#es unread, -ow any pa#es did the book contain.a.2)$ b.+$$ c./$$d.2'$1+.An institute or#ani;ed a fest and 18'th of #irls and 18*th of the boys participated in the sae. 5hat fraction of the total nuber of students took part in the fest.a.281+ b.1+8)$ c. none of these d. datainadequate1).&ro a nuber of apples, a an sells half the nuber of existin# apples plus 1 to the 1rst custoer, sells 18+rd of the reainin# apples plus 1 to the second custoer and 18'th of the reainin# apples plus 1 to the third custoer .-e then 1nds that he has + apples left. -ow any apples did he have ori#inally.a.1'b.1* c.2$c.2'1'.7avid #ets on the elevator at the 11th ect and )2? failed in another sub>ect while 1'? failed in both the sub>ects. If 2'$$ candidates appeared at the exaination, how any passed in either sub>ect but not in both .a.+2' b.11%' c.212' d. Lone of these21.A ba# contains /$$ coins of 2'paise denoination and 12$$ coins of '$p denoinations. If 12? of 2'p coins and 2)? of '$p coins are reoved, the percenta#e of oney reoved fro the ba# is nearlya.1'./? b.1%.*? c.21./? d.+$?22."hey are /$$ boys in a hostel. =ach plays either hockey or football or both. If %'? play hockeyand )'? play football, how any play both.a.)* b./$ c.*$ d.12$+. In a fraction, If nuerator is increased by )$? and denoinator is increased by *$? then what fraction of the ori#inal is the new fraction.). : b.%8, c.%81*d. data inadequate2)."he nuber which exceeds 1/? of it by )2 isa.'$ b.'2 c.'* d./$