BASIC CONCEPTS – 4 Ratio and Proportion, SI and CI, Clocks, Calendars and Problems on Ages 1) Find the 4th proportional to 4,5 and 12 (1) 5 (2) 10
(3) 15
(4) 20
2) Find the 3 rd, proportional to 9 and 12 (1) 12 (2) 14
(3) 15
(4) 16
3) Two equal glasses are respectiel! 1"3 and # $ull o$ %il&' The! are then $illed up with water and the contents %ied in tu%ler' The ratio o$ %il& and water in the tu%ler is (1) *+5 (2) *+1* (3) 3+* (4) 11+23 4) ina! got thrice as %an! %ar&s in -athe%atics as in .nglish' The proportion o$ his %ar&s in -athe%atics and /istor! is 4+3' $ his total %ar&s in -athe%atics, .nglish and /istor! are 250, what are his %ar&s in .nglish (1) 120 (2) 90 (3) 40 (4) 0 5) ag contains 25 paise, 10 paise and 5 paise coins in the ratio 1+2+3' $ their total alue is s'30, the nu%er o$ 5 paise coins is+ (1) 50 (2) 100 (3) 150 (4) 200 6) The ratio o$ ages o$ %other and son is 2+1' -other was 30 !ears old when she gae irth to her onl! daughter who is 5 !ears !ounger to her onl! son' Find the present age o$ %other' (1) 40 (2) 50 (3) 60 (4) 65 *) old is 19 ti%es as hea! as water and copper 9 ti%es as hea! as water' The ratio in which these two %etals e %ied so that the %iture is 15 ti%es as hea! as water, is+ (1) 1+2 (2) 2+3 (3) 3+2 (4) 19+135 ) dia%ond $alls and rea&s into three pieces whose weights are in the ratio 3+4+5' The alue o$ dia%ond is proportionate to the square o$ its weight' $ the alue o$ the original dia%ond is s'*2000, what is the loss in alue due to the rea&age (1) s'25000 (2) s'35000 (3) s'45000 (4) s'4*000 9) ing o$ 7audi raia distriuted his propert! a%ong his si sons as $ollows' To his eldest son he gae 1 la&h gold coins and 1"* th o$ the re%aining coins' To the second son, gae 2 la&h gold coins and 1"*th o$ the re%aining gold coins and so on and to his !oungest son he gae si la&h gold coins' The entire nu%er o$ gold coins was distriuted without an! re%ainder' 8hat was the total nu%er o$ gold coins with the &ing (1) 22 la&h (2) 50 la&h (2) *1 la&h (4) 36 la&h 10) run and arun started a usiness ointl!' run:s inest%ent was thrice the inest%ent o$ arun and the period period o$ his inest%en inest%entt was two ti%es the period o$ inest% inest%ent ent o$ arun' arun' $ arun arun receied s+ 4000 as pro$it, then their total pro$it is (1) s'16000 (2) s'20000 (3) s'24000 (4) s+ 2000 11) contriutes s+ 15000 and ; s+ 9000 in a usiness' is a sleeping partner and ; gets 10< o$ the pro$it $or %anage%ent and rest o$ the pro$it is diided in the proportion o$ their capitals' $ the pro$it is s+ 000, what is the share o$ ; (1) s'4500 (2) s'3*50 (3) s'3600 (4) s+ 3500 12) .qual su%s o$ %one! are lent at 5< p'a' and 6< p'a' $or 2 !ears = 3 !ears respectiel!' respectiel!' $ one o$ the% earns s'240 %ore interest than the other $ind the su% lent (1) s'3000 (2) s'2500 (3) s'2000 (4) s'4000 13) %achine costing s'5000"> depreciates ? 20< p'a' ts alue a$ter 3 !ears will e' (1) 7' 200 (2) s'2560 (3) s'2900 (4) s'2520 14) su% o$ %one! is orrowed at 5< p'a' @'' $ it is paid ac& in two equal annual install%ents install%ents o$ s'20 each $ind the su% orrowed' (1) s'16400 (2) s'1*000 (3) s'15600 (4) s'16000
Aage 1 o$ 2
15) %an orrows s'1000 ? 10< p'a' 7' $or 3 !ears and lends it i%%ediatel! at @' $or the sa%e period at the sa%e rate o$ interest' /ow %uch does he gain (1) s'20 (2) s'21 (3) s'31 (4) s'25 16) The @'' on a certain su% o$ %one! $or 2 !ears is s'40 and 7'' on the sa%e su%, $or the sa%e period is s'400'Find the su% and the rate o$ interest' (1) 1,000, 5< (2) 5,000, 4< (3) ,000, 4< (4) 5,000, 5< 1*) certain su% o$ %one! triples in 16 !ears at a certain rate o$ interest' n how %an! !ears will the su% eco%es si ti%es itsel$' (1) 32 !rs (2) 3 !rs (3) 40 !rs (4) 24 !rs 1) t what ti%e etween 2: o cloc& and 3: o cloc& the hands o$ the cloc& coincide (1) 2+10 (2) 2+10 10"11 (3) 2+11 10"11 (4) 2+12 11"12 19) t what ti%e etween 5:o cloc& and 6:o cloc&, the hands o$ the cloc& are opposite to each other' 9 6 2 (1) 5'59 (2) 5'56 (3) 5'5 (4) Beer 11 11 11 20) t what ti%e etween 4:o cloc& and 4+30:o cloc&, the hands o$ the cloc& are right angle to each other' (1) 4+05
5 11
(2) 4+05
6 11
(3) 4+05
2 11
(4) Beer
21) Cn -onda! at 2p% a watch is slow ! 4 %inute and on the Thursda! at 2p% the watch is $ast ! 6 %ints' Cn which ti%e and da! the watch shows correct ti%e (1) Thursda! at 4'50p% (2) 8ednesda! at 6'40a% (3) Tuesda! at 6'4p% (4) 8ednesda! at 1'24 a% 22) 8hat was the da! o$ the wee& on 26 ug 1950 (1) 8ednesda! (2) Thursda! (3) Frida!
(4) Bone
23) $ 12th Dune 19** $alls on 7unda!, then 12 th Dune 190 $alls on which da! (1) 8ednesda! (2) Thursda! (3) Frida! (4) Bone 24) The !ear net to 199 haing the sa%e calendar as that o$ 199 is (1) 1996 (2) 1995 (3) 1993
(4) 1999
25) $ holida!s are declared onl! on 7unda!s and in a particular !ear 12th -arch is a 7unda! is 23 rd 7epte%er in that !ear holida! (1) Ees (2) Bo (3) can:t e deter%ined (4) Bone 26) The su% o$ ages o$ %other = aughter is 56 !ears' $ter 4 !ears, age o$ %other is thrice her daughter' 8hat is the age o$ her daughter (1) 16 !ears (2) 10 !ears (3) 12 !ears (4) 9 !ears 2*) 7i !ears !ears ago, the ratio o$ the ages o$ a%ala a%ala and 7uresh 7uresh was 6+5' Four !ears !ears hence the ratio o$ their ages will e 11+10' 8hat is 7uresh:s age at present (1) 1 !ears (2) 20 !ears (3) 16 !ears (4) none 2) $ather said to his son, G was as old as !ou are at present at the ti%e o$ !our irthH' $ $ the $ather:s age is 46 !ears now, the son:s age $ie !ears ac& was (1) 16 !ears (2) 1* !ears (3) 1 !ears (4) 19 !ears 29) A is as %uch !ounger to I as he is older to ' $ the su% o$ the ages o$ I and is *2 !ears, what is the age o$ A (1) 34!ears (2) 32!ears (3) 36 !ears (4) Bone 30) nil and 7unil are two $riends' The su% o$ their ages is 35 !ears' nil is twice as old as 7unil was when nil was as old as 7unil is now' 8hat is the present age o$ nil (1) 1 !ears (2) 19 !ears (3) 20 !ears (4) Bone
Aage 2 o$ 2