Algebra 100 Items

TIPMLAEE 2012 ALGEBRA-MODULE ALGEBRA-MODULE 2 Subject: ALGEBRA III 1. 2. !. ". 5. 6. 7. %. #. 10. 11. 11. 12.

1!. 1". 15. 16. 17. 1%. 1#. 20. 21. 22. 2!. 2". 25. 26.

A pump can can pump out a tank in 11 11 hours. hours. Another Another pump can pump pump the same tank in in 20 hrs. How long long will it take both both pumps together together to pump pump out the tank? a. 7 hr s b . 6 h ou r s c. 7.5 hours d. 6. 5 hrs th th Find the 7  term o the arithmetic progression i the 10  is !2. a. 2 " b . 25 c. 2! d . 1# $etermi $etermine ne the sum sum o odd odd numbers numbers rom rom 1 to 61 61 o the oll ollowi owing ng integer integers. s. a . # %1 b. # 6 1 c. %67 d . %1 # &hat is is the sum sum o the oll ollowi owing ng inite inite se'uen se'uence ce o terms? terms? 1%( 1%( 25( 25( !2( !#() !#() 67 a . 2 !" b. 2 1 ! c. 1%1 d . !" 0 2 2 &hat &hat is the solu solutio tionn o the the e'ua e'uatio tionn 50* 50* +5,*-2 / -1( i * is a real  alued ariable? a. 6.12or !.%% b. 0.52 or 0.70 c. 7.55 d. no solution he salar3 o o a worker 4ob has has ie leels( leels( each one 5 greater greater than the the one below it. it. $ue to circumstances circumstances(( the salar3 o o the worker must must be reduced reduced rom the top ith leel to the second leel( which means a reduction o 122.0 per month. &hat is the worker present salar3 per month? a . " "0 b. % # 6 c. 6%0 d . 57 0 wice wice the sum o o two numbers numbers is 2%. 2%. he sum o o the s'uares s'uares o the the two numbers numbers is 100. 100. he product product o the the two numbers numbers is a. " % b . 12 c. 2" d . !6 ight men can can dig 150 t o trench trench in 7 hr. hree men can can backill backill 100 t o the trench trench in "hr. he time that that it will take take 10 men to dig and ill ill 200 t o trench trench is8 a . 7 81 6 b . " 8" 2 c. #852 d . % 8! 0 A man owns owns two s'uare s'uare o o lots o une'ua une'uall si9e( si9e( together together conta containi ining ng 15(025t 15(025t2. : the lots were contiguous( it would re'uire 5!0 t o ence to embrace them in a single enclosure o si* sides. Find the area o the smaller lot. a . 1 " (6 2 5 b. 525 c. 12(!"5 d. 625 A 500t long long surace essel essel is modeled at 1850. &hat &hat is the speed must the model trael trael i a 25mph similarit3 similarit3 is desired? desired? a. !.5"t;s b. 5 t;s c. 5.2 t;s d. 7.07 t;s eorm rogram rogram is to hae a retention limit limit o 10 hectares. hectares. : a landowner was let with with 10 hectares ewer than than "0 o his land( ater selling 6 hectares more than 70 o his land( what si9e o his land did he initiall3 own? a. 1 0 b . 20 c. !0 d . "0 A rope 70m 70m long is cut into into two pieces pieces where one is 10m longer longer than the the other. Find the length length o the longest longest part. a. 10 1 0m b . !0 m c. "0m d. 7 0 m he cities are connected connected b3 roads orming orming a triangle( triangle( all o dierent dierent lengths. lengths. :t is !0 km around the circuit. circuit. =ne o the roads is 10km long and the longest longest is 10 km longer than the shortest. &hat is the length o the shortest roads. a. 5km b. 10km c. 15 km d. 20 km Find the smallest smallest angle o a triangle triangle where the smallest smallest angle is !0 deg smaller than than the ne*t larger angle( angle( and the largest angle angle is 11 deg larger than than the smallest angle. a . 1 0 d eg b. 1! deg c. 12 deg d. 15 deg A @& dries rom A toward toward  at !0 mi;hr. Another Another car starting starting rom  at the same time dries toward toward A at 20mi;hr. 20mi;hr. : A/ 20 mi( ind when the cars will be nearest together. a. 60min b. 50min c. !0 min d. 2"min : a car reduces reduces its speed ! mi;hr( mi;hr( itit will takes 2 hours hours more to reach reach a cit3 "00 miles miles awa3. awa3. Find the car car speed. a. 26mph b. 1"mph c. !!mph d. !6mph >onnie was 6 times times as old as