Simplification

ABC26GN1177 · If x * y=x2+y2-x y, then the value of 9 * 11 is

ABC26GN1178 · If a * b=a b/(a+b), find the value of 3 *(3 *-1).

ABC26GN1179 · If a * b=2 a-3 b+a b, then 3 * 5+5 * 3 is equal to

ABC26GN1181 · If a * b * c means (a+b)/c for all numbers except 0, then (a * b * c) * a * b is equal to

ABC26GN1185 · If the operation ∧ is defined by the equation x ∧ y = 2x + y, what is the value of a in 2 ∧ a = a ∧ 3? · 2009

ABC26GN1187 · At Srinagar, starting at 9 a.m. on a certain day, snow began to fall at a rate of 1 1/4 inches every two hours until 3 p.m. If there was…

ABC26GN1188 · A squirrel starts climbing up a tree at the speed of 6 metres a minute but after every 6 metres it slips down 4 metres in the next minute… · 2006

ABC26GN1189 · Ram had ₹ 1000 in his Savings Bank Account. Every month in the first week he needs money, so he withdraws ₹ 500, but by the end of the… · 2005

ABC26GN1191 · A stairway 10 ft. high is such that each step accounts for half a foot upward and one foot forward. What distance will an ant travel if it… · 2009

ABC26GN1192 · The sum of all proper fractions whose denominators are less than or equal to 100, is

ABC26GN1193 · The value of (1-x4)/(1+x) ÷ (1+x2)/x × 1/(x(1-x)) is

ABC26GN1194 · 17/15 × 17/15+2/15 × 2/15-17/15 × 4/15 is equal to

ABC26GN1195 · 2 × 13 3/4 × 5 1/4+5 1/4 × 5 1/4+13 3/4 × 13 3/4= ?

ABC26GN1196 · The simplification of ((75983 × 75983-45983 × 45983)/30000) yields the result

ABC26GN1199 · What is (7/8 × 7/8+5/6 × 5/6+7/8 × 5/3)/(7/8 × 7/8-5/6 × 5/6) equal to? · 2007

ABC26GN1200 · The simplified value of 19982-19972+19962-19952 +19942-19932 is

ABC26GN1201 · ((856+167)2+(856-167)2)/(856 × 856+167 × 167)= ?

ABC26GN1202 · ((469+174)2-(469-174)2)/(469 × 174)= ? · 2002

ABC26GN1203 · If a-b=3 and a2+b2=29, find the value of a b. · 2003

ABC26GN1205 · The simplified value of ((1+1/(1+1/100)) (1+1/(1+1/100))- (1-1/(1+1/100)) (1-1/(1+1/100)))/((1+1/(1+1/100))+ (1-1/(1+1/100))) is

ABC26GN1206 · The value of (769435 × 770001-566)/(769435+770001 × 769434) is

ABC26GN1207 · If a-b=1, then the value of a3-b3-3 a b will be

ABC26GN1208 · If x-y=1 and x2+y2=41, then the value of x+ y will be

ABC26GN1209 · If x4+y4=17 and x+y=1, then what is the value of x2 y2-2 x y ?

ABC26GN1210 · If x=a+m, y=b+m, z=c+m, the value of (x2+y2+z2-y z-z x-x y)/(a2+b2+c2-a b-b c-c a) is

ABC26GN1211 · If a+b+c=13, a2+b2+c2=69, then find a b+b c+c a.

ABC26GN1213 · ((785 × 785 × 785+435 × 435 × 435)/(785 × 785+435 × 435-785 × 435)) simplifies to

ABC26GN1214 · ((147 × 147+147 × 143+143 × 143)/(147 × 147 × 147-143 × 143 × 143))= ?

ABC26GN1215 · ((13)3+73)/((13)2+72-?)=20

ABC26GN1216 · The value of ((3/5)3- (2/5)3)/((3/5)2- (2/5)2) is · 2003

ABC26GN1217 · The value of ((x-y)3+(y-z)3+(z-x)3)/(9(x-y)(y-z)(z-x)) is equal to

ABC26GN1219 · If a+b+c=11 and a b+b c+c a=20, then the value of the expression a3+b3+c3-3 a b c will be

ABC26GN1221 · If a+b+c=0, the value of a2/b c+b2/c a+c2/a b is

ABC26GN1222 · If a=29, b=24, c=27, the value of a3+b3+c3- 3 a b c is

ABC26GN1223 · If (x2-1)/x=4, then (x6-1)/x3 is

ABC26GN1224 · (32)3+(79)3-(111)3+3 × 32 × 79 × 111 is equal to

ABC26GN1225 · If (x+y)=3, x y=2, then what is the value of x3+ y3 ?

ABC26GN1226 · The value of (x2-(y-z)2)/((x+z)2-y2)+(y2-(x-z)2)/((x+y)2-z2)+(z2-(x-y)2)/((y+z)2-x2) is · 2006

ABC26GN1227 · If p/a+q/b+r/c=1 and a/p+b/q+c/r=0 where a, b, c, p, q, r are non-zero real numbers, then p2/a2+q2/b2+r2/c2 is equal to

ABC26GN1228 · If x4-y4=15, then find the value of x4+y4, where x and y are natural numbers.

ABC26GN1229 · Along a yard 225 metres long, 26 trees are planted at equal distances, one tree being at each end of the yard. What is the distance between…

ABC26GN1230 · In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is…

ABC26GN1231 · A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence-posts at 6… · 2007

ABC26GN1233 · When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of… · 2010

ABC26GN1234 · There are x trees and y parrots. If in each tree only one parrot is sitting, then one parrot remains without a tree. If in each tree, two…

ABC26GN1235 · In a classroom, there are certain number of benches. If 6 students are made to sit on a bench, then to accommodate all of them, one more…

ABC26GN1236 · There are benches in a classroom. If 4 students sit on each bench, then three benches are left vacant and if 3 students sit on each bench…

ABC26GN1237 · Students of a class are preparing for a drill and are made to stand in rows. If 4 students are extra in a row, then there would be 2 rows… · 2006

ABC26GN1238 · If a sum of ₹ 275 is to be divided between Ram and Shyam so that Ram gets 3/4 th more of what Shyam gets, then the share of Ram will be

ABC26GN1239 · Sweets were distributed equally among 64 children. After giving 7 sweets to each child 15 sweets were left out. Total how many sweets were… · 2009