Choose the pair that has the same relationship as 9 : 81.
Solution
9 : 81 follows n².
Only 7 : 49 follows the same rule.
24 questions. Each is marked with the exam level it suits. Answer, then open the step-by-step solution.
Choose the pair that has the same relationship as 9 : 81.
9 : 81 follows n².
Only 7 : 49 follows the same rule.
5 : 124 :: 3 : ?
The rule is n³ − 1: 5 → 124.
So 3 → 26.
BDF : DFH :: HOME : ?
Each letter of BDF moves 2 places forward to give DFH.
Doing the same to HOME: JQOG.
WORLD : 72 :: FRUIT : ?
The number is the sum of the letter positions: 23 + 15 + 18 + 12 + 4 = 72.
For FRUIT: 6 + 18 + 21 + 9 + 20 = 74.
11 : 120 :: 7 : ?
The rule is n² − 1: 11 → 120.
So 7 → 48.
TREE : 48 :: YOUTH : ?
The number is the sum of the letter positions: 20 + 18 + 5 + 5 = 48.
For YOUTH: 25 + 15 + 21 + 20 + 8 = 89.
Shoe : Leather :: Tyre : ?
Shoe is related to Leather in the same way as Tyre is related to Rubber.
LGQ : QGL :: RTB : ?
LGQ → QGL: the letters are reversed.
So RTB → BTR.
5-10-15 :: 2-4-?
The pattern is n, 2n, 3n: 5-10-15.
For 2: 2-4-6.
BY : CX :: IR : ?
BY is a letter and its opposite (positions add to 27). The next pair takes the next letter and its opposite: CX.
So IR → JQ.
HOME : JQOG :: RED : ?
Each letter of HOME moves 2 places forward to give JQOG.
Doing the same to RED: TGF.
Painter : Brush :: Writer : ?
Painter is related to Brush in the same way as Writer is related to Pen.
3-9-27 :: 4-16-?
The pattern is n, n², n³: 3-9-27.
For 4: 4-16-64.
7-14-21 :: 4-8-?
The pattern is n, 2n, 3n: 7-14-21.
For 4: 4-8-12.
8 : 63 :: 7 : ?
The rule is n² − 1: 8 → 63.
So 7 → 48.
Choose the pair that has the same relationship as 6 : 180.
6 : 180 follows n³ − n².
Only 5 : 100 follows the same rule.
Doctor : Hospital :: Teacher : ?
Doctor is related to Hospital in the same way as Teacher is related to School.
HS : IR :: KP : ?
HS is a letter and its opposite (positions add to 27). The next pair takes the next letter and its opposite: IR.
So KP → LO.
AZ : BY :: KP : ?
AZ is a letter and its opposite (positions add to 27). The next pair takes the next letter and its opposite: BY.
So KP → LO.
Choose the pair that has the same relationship as 6 : 42.
6 : 42 follows n(n + 1).
Only 9 : 90 follows the same rule.
DPS : SPD :: AFL : ?
DPS → SPD: the letters are reversed.
So AFL → LFA.
STONE : 73 :: GHOST : ?
The number is the sum of the letter positions: 19 + 20 + 15 + 14 + 5 = 73.
For GHOST: 7 + 8 + 15 + 19 + 20 = 69.
DCN : NCD :: GTA : ?
DCN → NCD: the letters are reversed.
So GTA → ATG.
BDF : ACE :: RED : ?
Each letter of BDF moves 1 place backward to give ACE.
Doing the same to RED: QDC.
These are original practice questions written by Target Campus in the pattern, syllabus and difficulty of IPMAT Indore, IPMAT Rohtak, JIPMAT, NPAT and SET. They are not previous-year papers.