Odd One Out: IPMAT practice questions

Solution

59, 13, 43 are prime numbers.

33 = 3 × 11 is not prime.

Solution

97, 23, 47 are prime numbers.

27 = 3 × 9 is not prime.

Solution

8, 729, 125 are perfect cubes.

734 is not.

Solution

The digits of 436, 454, 832 add up to 13.

The digits of 444 add up to 12.

Solution

ISLAND, OFFICE, ORANGE begin with a vowel.

PLACE begins with a consonant.

Solution

The digits of 396, 936, 972 add up to 18.

The digits of 658 add up to 19.

Solution

324, 36, 225 are perfect squares.

323 is not.

Solution

96, 64, 88 are multiples of 8.

65 is not divisible by 8.

Solution

144, 81, 16 are perfect squares.

358 is not.

Solution

In CGK, DHL, RVZ each letter is 4 places after the previous one.

In JNS the second gap is 5.

Solution

187, 153, 170 are multiples of 17.

220 is not divisible by 17.

Solution

3-26, 7-342, 8-511 follow n³ − 1.

6-214 does not: n³ − 1 for 6 gives 215.

Solution

In DFH, RTV, UWY each letter is 2 places after the previous one.

In EGJ the second gap is 3.

Solution

3-9, 7-49, 8-64 follow n².

6-35 does not: n² for 6 gives 36.

Solution

8-520, 3-30, 7-350 follow n³ + n.

5-132 does not: n³ + n for 5 gives 130.

Solution

89, 17, 67 are prime numbers.

21 = 3 × 7 is not prime.

Solution

The digits of 354, 381, 507 add up to 12.

The digits of 128 add up to 11.

Solution

56, 91, 28 are multiples of 7.

93 is not divisible by 7.

Solution

In EGI, GIK, TVX each letter is 2 places after the previous one.

In NPS the second gap is 3.

Solution

The others are insects (six legs); a spider has eight legs.

Solution

In FU, EV, BY the two letters are opposites (positions add to 27).

In MM they add to 26.

Solution

ORANGE, OFFICE, ISLAND begin with a vowel.

CAMPUS begins with a consonant.

Solution

The others are leafy vegetables; carrot is a root.

Solution

In HS, LO, CX the two letters are opposites (positions add to 27).

In MO they add to 28.