Permutations and Combinations Test 4

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Permutations and Combinations Test 4

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Weekly Quiz Competition

Question 1
1 / -0

Arrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence.
1. Page 2. Pagan 3. Palisade 4. Pageant 5. Palate

A
$$1,4,2,3,5$$

B
$$2,4,1,3,5$$

C
$$2,1,4,5,3$$

D
$$1,4,2,5,3$$

Solution

Words 1,2 and 4 have first 3 letter as "pag" and words "3 and 5 have first 3 letters as "pal". So words starting with "pal" will come later than words starting with "pag" as in Alphabet set the letter "g" comes after letter "a".

The fourth letter of word 5 is "a" and of word 3 is "i" hence word 3 will be the last in order.
So choice A and B are incorrect and the answer will be either C or D.

Simply arranging the 4th letter of words 1,2 and 4 will give the correct sequence choice as C.
Question 2
1 / -0

A, CD, GHI, .... UVWXY

A
LMNO

B
MNOL

C
NOPQ

D
MNOP

E
none of these

Solution

The number of letters in each term is increasing by one First letter of each term is +1, +3, +5
Question 3
1 / -0

Refer Diagram

A
8

B
9

C
7

D
12

E
10

Solution

The number inside the triangle is equal to the sum of the numbers obtained by multiplying number o either side of the triangle with the base number.
Thus, $$3 \times 1 + 3 \times 2 = 9$$
$$5 \times 2 + 3 \times 2 = 16$$
Hence, the missing term is: $$4 \times 1 + 5 \times 1 = 9$$
Question 4
1 / -0

abb - baa - a - bab - ab

A
abba

B
abab

C
ccac

D
aabb

Solution

The series is abba/baab/abba/baab
Thus the pattern abba baab is repeated
Question 5
1 / -0

C 4X, F9U, I 16 R

A
K 25 P

B
L 25 P

C
L 25 O

D
L 27 P

E
none of these

Solution

+3; $$\displaystyle 2^{2}$$, $$\displaystyle 3^{2}$$, $$\displaystyle 4^{2}$$, $$\displaystyle 5^{2}$$,-3
Question 6
1 / -0

a- ca - bc - bcc - bca

A
bbaa

B
bbab

C
abbb

D
baba

Solution

The series is abcab/ bcabc/ cabca
Question 7
1 / -0

cccbb - aa - cc - bbbaa -

A
acbc

B
baca

C
baba

D
acba

Solution

The series is c c c b b b a a a / c c c b b b a a a
Question 8
1 / -0

- - aba - - ba - ab

A
abbba

B
abbab

C
baabb

D
bbaba

Solution

The series is ab/ab/ab/ab/ab/ab
Question 9
1 / -0

aab - aaa- bba -

A
baa

B
abb

C
bab

D
aab

Solution

The series is a a b b a a / a a b b a a
Question 10
1 / -0

c - bba - cab - ac - ab - ac

A
abcbc

B
acbab

C
babcc

D
bcacb

Solution

The series is cab/bac/cab/ bac/cab/ bac
Thus the pattern cab bac is repeated

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Permutations and Combinations Test 4

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Permutations and Combinations Test 4

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Question 1

$$1,4,2,3,5$$

$$2,4,1,3,5$$

$$2,1,4,5,3$$

$$1,4,2,5,3$$

Solution

Question 2

LMNO

MNOL

NOPQ

MNOP

none of these

Solution

Question 3

8

9

7

12

10

Solution

Question 4

abba

abab

ccac

aabb

Solution

Question 5

K 25 P

L 25 P

L 25 O

L 27 P

none of these

Solution

Question 6

bbaa

bbab

abbb

baba

Solution

Question 7

acbc

baca

baba

acba

Solution

Question 8

abbba

abbab

baabb

bbaba

Solution

Question 9

baa

abb

bab

aab

Solution

Question 10

abcbc

acbab

babcc

bcacb

Solution

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