MAT (Stage-1) Mock Test - 54

The relationship is n : n² - n. The missing term can be calculated as shown below. (12² - 12) = 144 - 12 = 132.

Hence, the missing term is 132.

The sequence is a/b : (a³ - 1)/(b³ - 1). So, the missing fraction is (3³ - 1)/(4³ - 1) = (27 - 1)/(64 - 1) = 26/63.

The relationship is a/b : b²/a².
So, the missing term is 8²/5² = 64/25.

The first constitutes the second. A word consists of letters, in the same way a book consists of pages.

The first, second, third and fourth letters of the first group are respectively moved one, three, five and seven steps backward to obtain the corresponding letters of the second group.

The first and the fourth letter of the first group are respectively moved six steps forward and five steps backward, while the second and the third letter are each moved four steps backward to obtain the corresponding letters of the second group.

The first, second, third and fourth letters of the second group are respectively the third, fourth, second and first letters of the first group.

The given sequence consists of two series.
The first series shows 4, 8, 12, 16.
The second series shows 3, 6, 9.

In the given series, the pattern follows a trend of '+ 5'.
F + 5 = K
K + 5 = P
P + 5 = U
U + 5 = Z
Z + 5 = E
E + 5 = J

The pattern is as follows:
D (+2) F (+2) H (+2) J (+2) L
K (-1) J (-1) I (-1) H (-1) G
Y (-2) W (-2) U (-2) S (-2) Q

The number gets multiplied by 2, 3 and 4 to obtain the number of the next term, i.e. 2 x 2 = 4, 4 x 3 = 12 and 12 x 4 = 48.

The second letter in each term moves three step forward, i.e. A + 3 = D, D + 3 = G and G + 3 = J.

The last number increases by 2, 4 and 6, i.e. 11 + 2 = 13, 13 + 4 = 17 and 17 + 6 = 23.

The first element in each term is a letter and the letter moves three steps forward to obtain the corresponding letter of the next term, i.e. C + 3 = F, F + 3 = I and I + 3 = L.

The second element in each term is a number and the number is a square of the numbers starting from 2, i.e. 2² = 4; 3² = 9, 4² = 16 and 5² = 25.

The third element in each term is a letter and the letter moves three steps backward to obtain the corresponding letter of the next term, i.e. X - 3 = U, U - 3 = R and R - 3 = O.

The first element in each term is a letter and the letter moves two steps backward to obtain the corresponding letter of the next term, i.e. K - 2 = I, I - 2 = G, G - 2 = E and E - 2 = C.

The second element in each term is a letter and the letter moves three steps forward to obtain the corresponding letter of the next term, i.e. M + 3 = P, P + 3 = S, S + 3 = V and V + 3 = Y.

The third element in each term is a number and the number increase by three each time to obtain the corresponding number of the next term, i.e. 5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14 and 14 + 3 =17.

The series is given below:

m __ nm __ n __ an __ a __ ma __

The letter series follows the pattern of man/man/man/man/man

m a n m a n m a n m a n m a n

In 12 hours, both the hands of a clock form the same angle for a total of 11 times. As it is not mentioned in the question whether the hour hand or the minute hand must be ahead of the other, so they will be 6 minutes apart from each other for 22 times in 12 hours and hence, 44 times in a day.