MAT (Stage-1) Mock Test - 22

H is the 8^th letter of the English alphabet.
Then, K is the 11^th letter of the English alphabet which is 3 letters after the 8^th.
This trend continues throughout from one letter to the next.
Thus, the given answer is ILO.

In the given series, both the letters and the numbers are moving 2 steps forward. Hence, the letters in the fifth and sixth terms will be L and N, and the numbers in the fifth and sixth terms will be 12 and 14, respectively.

The first element is a number and the number increases by 4 to obtain the corresponding number in the next term i.e. 1 + 4 = 5, 5 + 4 = 9, 9 + 4 = 13, 13 + 4 = 17
The second element is a letter and the letter moves 3 steps forward to obtain the corresponding letter in the next term i.e. C + 3 = F, F + 3 = I, I + 3 = L, L + 3 = O
The third element is a letter and the letter moves one step backward to obtain the corresponding letter in the next term i.e. V - 1 = U, U - 1 = T, T - 1 = S, S - 1 = R
Therefore, in place of 15LS, it should be 13LS.

The first element is a letter, and the letter moves 2 steps forward to obtain the corresponding letter in the next term i.e. Q + 2 = S, S + 2 = U, U + 2 = W, W + 2 = Y
The second element is a number and the number series runs as follows:

1 × 1 + 1 = 2,
2 × 2 + 2 = 6,
6 × 3 + 3 = 21,
21 × 4 + 4 = 88

The third element is a letter, and the letter is moved one step backward to obtain the corresponding letters of the next term.i.e. F -1 = E, E - 1 = D, D - 1 = C, C - 1 = B

The series can be divided into two series, i.e. number series and letter series.
The number series is: 2, 9, 6, 13, ?
The letter series is: A, B, C, D
The number series follows the pattern of +7, -3, +7, -3.
Therefore, the next number is 13 - 3 = 10.

Using direct formula,

11/2 m = 30h, where m - minutes and h - hours
Time, between 3 o'clock and 4 o'clock, at which the hands will be together = 11/2 × m = 30 × 3
⇒ m = 180/11 = 16 4/11 minutes past 3 o'clock

Hour hand rotates 360^o in 12 hrs, so it rotates 30^o in 1 hour.
So, in 1 min, it rotates 0.5^o.
Minute hand rotates 6^o in 1 min.
So, angle at 8:45 = 0.25 x 30^o = 7.5^o
At 4:15, angle will be 0.25 x 30^o + 30^o = 7.5^o + 30^o = 37.5^o
So, 37.5^o + 0.5t + 7.5^o = 6t
45 = 5.5t

t = 90/11
Time = 15 + 90/11 = 255/11 = 23 2/11
Hence clock makes same angle at 23 2/11 minutes past 4 o'clock

First of all, match the number of letters of words in Column-I with the number of letters of codes in Column-II.
The letter T is common in (3), (4), (5) and (7) and the common code is 'j'.
The letter E is common in (3) and (4) and the common code is 'w'.
The letter A is common in (1), (2), (3), (6) and (7) and the common code is 'q'.
The letter R is common in (2) and (6) and the common code is 'n'.
Therefore, TEAR is coded as 'nqjw'.

First of all, match the number of letters of words in Column-I with the number of letters of codes in Column-II.
The letter E is common in (3) and (4) and the common code is 'w'.
The letter A is common in (1), (2), (3), (6) and (7) and the common code is 'q'.
The letter R is common in (2) and (6) and the common code is 'n'.
The letter C is only in (1) and the corresponding code is 'm'.
The letter H is common in (1) and (7) and the common code is 'v'.
Therefore, 'REACH is coded as 'mqwvn'.