UKPSC FRO (Forest Range Officer) Pre Exam Paper 28 Nov 2021 (Official Answer Key)

121. If 2^x = 3^y = 12^z, Then the value of 1/z – 1/y is :
(a) 2/x
(b) 1/x
(c) -1/x
(d) -2/x

122. If a^1/3 + b^1/3 + c^1/3 = 0, then the value of (a + b + c)³ is :
(a) 3abc
(b) 9abc
(c) 27abc
(d) None of these

123. LCM of 14/33, 42/55, 21/22 is:
(a) 42/22
(b) 42/11
(c) 21/42
(d) 11/42

124. The missing number ? is :

(a) 7
(b) 25
(c) 49
(d) 129

125. The ratio of ages of father and the son at present is 5:1. After 12 years the ratio will become 3:1. What is the sum of present ages of the father and the son ?
(a) 76 yrs
(b) 77 yrs
(c) 74 yrs
(d) 72 yrs

126. A square is drawn by joining the mid points of the sides of a given square. A third square is drawn inside the second square in the same way and the process is continued indefinitely. If the side of the first square is 4 cm, the sum of the area of all the squares is :
(a) 16 sq. cm
(b) 32 sq. cm
(c) 8 sq. cm
(d) 64 sq. cm

127. Complete the following series :
0, 6, 24, 60, 120, 210, __
(a) 240
(b) 290
(c) 336
(d) 504

128. Six people P,Q,R,S,T and U are sitting in a circular path who are facing centre. R is third from P in the right. Q is third from T in the left, U is between P and T and S is third from U in the left. The order of these 6 people in clockwise direction is :
(a) SQRUTP
(b) TSRQUP
(c) SRTUPQ
(d) SQPUTR

129. Number of triangles in the following figure is :

(a) 8
(b) 10
(c) 12
(d) 11

130. The diagram given below shows the number of students who got distinction in three different subjects out of 500 students. The percentage of students who got distinction in exactly two subjects is :

(a) 8%
(b) 9%
(c) 10%
(d) 12%

131. The sum of the following infinite series is :

(a) log_e6
(b) log_e2 – log_e3
(c) log_e3 – log_e2
(d) – log_e6

132. If a man takes 2 hrs either to row 7 km upstream or 15 km downstream, the speed of the 11 current in (kmph) is :
(a) 1
(b) 2
(c) 3
(d) 4

133. How many extra lines are needed to join all the distinct pairs of letters of the given figure ?

(a) 40
(b) 25
(c) 24
(d) 20

134. The odd number pair in the following options is :
(a) 26, 4
(6) 226, 14
(c) 274, 16
(d) 82, 8

135. If the 25th of August in a year is Thursday, the number of Mondays in that month is :
(a) 4
(b) 5
(c) 6
(d) None of these

136. In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the number of questions he attempts correctly, is :
(a) 38
(b) 40
(c) 42
(d) 45

137. Find the term which does not fit into the series :
1CV, 5FU, 9IT, 15LS, 17OR
(a) 9IT
(b) 15LS
(c) 17OR
(d) 5FU

138. How many numbers from 1 to 100 are there each of which is not only exactly divisible by 4 but also has 4 as its digit?
(a) 7
(b) 8
(c) 18
(d) 25

139. If x < y and x < z, which of the following statements are always true ? Assume x ≥ 0:
I : y < x
II : x <yz
III : 2x < y+z
(a) Only I
(b) Only II
(c) Only III
(d) II and III

140. Find odd one out from the following alternatives :
(a) Mridang
(b) Veena
(c) Sitar
(d) Sarangi