UKPSC Lower PCS Pre Exam – 10 Nov 2016 (Official Answer Key)

121. In the following figure, ‘B’ represents businessmen, R represents rich men, and H represents honest men. Which number will represent rich businessmen ?

(a) 5
(b) 3
(c) 2
(d) 4

122. Which of the following does not belong to measure of central tendency ?
Mean Deviation, Arithmetic Mean, Median, Mode
(a) Mean Deviation
(b) Arithmetic Mean
(c) Median
(d) Mode

123. The algebraic sum of the deviations from the mean of any set of data is always
(a) Positive
(b) Infinite
(c) Zero
(d) Negative

124. The simple interest of a sum of money is equal to the half of the principal and the rate of interest is equal to half of the number of years. Find the number of years.
(a) 6
(b) 10
(c) 7
(d) 8

125. If the cost of five pencils and two copies is ₹ 225 and the cost of three copies and four pencils is ₹ 320, then what is the cost of one pencil ?
(a) ₹ 5
(b) ₹ 6
(c) ₹ 4
(d) ₹ 7

126. Insert the missing number in the following :
13 (70) 22
12 (60) 18
17 ( ? ) 26
(a) 76
(b) 96
(c) 116
(d) 86

127. In the following question, except one, all are alike in a certain way. Select the pair which is different from others.
Babar : Mughal
Kanishka : Kushan
Mahavira : Jainism
Chandragupta : Maurya
(a) Chandragupta : Maurya
(b) Kanishka : Kushan
(c) Mahavira : Jainism
(d) Babar : Mughal

128. In a class there are 35 students comprising of boys and girls. In a monthly test, the average score of the class was 18. The average score of girls and boys of the class was 22 and 15 respectively. Assuming that all the students appeared in the test, what is the number of boys in the class ?
(a) 18
(b) 15
(c) 17
(d) 20

129. Sohan bought some books one day, four times of them on the next day and eight books on the third day. In all, he bought 38 books. How many books did he buy the second day ?
(a) 24
(b) 6
(c) 8
(d) 16

130. There are five buses from Nainital to Dehradun and same number of buses from Dehradun to Nainital. If a man does not want to return to Nainital by the bus in which he went to Dehradun, in how many ways to and from journey can be performed between Nainital and Dehradun ?
(a) 24
(b) 20
(c) 16
(d) 12

131. Find the missing term in the following series :
B 23 Y, E 17 V, H 11 5, _____
(a) K 7 P
(b) K 5 P
(c) L 8 Q
(d) M 9 R

132. Which of the following numbers is completely divisible by 45 ?
(a) 181560
(b) 331145
(c) 202860
(d) 3033550

133. The sum of the interior angles of a regular polygon of 15 sides is
(a) 2340°
(b) 1800°
(c) 2520°
(d) 2160°

134. A train of length 135 metre is running with a speed of 49 km/hr. In what time it will pass a man who is walking at 5 km/hr in the direction opposite to that of the train ?
(a) 10 sec
(b) 9 sec
(c) 5 sec
(d) None of these

135. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of these numbers is
(a) 06
(b) 12
(c) 18
(d) 20

136. If n(A ∪ B) = 5, n(B) = 3 and n(A) = 4, then n(A ∩ B) is equal to
(a) 2
(b) 3
(c) 4
(d) 5

137. The illumination from a source of light varies inversely as the square of the distance. If initially a book is placed at 10 cm far from a candle, then how much farther a book be placed so as to receive just half as much light ?
(a) 10(√2 + 1) cm
(b) 10(√2-1) cm
(c) 100(√3 + 1) cm
(d) 56(√2 + 1) cm

138. If 5 @ 6 = 61 and 8 @ 10 = 164, then 7 @ 9 = ?
(a) 125
(b) 63
(c) 130
(d) 32

139. Look at this series :
80, 10, 70, 15, 60, ___
What number should come next ?
(a) 20
(b) 25
(c) 30
(d) 50

140. In how many ways, a group of 3 boys and 2 girls can be formed out of the total of 4 boys and 4 girls ?
(a) 15
(b) 16
(c) 20
(d) 24