BPSC 67th Combined Competitive Pre Exam – 8 May 2022 (Answer Key) in English

141. How many numbers between 200 and 600 are divisible by 4, 5 and 6?
(A) 4
(B) 5
(C) 6
(D) 8
(E) None of the above/ More than one of the above

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Answer – (C)

142. If n is any positive integer, then (3⁴ⁿ – 4³ⁿ) is always divisible by
(A) 7
(B) 17
(C) 112
(D) 145
(E) None of the above/More than one of the above

143. The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are
(A) 600, 400
(B) 640, 360
(C) 628, 372
(D) 650, 350
(E) None of the above/More than one of the above

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Answer – (C)

144. The value of log _√2 (32) is
(A) 5/2
(B) 5
(C) 10
(D) 1/10
(E) None of the above/More than one of the above

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Answer – (A)

145. By selling 45 lemons for ₹40, a man loses 20%. How many should he sell for ₹24 to gain 20% in the trans action?
(A) 16
(B) 18
(C) 20
(D) 22
(E) None of the above/More than one of the above

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Answer – (A)

146. A train 110 m long is travelling at a speed of 58 kmph. The time in which it will pass a passerby walking at 4 kmph in the same direction is
(A) 6 seconds
(B) 7 1/2 seconds
(C) 7 1/3 seconds
(D) 8 seconds
(E) None of the above/More than one of the above

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Answer – (C)

147. The perimeter of a rhombus is 52 m and its shorter diagonal is 10 m. The length of the longer diagonal is
(A) 12 m
(B) 18 m
(C) 10 m
(D) 24 m
(E) None of the above/More than one of the above

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Answer – (D)

148. in a 100 m race, A runs at 8 kmph. If A gives B a start of 4 m and still beats him by 15 seconds, what is the speed of B?
(A) 5 kmph
(B) 5.76 kmph
(C) 6 kmph
(D) 6.34 kmph
(E) None of the above/More than one of the above

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Answer – (B)

149. A clock is set right at 8 amThe clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?
(A) 12 noon
(B) 48 minutes past 12 noon
(C) 1 p.m
(D) 2 p.m.
(E) None of the above/More than one of the above

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Answer – (B)

150. The value of the continued fraction
BPSC 67th Preliminary Exam 2022 (Answer Key)
(A) 1
(B) -1
(C) 2
(D) 0
(E) None of the above/More than one of the above