1. x4 – ax3 + bx2 – cx + 8 = 0 divided by x – 1 leaves a remainder of 4, divided by x + 1 leaves remainder 3, find b.

1. 5
2. -5.5
3. 5
4. 5
Answer: Option B Explanation: Let f(x) = x4 – ax3 + bx2 – cx + 8 f(1) = 4 1 – a + b – c + 8 = 4 –a + b – c = – 5 …… Eqn (1) f(–1) = 3 1 + a + b + c + 8 = 3 a + b + c = – 6 …… Eqn (2) Adding Equation (1) and (2) we have 2b = -11, or b = -5.5
[/vc_column_text][vc_column_text]2. Answer the question based on the chart below: In how many of the given years was the exports at least 10% more than the imports? (A) 0       (B) 1       (C) 2        (D) 3       (E) 4
Answer: Option C Explanation: In 1994, exports = 10% of 70 = 7. 70+7 = 77.  80>77 in 1995, exports \$= 130 in i996, exports => We need not consider this year In l997, exports =10% of 100 = 10.  100+10 = 110.  112>110 In 1998, exports \$= 170 In 1999, exports \$= 160 => The given condition was satisfied in two years.
[/vc_column_text][vc_column_text]3. Directions : Study the following information carefully and answer the questions given below: M, D, P, K, R, T and W are around a circle facing at the centre. D is second to the right of P who is third to the right of K. T is third to the right of W who is not an immediate neighbour of D. M is third to the left of R. Question 1: Who is second to the right of T? (a) D (b) K (c) M (d) Data inadequate (e) None of these Question 2: In which of the following pairs is second person sitting to the immediate right of the first person? (a) DT (b) TP (c) PR (d) KW (e) None of these Question 3: Who is to the immediate left of R? (a) W (b) P (c) K (d) T (e) None of these
Answer: Option C Explanation: From the given information, we can make the following table . Answer 1: (c) M is to the second to the right of T. Answer 2: (d) W is to the right of K. Answer 3: (a) W is to the immediate left of R.
[/vc_column_text][vc_column_text]4. Identify the error in the sentence given below: [A] Forty percent of the people alive today have [B] never made a phone call, but [C] thirty percent still have no electricity connections [D] to their homes. [E] no error
Explanation: Since the flow of information is in the same direction, the two parts of the sentence should be connected by conjunction ‘and’ not by ‘but’. The conjunction ‘But’ is used when the flow of information is in opposite direction
[/vc_column_text][vc_column_text]5. The World Day for Cultural Diversity for Dialogue and Development is observed on which date? [A] May 22 [B] May 21 [C] May 23 [D] May 24
Answer: Option B Explanation: The World Day for Cultural Diversity for Dialogue and Development is observed every year on May 21 to bridge the gap between different cultures. The day is an opportunity to help communities understand the value of cultural diversity and learn how to |live together in harmony. This day was created as a result of the destruction of the Buddha statues of Bamiyan in Afghanistan in 2001. The 2017 theme is “Local Culture as a Driver for Economic Growth”.
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