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Question : Considering the five-year plans of India, which of the following is correctly matched?
I. Rolling Plan – Introduced before the Sixth Five-Year Plan II. Mahalanobis Plan – Second Five-Year Plan
Option 1: Only I
Option 2: Both I and II
Option 3: Only II
Option 4: Neither I nor II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
The Rolling Plan was a flexible planning strategy that did not have a fixed time frame. It was adopted during the period between the Fourth and Fifth Five-Year Plans and continued until the
Question : A man purchased some oranges at the rate of 3 for Rs. 40 and the same quantity at 5 for Rs. 60. If he sells all the oranges at the rate of 3 for Rs. 50, find his gain or loss percentage (to the nearest integer).
Option 1: 32% profit
Option 2: 31% loss
Option 3: 34% loss
Option 4: 31% profit
Correct Answer: 32% profit
Solution : Let the man purchase 15 oranges of each type (least common multiple of 3 and 5). The cost price of the first type = $\frac{40}{3}×15=200$ The cost price of the second type = $\frac{60}{5}×15=180$ The total cost price = 200 + 180 = 380
Question : Select the most appropriate synonym of the underlined word. The foreign company is chary of investing in Africa.
Option 1: keen
Option 2: fervent
Option 3: confident
Option 4: cautious
Correct Answer: cautious
Solution : The fourth option is correct.
Chary suggests a wariness or reluctance, often accompanied by a sense of being spared or cautious when taking risks. On the other hand, cautious emphasises general prudence and carefulness in actions to avoid potential harm or mistakes.
The meanings of
Question : A sum of Rs. 15525 is divided among Sunil, Anil, and Jamil such that if Rs. 22, Rs. 35, and Rs. 48 are diminished from their shares, respectively, their remaining sums shall be in the ratio 7 : 10 : 13. What would have been the ratio of their sums if Rs. 16, Rs. 77, and Rs. 37, respectively, were added to their original shares?
Option 1: 9 : 13 : 17
Option 2: 18 : 26 : 35
Option 3: 36 : 52 : 67
Option 4: None of these
Correct Answer: 36 : 52 : 67
Solution : Total sum = Rs.15525 Distributed sum = 15525 – 22 – 35 – 48 = Rs.15420 The ratio of remaining share = 7 : 10 : 13 New share of Sunil = ($\frac{7}{7+10+13}$ × 15420) + 22 + 16 = ($\frac{7}{30}$
Question : Directions: The expenditure of a family in a month is represented by a pie chart. Read it carefully to answer the question.
The ratio of the amount spent on food and clothes is:
Option 1: 4 : 1
Option 2: 4 : 5
Option 3: 5 : 1
Option 4: 2 : 5
Correct Answer: 5 : 1
Solution : The amount spent on food = 150° The amount spent on clothes = 30° The ratio of the amount spent on food and clothes is 150 : 30 = 5 : 1 Hence, the correct answer is 5 : 1.
Question : A bus travels 60 km in the first hour, 40 km in the second hour and 50 km in the third hour. What is the average speed of the bus?
Option 1: 60 km/hr
Option 2: 45 km/hr
Option 3: 50 km/hr
Option 4: 55 km/hr
Correct Answer: 50 km/hr
Solution : The sum of the distances travelled in each of the three hours: Total distance = 60 km + 40 km + 50 km = 150 km Now, let's find the total time taken. ⇒ Total time = 1hour + 1hour + 1hour = 3hours
Question : The following pie chart shows the contribution (in Rs.) of some investors in the corpus fund of a company. If the total contribution by these investors is 100%, then what is the percentage contribution of Rakesh in the corpus fund?
Option 1: 17.30%
Option 2: 18.12%
Option 3: 17.95%
Option 4: 16.95%
Correct Answer: 17.30%
Solution : From the given pie chart, Contribution by Sahil = Rs. 74.30, Rakesh = Rs. 75.00, Sonia = Rs. 77.50, Kapil = Rs. 69.05, Preeti = Rs. 70.00 and Tannu = Rs. 67.52 So, the total contribution = 74.30 + 75.00 + 77.50 + 69.05 +
Question : Directions: What will come in the place of (?) in the following equation, if + and × are interchanged and also 5 and 9 are interchanged? 3 + 9 – 6 × 5 ÷ 3 = ?
Option 1: 10
Option 2: 16
Option 3: 12
Option 4: 14
Correct Answer: 12
Solution : Given: 3 + 9 – 6 × 5 ÷ 3 = ?
On interchanging the mathematical signs and numbers, we get – = 3 × 5 – 6 + 9 ÷ 3 = 3 × 5 – 6 + 3 = 15 – 6 +
Question : How many principles are in the UN Charter?
Option 1: 4
Option 2: 6
Option 3: 7
Option 4: 8
Correct Answer: 6
Solution : The correct option is 6.
The Charter of the United Nations outlines 6 main principles. These principles are often referred to as the " Purposes and Principles" of the United Nations and are stated in
Question : If $P=2^2+6^2+10^2+14^2+....+ 94^2$ and $Q=1^2+5^2+9^2+...+81^2$, then what is the value of $P - Q$?
Option 1: 24645
Option 2: 26075
Option 3: 29317
Option 4: 31515
Correct Answer: 26075
Solution : Given: $P=2^2+6^2+10^2+14^2+....+94^2$ and $Q=1^2+5^2+9^2+...+81^2$ $⇒P-Q = (2^{2}-1^{2})+(6^{2}-5^{2})+(10^{2}-9^{2})+....+(82^{2}-81^{2})+86^{2}+90^{2}+94^{2}$ $⇒P-Q=3+11+19+27+.......+163(\text{A.P. with 21 terms})+86^{2}+90^{2}+94^{2}$ $⇒P-Q=\frac{21}{2}[2×3+(21–1)8]+86^{2}+90^{2}+94^{2}$ $⇒P-Q=\frac{21}{2}[6+(20)8]+86^{2}+90^{2}+94^{2}$ $⇒P-Q=\frac{21}{2}[166]+(90-4)^{2}+90^{2}+(90+4)^{2}$ $⇒P-Q=1743+(90^{2}-2×90×4+4^{2})+90^{2}+(90^{2}+4^{2}+2×90×4)$ $⇒P-Q=1743+8100+16+8100+8100+16$ $\therefore P-Q=26075$ Hence, the correct answer is 26075.
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