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Question : The production of AB company increased by 10% after one year, and in the next year, it increased by 22%. In the third year, it increased by 5%. What overall change (in %) has been there in the production in three years from the original production?
Option 1: 41.5%
Option 2: 40.9%
Option 3: 41.2%
Option 4: 42.8%
Correct Answer: 40.9%
Solution : Let the initial Production be 100. The production of AB company after 1 year with a 10% increase = 110 The production of AB company after 2 years with a 22% increase = $110+\frac{22}{100}\times 110=134.2$ The production of AB company after 3 years with a
Question : Directions: In the following question letters are skipped between by following a particular rule. Which of the following series observes the rule?
Option 1: BDFIJ
Option 2: DGJLM
Option 3: BDHPF
Option 4: ACFHJ
Correct Answer: BDHPF
Solution : Let's check the option – First option: BDFIJ; B + 2 = D; D + 2 = F; F + 3 = I; I + 1 = J Second option: DGJLM; D + 3 = G; G + 3 = J; J + 2 =
Question : Directions: Facing the East, Rahul turned left and walked 10 metres, then he turned to his left again and walked 10 metres. He then turned towards his right and went straight to cover 25 metres. In which direction is he from his starting point?
Option 1: North-West
Option 2: North-East
Option 3: South-West
Option 4: South-East
Correct Answer: North-West
Solution : Firstly, we will draw the diagram as per the given instructions –
So, Rahul is in the northwest direction from the starting point. Hence, the first option is correct.
Question : Directions: The given pie chart shows the cars sold by a company in 2015–2016 of different models.
If the number of cars in model D is 40,500, then how many more cars in model E are sold than those in model A?
Option 1: 8,100
Option 2: 16,200
Option 3: 24,600
Option 4: 13,500
Correct Answer: 13,500
Solution : Number of cars sold in model D = $40,500$ $90^{\circ}$ ⇒ $40,500$ $1^{\circ}$ ⇒ $\frac{40500}{90}$ = $450$ Number of cars sold in model E = $75^{\circ}$ Number of cars sold in model A = $45^{\circ}$ Number of cars sold in model E is more than
Question : Directions: Select the number–pair in which the two numbers are related in the same way as the two numbers of the following number–pair. 14 : 588
Option 1: 20 : 980
Option 2: 18 : 972
Option 3: 12 : 666
Option 4: 11 : 344
Correct Answer: 18 : 972
Solution : Given: 14 : 588
The second term is divided by the first term is equal to one–third of the first term. Here in, 14 : 588→588 ÷ 14 = 42 = 14 × 3 Let's check the options – First option: 20 :
Question : "Wings of Fire" is the autobiography of _______.
Option 1: Zakir Hussain
Option 2: Rajendra Prasad
Option 3: A. P. J. Abdul Kalam
Option 4: K. R. Narayanan
Correct Answer: A. P. J. Abdul Kalam
Solution : The correct option is A. P. J. Abdul Kalam.
Dr. A. P. J. Abdul Kalam, popularly known as the Missile Man of India, wrote his autobiography, Wings of Fire (1999). He co-wrote it with Arun Tiwari. The book provides insights into
Question : In 2022, Chief Minister M. K. Stalin introduced the "Pudhumai Penn" (Modern women) programme, under which all female students enrolled in government schools from classes 6 through 12 will receive _________ each month to pursue higher education.
Option 1: 2,000
Option 2: 2,500
Option 3: 1,500
Option 4: 1,000
Correct Answer: 1,000
Solution : The correct option is 1,000.
The "Pudhumai Penn" programme introduced by Chief Minister M. K. Stalin in 2022 provides Rs. 1,000 monthly to all female students enrolled in government schools from classes 6 through 12 pursuing higher education. This scholarship, aimed at supporting girls'
Question : The ratio of the number of boys to girls in a school is 5 : 2. If 87% of the boys and 80% of the girls passed in the annual exams, then find the percentage of students who failed in the annual exams.
Option 1: 18%
Option 2: 16%
Option 3: 15%
Option 4: 17%
Correct Answer: 15%
Solution : The ratio of boys and girls is 5 : 2. Let us assume the total number of boys and girls is 500 and 200, respectively. 87% of the boys passed. So, 13% of boys failed. Number of boys failed = $500 \times \frac{13}{100}$ = 65
Question : From a cask of milk containing 64 litres, 8 litres are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the proportion of milk to water in the resulting mixture?
Option 1: 343 : 179
Option 2: 333 : 169
Option 3: 443 : 179
Option 4: 343 : 169
Correct Answer: 343 : 169
Solution : The amount replaced by water each time is 8 litres. The amount of milk = Original amount$\times(1- \frac{\text{Amount replaced by water}}{\text{Original Amount}})^n$, where $n$ = No. times process repeated So, the amount of milk $= 64\times (1-\frac{8}{64})^3$ $= 64\times (1-\frac{1}{8})^3$ $= 64\times (\frac{7}{8})^3$
Question : The pie chart given below shows the price of 6 different articles. The total price of all these 6 articles is 5040. The price of a particular article is shown in terms of degree concerning the total price of all these 6 articles. Which of the following statements is NOT correct? I. The total price of A1, A2, A4, and A6 is 2772. II. The difference between the total price of A3 and A5 together and the total price of A4 and A6 together is 488.
Option 1: Only I
Option 2: Both I and II
Option 3: Only II
Option 4: Neither I nor II
Correct Answer: Only II
Solution : The total price of A1, A2, A4, and A6 is 2772. $\frac{\text{Sum of degrees of A3 and A5}}{\text{Total degrees in the pie chart}}$ × Total price Total Price = 5040 ⇒ Price of A1 = $\frac{32}{360}$ × 5040 = 448 ⇒ Price of A2
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