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Question : A shopkeeper offers two successive discounts of 15% and 20% on an article and is still able to earn a 70% profit. If he offers a single discount of 30%, what will his profit percentage be?
Option 1: 70%
Option 2: 75%
Option 3: 65%
Option 4: 50%
Correct Answer: 75%
Solution : Given, Successive discounts = 15% and 20% Profit = 70% We know, Selling Price = $\frac{100+\text{Profit%}}{100}\times$ CP, where CP is the cost price. Let the cost price of an article be Rs. 100 ⇒ Price after first discount of 15% = 100 – 15% of 100 = Rs. 85 ⇒ Price after second discount of 20% = 85 – 20% of 85 = 85 − 17 = Rs. 68 So, the original cost Price = $\frac{100}{100+70}$ × 68 = $\frac{10}{17}$ × 68 = Rs. 40 To sell the article at a 30% discount, Selling Price = 100 − $\frac{30}{100}$ × 100 = Rs. 70 ⇒ Profit = SP – CP = 70 – 40 = Rs. 30 ⇒ Profit Percentage = $\frac{\text{Profit}}{\text{CP}}$ × 100 = $\frac{30}{40}$ × 100 = 75% Hence, the correct answer is 75%.
Question : If $a= 9.6,b= 4.44,$ and $c= 5.16$, then the value of $a^3- b^3- c^3- 3 abc$ is:
Option 1: 0
Option 2: –1
Option 3: 2
Option 4: 1
Correct Answer: 0
Solution : Given: $a= 9.6,b= 4.44,$ and $c= 5.16$ We know, If $a-b-c=0,$ then $a^3-b^3-c^3-3abc=0$ Here, $a-b-c=9.6-4.44-5.16=0$ So, $a^3-b^3-c^3-3abc=0$ Hence, the correct answer is 0.
Question : The President can dismiss members of the Council of Ministers
Option 1: with the consent of the Speaker
Option 2: only under emergency conditions
Option 3: on the recommendation of the Prime Minister
Option 4: on his own
Correct Answer: on the recommendation of the Prime Minister
Solution : The correct answer is on the recommendation of the Prime Minister.
The President appoints the council of ministers and gives each member of the council their appropriate portfolios based on the Prime Minister's recommendation. Upon his recommendation, the President may dismiss any minister from the council of ministers. Article 74 of the Indian Constitution grants the Council of Ministers the power to support and counsel the President.
Question : Which of these statements is correct with regard to the appointment of the chairperson of the National Human Rights Commission?
Option 1: He or she has to be a retired Chief Justice of India.
Option 2: He or she has to be a retired Supreme Court Judge.
Option 3: He or she has to be a serving or retired Chief Justice of a High Court.
Option 4: He or she should have demonstrated experience as a Human Rights activist.
Correct Answer: He or she has to be a retired Chief Justice of India.
Solution : The correct answer is that He or she has to be a retired Chief Justice of India.
The National Human Rights Commission was established as a statutory body under the Protection of Human Rights Acts, 1993. It was established in adherence to the Universal Declaration of Human Rights. It has five members and one chairman. A retired Chief Justice of India or a judge of the Supreme Court can become its chairman.
Question : Short-term contractions and expansions in economic activity are called ____________.
Option 1: expansions
Option 2: recessions
Option 3: deficits
Option 4: business cycle
Correct Answer: business cycle
Solution : The correct answer is a business cycle.
The business cycle refers to the short-term contractions and expansions of economic activity. The business cycle is a cyclical pattern of economic expansion and contraction. It is distinguished by intervals of growth and contraction.
Question : In a cyclic quadrilateral ABCD, the side AB is extended to a point X. If $\angle XBC=82°$ and $\angle ADB=47°$, then the value of $\angle BDC$ is:
Option 1: 40°
Option 2: 35°
Option 3: 30°
Option 4: 25°
Correct Answer: 35°
Solution : Given: In a cyclic quadrilateral ABCD, $\angle XBC=82°$ and $\angle ADB=47°$. A cyclic quadrilateral's exterior angle is equal to its opposite interior angle. So, $\angle XBC= \angle ADC=82°$. Also, $\angle ADB=47°$ ⇒ $\angle BDC=82°-47°$ ⇒ $\angle BDC=35°$ Hence, the correct answer is 35°.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Suresh has joined a ______ course.
Option 1: two year's
Option 2: two years
Option 3: two year
Option 4: one years
Correct Answer: two year
Solution : The third option is the correct choice.
Therefore, the complete sentence is: "Suresh has joined a two-year course."
Question : Select the option that can be used as a one-word substitute for the given group of words/phrase. A person who has features of extrovert and introvert
Option 1: Stoic
Option 2: Ambivert
Option 3: Ambiguous
Option 4: Dual
Correct Answer: Ambivert
Solution : The correct choice is the second option.
Ambivert: It denotes a person who has a balance of extrovert and introvert features in their personality.
The meanings of the other options are:
Therefore, the correct word will be ambivert.
Question : If Ashish can complete $\frac{2}{3}$rd the work in 22 days. In how many days will he complete the whole work?
Option 1: 15 days
Option 2: 30 days
Option 3: 22 days
Option 4: 33 days
Correct Answer: 33 days
Solution : Given: Ashish can complete $\frac{2}{3}$rd the work in 22 days. The number of days he will complete the whole work $=22 × \frac{3}{2} = 11 × 3 = 33$ days Hence, the correct answer is 33 days.
Question : Directions: Which number will replace the question mark (?) in the following series 17, 51, 58, 116, 123, 123, ?
Option 1: 150
Option 2: 130
Option 3: 140
Option 4: 120
Correct Answer: 130
Solution : Given: 17, 51, 58, 116, 123, 123, ?
Multiply the decreasing order of the numbers starting from 3, and add 7 alternately to the given numbers – 17 × 3 = 51; 51 + 7 = 58; 58 × 2 = 116; 116 + 7 = 123; 123 × 1 = 123; 123 + 7 = 130
So, 130 is the missing number of the series. Hence, the second option is correct.
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