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Question : The average weight of 49 students is 53 kg. When a new student is admitted to the class, the average decreases by 500 g. Find the weight of the new student.
Option 1: 48 kg
Option 2: 18 kg
Option 3: 28 kg
Option 4: 38 kg
Correct Answer: 28 kg
Solution : Given, The average weight of 49 students is 53 kg. We know that Total = Average × Number of observations ⇒ Total weight of 49 students = 53 × 49 = 2597 Now, when a new student is admitted to the class, the average
Question : Directions: Select the odd group of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 13 – 159
Option 2: 9 – 71
Option 3: 5 – 31
Option 4: 17 – 279
Correct Answer: 5 – 31
Solution : Let's check the options – First option: 13 – 159→(13)2 = 169; 169 – 10 = 159 Second option: 9 – 71→(9)2 = 81; 81 – 10 = 71 Third option: 5 – 31→(5)2 = 25; 25 – 10 =
Question : If areas of similar triangles $\triangle {ABC}$ and $\triangle {DEF}$ are $ {x}^2 \ \text{cm}^2$ and $ {y}^2 \ \text{cm}^2$, respectively, and EF = a cm, then BC (in cm) is:
Option 1: $\frac{y^2}{a^2 x^2}$
Option 2: $\frac{y}{a x}$
Option 3: $\frac{ax}{y}$
Option 4: $\frac{a^2 x^2}{y^2}$
Correct Answer: $\frac{ax}{y}$
Solution : Given: $\triangle{ABC}\sim\triangle{DEF}$ $\frac{\text{Area of}\triangle{ABC}}{\text{Area of}\triangle{DEF}}=\frac{{BC}^2}{{EF}^2}$ ⇒ $\frac{ {x}^2 }{{y}^2 }=\frac{{BC}^2}{{a}^2}$ ⇒ $\frac{ {x}}{ {y}}=\frac{{BC}}{{a}}$ $\therefore {BC} = \frac{{ax}}{{y}}$ Hence, the correct answer is $\frac{{ax}}{{y}}$.
Question : The famous Irwin Declaration on 31 October 1929 promised:
Option 1: total integration of princely states with the rest of India
Option 2: universal adult franchise in India
Option 3: independence of princely states
Option 4: a dominion status for India
Correct Answer: a dominion status for India
Solution : The correct answer is a dominion status for India.
Lord Irwin was the viceroy of India from 1926 to 1931. He declared on 31 October 1929 that the British wanted to grant dominion status to India. This famous declaration was also
Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the conclusions logically and definitely follows from the given statements. Statements: I. All Eagles are Predators. II. All Tigers are Predators. III. Some Tigers are Cats. Conclusions: I. All Cats are Predators. II. All Eagles are Tigers.
Option 1: Both conclusions (I) and (II) do not follow
Option 2: Only conclusion (I) follows
Option 3: Only conclusion (II) follows
Option 4: Both conclusions (I) and (II) follow
Correct Answer: Both conclusions (I) and (II) do not follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: All Cats are Predators – It is a possibility that a circle representing cats comes under the
Question : Buddha attained enlightenment at _____.
Option 1: Varanasi
Option 2: Bodh Gaya
Option 3: Kushinagar
Option 4: Pataliputra
Correct Answer: Bodh Gaya
Solution : The correct answer is Bodh Gaya.
Buddha attained enlightenment under the Bodhi tree in Bodh Gaya, India. The event is said to have occurred on the full moon of the month of Vaisakh (April or May in the Gregorian calendar), and the specific
Question : Who played a key role in the formation of the Lokpal Bill in India?
Option 1: Bhupen Hazarika
Option 2: Anna Hazare
Option 3: Baba Amte
Option 4: Medha Patekar
Correct Answer: Anna Hazare
Solution : The correct answer is Anna Hazare.
Anna Hazare is a renowned social activist, born in 1937. He has been instrumental in the passage of the Lokpal and Lokayukta Bills. He led a hunger strike movement in 2011 for an anti-corruption bill. In the aftermath
Question : If a train 130 m long takes $6 \frac{1}{2}$ seconds to cross a man who is walking at 12 km/hr in the same direction in which the train going, then the speed of the train (in km/hr) is:
Option 1: 84
Option 2: 64
Option 3: 48
Option 4: 74
Correct Answer: 84
Solution : Man's speed in m/s = $12\text{ km/hr} \times \frac{5}{18} = 12 \times \frac{5}{18}\ \mathrm{ m/s} = \frac{10}{3}\text{ m/s}$ We know that the train crosses a 130-meter-long man in $\frac{13}{2}$ seconds. $\therefore$ Relative speed = $\frac{130\ \mathrm{m}}{\frac{13}{2}\mathrm{s}} = 20\text{ m/s}$ Relative speed = (Train's speed in
Question : Directions: For the Venn diagram given below, which of the following conclusions is true?
I. Some captains are painters. II. Some Lieutenants are painters. III. All majors are soldiers. IV. All captains are soldiers. V. All soldiers are painters.
Option 1: Only I and IV follow
Option 2: Only I, III, and IV follow
Option 3: Only II, IV, and V follow
Option 4: Only III and IV follow
Correct Answer: Only III and IV follow
Solution : Given:
Let's analyse the conclusions – Conclusion (I): Some captains are painters – From the given Venn diagram, it is evident that there is no direct relation between captains and painters. So, no definite relation can be drawn. Therefore, this conclusion
Question : Which of the following hills and their regions are correctly matched?
Option 1: Patkai Hills – Western Ghats
Option 2: Mizo Hills – Eastern Ghats
Option 3: Shevaroy Hills – Western Ghats
Option 4: Javadi Hills – Eastern Ghats
Correct Answer: Javadi Hills – Eastern Ghats
Solution : The correct answer is Javadi Hills – Eastern Ghats.
Javadi Hills are correctly matched with their region, which is the Eastern Ghats. The Patkai Hills are part of the Purvanchal mountain range, which is the Himalayas' eastern extension. The Purvanchal
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