1 Million+
Questions
50k +
Active Users
24hrs max.
Answering Time
Question : The whole surface area of a pyramid whose base is a regular polygon is 340 cm2, the area of its base is 100 cm2, and the area of each lateral face is 30 cm2. Then the number of lateral faces is:
Option 1: 8
Option 2: 9
Option 3: 7
Option 4: 10
Correct Answer: 8
Solution : Given: Whole surface area = 340 cm2 Area of each lateral face = 30 cm2 Area of base = 100 cm2 Whole surface area = lateral surface area + area of the base ⇒ 340 = lateral surface area + 100 $\therefore$
Question : The Khilafat Movement was launched to protest against the humiliation of
Option 1: The Turkish Caliph
Option 2: Aga Khan
Option 3: Muhammad Ali Jinnah
Option 4: Abdul Kalam Azad
Correct Answer: The Turkish Caliph
Solution : The correct option is Turkish Caliph.
Muslims in India initiated the Khilafat Movement at the beginning of the 20th century, which was a significant political movement. It was intended to express opposition to the Allied Powers demolition of the Ottoman Caliphate and their
Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 4.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 6
Correct Answer: 6
Solution : According to the dice rule if two or three positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other. While considering Figures
Question : If $\frac{a^{2} - bc}{a^{2}+bc}+\frac{b^{2}-ca}{b^{2}+ca}+\frac{c^{2}-ab}{c^{2}+ab}=1$, then the value of $\frac{a^{2}}{a^{2}+bc}+\frac{b^{2}}{b^{2}+ac}+\frac{c^{2}}{c^{2}+ab}$ is:
Option 1: 0
Option 2: 1
Option 3: –1
Option 4: 2
Correct Answer: 2
Solution : $\frac{a^{2}-bc}{a^{2}+bc}+\frac{b^{2}-ca}{b^{2}+ca}+\frac{c^{2}-ab}{c^{2}+ab}=1$ Adding 3 on both sides, $⇒(\frac{a^{2}-bc}{a^{2}+bc}+1)+(\frac{b^{2}-ca}{b^{2}+ca}+1)+(\frac{c^{2}-ab}{c^{2}+ab}+1)=1+3$ $⇒(\frac{a^{2}-bc+a^{2}+bc}{a^{2}+bc})+(\frac{b^{2}-ca+b^{2}+ca}{b^{2}+ca})+(\frac{c^{2}-ab+c^{2}+ab}{c^{2}+ab})=4$ $⇒(\frac{2a^{2}}{a^{2}+bc})+(\frac{2b^{2}}{b^{2}+ca})+(\frac{2c^{2}}{c^{2}+ab})=4$ $⇒\frac{a^{2}}{a^{2}+bc}+\frac{b^{2}}{b^{2}+ac}+\frac{c^{2}}{c^{2}+ab}=2$ Hence, the correct answer is 2.
Question : If $x^2-7 x+1=0$ and $0<x<1$, what is the value of $x^2-\frac{1}{x^2}?$
Option 1: $21\sqrt{5}$
Option 2: $-21\sqrt{5}$
Option 3: $28\sqrt{5}$
Option 4: $-28\sqrt{5}$
Correct Answer: $-21\sqrt{5}$
Solution : Given: $x^2-7 x+1=0$ ⇒ $x+\frac{1}{x}=7$ Squaring the equation, we get, $(x+\frac{1}{x})^2=7^2$ ⇒ $x^2+\frac{1}{x^2}+2=49$ ⇒ $x^2+\frac{1}{x^2}=47$ And we know, $(x-\frac{1}{x})^2=x^2+\frac{1}{x^2}-2$ ⇒ $(x-\frac{1}{x})^2=47-2=45$ ⇒ $x-\frac{1}{x}=\pm\sqrt{45}$ ⇒ $x=-\sqrt{45}$ [As $0<x<1$] Now consider, $x^2-\frac{1}{x^2}$ Using $a^2-b^2=(a-b)(a+b)$ $=(x+\frac{1}{x})(x-\frac{1}{x})$ $=7\times (-\sqrt{45})$ $=-7\times 3\sqrt5=-21\sqrt5$ Hence, the correct answer is $-21\sqrt5$.
Question : Directions: Three statements are given, followed by four conclusions numbered I, II, III, and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some desks are trays. Some trays are plates. Some plates are desks. Conclusions: I. All desks are plates. II. All plates are desks. III. Some plates are trays. IV. All trays are desks.
Option 1: Only conclusion III follows
Option 2: Only conclusion IV follows
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: All desks are plates – From the above diagram, it is clear that only some parts of the circle that are desks
Question : Select the option that expresses the given sentence in active voice.
An enquiry is demanded by us.
Option 1: We demand an enquiry
Option 2: We will demand an enquiry
Option 3: We are demanding an enquiry
Option 4: we have demanded an enquiry
Correct Answer: We demand an enquiry
Solution : The first option is correct.
Active voice is the voice in which the subject performs the action expressed by the verb. In an active voice construction, the subject is the doer of the action, and the recipient of the action, if there
Question : A man invested a sum of money at compound interest. It amounted to Rs. 2420 in 2 years and Rs. 2662 in 3 years. Find the sum:
Option 1: Rs. 1000
Option 2: Rs. 2000
Option 3: Rs. 5082
Option 4: Rs. 3000
Correct Answer: Rs. 2000
Solution : Given: A man invested a sum of money at compound interest. It amounted to Rs. 2420 in 2 years and Rs. 2662 in 3 years. Let the sum be p and the rate of interest per annum be r%. Here, Rs. 2420 yield interest
Question : The foreign traveller who visited India during the reign of Shah Jahan was
Option 1: Thomas Roe
Option 2: William Hawkins
Option 3: Ibn Battuta
Option 4: Manucci
Correct Answer: Manucci
Solution : The correct answer is Niccolao Manucci.
Niccolao Manucci was a self-taught physician and traveller from Venice and the first person to write accounts of the Mughal Empire. His writings are regarded as one of the most valuable sources of information about India during the Mughal
Question : Find the second smallest number which, when divided by 81 or 63, leaves a remainder of 7 in each case.
Option 1: 1246
Option 2: 1141
Option 3: 1362
Option 4: 1137
Correct Answer: 1141
Solution : If we add the remainder with the LCM of the numbers, we will get the required number. LCM of (81, 63) = 567 The smallest number = 567k + 7 when k = 1 The second smallest number = 567k + 7 when k =
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
