1 Million+
Questions
50k +
Active Users
24hrs max.
Answering Time
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All chains are glasses. All glasses are tables. Conclusions: I. Some glasses are chains. II. Some tables are glasses.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some glasses are chains – From the Venn diagram, it is evident that the circle of chains is completely inside
Question : How many Indian states share their border with Bangladesh as of 2022?
Option 1: Three
Option 2: Four
Option 3: Six
Option 4: Five
Correct Answer: Five
Solution : The correct answer is Five.
As of 2022, India shares its border with Bangladesh through five Indian states. These states are:
These states are located along the northeastern and eastern borders of India and share a boundary with
Question : How many times has Pakistan reached the final of the ICC Men’s World Cup as of 2022?
Option 1: 1
Option 2: 3
Option 3: 0
Option 4: 2
Correct Answer: 2
Solution : The correct answer is 2.
Pakistan has reached the final of the ICC Men's World Cup two times and won the cricket World Cup in 1992 under the captaincy of Imran Khan, and it was runners-up in the 1999 World Cup. Australia won the
Question : The batting average for a cricket player's 40 innings is 50 runs. His highest score in an innings exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score for the player is:
Option 1: 165 runs
Option 2: 170 runs
Option 3: 172 runs
Option 4: 174 runs
Correct Answer: 174 runs
Solution : Let the lowest score in one inning be $x$ runs. Highest score in an inning = ($x$ + 172) runs The average of 40 innings = 50 runs ⇒ Total runs in 40 innings = 40 × 50 = 2000 The average of the
Question : If $2apq=(p+q)^{2}-(p-q)^{2}$, then the value of $a$ is:
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 8
Solution : Given: $2apq=(p+q)^{2}-(p-q)^{2}$ ⇒ $2apq=4pq$ $\therefore a=\frac{4pq}{2pq} =2$ Hence, the correct answer is 2.
Question : The value of $(1+\sec20°+\cot70°)(1-\operatorname{cosec}20°+\tan70°)$ is equal to:
Option 1: 0
Option 3: 2
Option 4: –1
Solution : Given: $(1+\sec20°+\cot70°)(1 – \operatorname{cosec}20°+\tan70°)$ = $(1+\sec20°+\tan20°)(1-\operatorname{cosec}20°+\cot20°)$ = $(1+\frac{1}{\cos20°}+\frac{\sin20°}{\cos20°})(1–\frac{1}{\sin20°}+\frac{\cos20°}{\sin20°})$ = $(\frac{\cos20°+1+\sin20°}{\cos20°})(\frac{\sin20°–1+\cos20°}{\sin20°})$ = $\frac{(\sin20°+\cos20°)^{2}–1^{2}}{\cos20°\sin20°}$ = $\frac{\sin^{2}20°+\cos^{2}20°+2\sin20°\cos20°–1}{\cos20°\sin20°}$ = $\frac{2\sin20°\cos20°}{\cos20°\sin20°}$ = $2$ Hence, the correct answer is 2.
Question : If $x+\frac{1}{x}=-14$, and $x<-1$, what will be the value of $x^2-\frac{1}{x^2}$?
Option 1: $-112 \sqrt{3}$
Option 2: $112 \sqrt{3}$
Option 3: $-140 \sqrt{2}$
Option 4: $140 \sqrt{2}$
Correct Answer: $112 \sqrt{3}$
Solution : Given, $x+\frac{1}{x}=-14$ Squaring both sides, we get, ⇒ $x^2+\frac{1}{x^2}+2=196$ ⇒ $x^2+\frac{1}{x^2}=196-2=194$ Subtracting 2 from both sides, we get, $x^2+\frac{1}{x^2}-2=194-2$ ⇒ $(x-\frac{1}{x})^2=192$ ⇒ $x-\frac{1}{x}=-\sqrt{192}$ [as $x<-1$] Now $x^2-\frac{1}{x^2}$ $=(x-\frac{1}{x})(x+\frac{1}{x})$ $=(-\sqrt{192})\times (-14)$ $=8\sqrt3\times 14 = 112\sqrt3$ Hence, the correct answer is $112\sqrt3$.
Question : How many Fundamental Rights were granted initially?
Option 1: Six
Option 2: Seven
Option 3: Four
Correct Answer: Seven
Solution : The correct answer is Seven.
Seven fundamental rights were initially recognized by the Indian Constitution. The property right was abolished as a fundamental right in 1978 with the passage of the 44th Constitutional Amendment. It gained constitutional protection under Article 300A.
Question : The Atal Tunnel has been built by which organisation?
Option 1: Central Public Works Department
Option 2: Border Roads Organisation
Option 3: National Highways Authority of India
Option 4: Public Works Department
Correct Answer: Border Roads Organisation
Solution : The correct answer is Border Roads Organisation.
The Border Roads Organisation has built the 9 km long Atal Tunnel. It is a highway tunnel built under the Rohtang Pass on the Leh to Manali highway in Himachal Pradesh. It is named after the
Question : Who was the ruler of Delhi when Ahmad Shah Abdali defeated the Marathas in the third Battle of Panipat in 1761?
Option 1: Alamgir I
Option 2: Muhammad Shah
Option 3: Jahandar Shah
Option 4: Shah Alam II
Correct Answer: Shah Alam II
Solution : The correct answer is Shah Alam II.
The third Battle of Panipat was fought in 1761 between the Durrani Kingdom of Afghanistan, led by Ahmad Shah Abdali, and the Marathas. In this war, Ahmad Shah Abdali emerged victorious, leading to the decline of
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
