1 Million+
Questions
50k +
Active Users
24hrs max.
Answering Time
Question : If $ax–4y = – 6$ has a slope of $-\frac{3}{2}$, what is the value of $a$?
Option 1: 6
Option 2: 3
Option 3: – 6
Option 4: – 3
Correct Answer: – 6
Solution : Given: The straight line is $ax–4y = –6$ has a slope of $\frac{–3}{2}$. The slope of the straight line $(ax + by + c = 0)$ using the slope formula, $\text{slope}=\frac{–a}{b}$ $\frac{–a}{–4}=\frac{–3}{2}$ ⇒ $a = – 6$ Hence, the correct answer is – 6.
Question : Rani Ki Vav (the Queen's stepwell) is situated on the banks of which river?
Option 1: Ganga
Option 2: Yamuna
Option 3: Krishna
Option 4: Saraswati
Correct Answer: Saraswati
Solution : The correct answer is Saraswati.
Rani Ki Vav, located on the banks of the Saraswati River, was originally constructed in the 11th century AD as a tribute to a king. The Solanki dynasty's queen, Udayamati, built this stepwell in the 11th century as a
Question : If $a-\frac{1}{a}=4$, then the value of $a+\frac{1}{a}$ is:
Option 1: $5 \sqrt{5}$
Option 2: $4 \sqrt{5}$
Option 3: $2 \sqrt{5}$
Option 4: $3 \sqrt{5}$
Correct Answer: $2 \sqrt{5}$
Solution : Given: $a-\frac{1}{a}=4$ Squaring both sides, we get, ⇒ $a^2+\frac{1}{a^2}-2=16$ ⇒ $a^2+\frac{1}{a^2}=16+2$ ⇒ $a^2+\frac{1}{a^2}=18$ Adding 2 on both sides, we get, ⇒ $a^2+\frac{1}{a^2}+2=18+2$ ⇒ $(a+\frac{1}{a})^2=20$ $\therefore a+\frac{1}{a}=2\sqrt5$ Hence, the correct answer is $2\sqrt5$.
Question : The pie chart given below shows the number of bikes sold by 8 different companies. The total number of bikes sold by all these 8 different companies is 15,000. The number of bikes sold by a particular company is shown as a percent of the total number of bikes sold by all these 8 different companies.
Which of the following statements is NOT correct? I. The value of the central angle formed by sectors A, C, and D together is 170.8°. II. The value of the central angle formed by sectors B, E, F, and H together is 169.2°.
Option 1: Only I
Option 2: Only II
Option 3: Neither I nor II
Option 4: Both I and II
Correct Answer: Only I
Solution : Sectors A, C, and D combinedly have a total 48% (7 + 32 + 9) portion of the central angle. Now, central Angle formed these 3 sectors together = $\frac{48}{100}×360°$ = 172.8° So, statement I is incorrect. Again, sectors B, E, F, and H
Question : If $\frac{\tan\theta +\cot\theta }{\tan\theta -\cot\theta }=2, (0\leq \theta \leq 90^{0})$, then the value of $\sin\theta$ is:
Option 1: $\frac{2}{\sqrt3}$
Option 2: $\frac{\sqrt3}{2}$
Option 3: $\frac{1}{2}$
Option 4: $1$
Correct Answer: $\frac{\sqrt3}{2}$
Solution : $\frac{\tan\theta +\cot\theta }{\tan\theta -\cot\theta }=2$ Use rule of componendo and dividendo i.e. If $\frac{a}{b}=\frac{c}{d}$ then, $\frac{a+b}{a-b}=\frac{c+d}{c-d}$. we have, ⇒ $\frac{\tan\theta +\cot\theta +\tan\theta -\cot\theta}{\tan\theta +\cot\theta -\tan\theta +\cot\theta}=\frac{2+1}{2-1}$ ⇒$\frac{2\tan\theta}{2\cot\theta} = 3$ ⇒ $\tan^2\theta=3$ ⇒ $\sin^2\theta= 3\cos^2\theta$ ⇒ $\sin^2\theta= 3(1-\sin^2\theta)$ ⇒ $4\sin^2\theta= 3$ ⇒ $\sin\theta=\frac{ \sqrt3 }{2}$ Hence,
Question : Directions: Select the correct mirror image of the given figure when the mirror MN is placed on the right side of the figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line NM). So, the left side of the reflected image will appear
Question : Select the most appropriate ANTONYM of the given word.
Glad
Option 1: Jive
Option 2: Innocent
Option 3: Sad
Option 4: Haunt
Correct Answer: Sad
Solution : The correct choice is the third option.
Glad refers to a feeling of happiness, pleasure, or contentment. It describes a positive emotional state or feeling of satisfaction.
Sad refers to a feeling of sorrow, unhappiness, or distress. It represents a negative emotional state characterised by
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. LAGB, NDIE, PGKH, RJMK, ?
Option 1: TMON
Option 2: TMOM
Option 3: TMNO
Option 4: TNON
Correct Answer: TMON
Solution : Given: LAGB, NDIE, PGKH, RJMK, ?
Add 2 and 3 alternately to the place value of each alphabet to obtain the next term of the series. LAGB→L + 2; A + 3; G + 2; B + 3 = NDIE NDIE→N + 2; D +
Question : How many players are there in a water polo team?
Option 2: 5
Option 3: 7
Option 4: 8
Correct Answer: 7
Solution : The correct answer is 7.
Water polo is a water-based team sport played by two teams of seven players each. The Indian men's national water polo team represents India in international men's water polo. The Swimming Federation of India (SFI) governs water polo in India.
Question : Select the most appropriate option to fill in the blank.
The termites were just the tip of the_____, but the house was near collapse in reality.
Option 1: mountain
Option 2: iceberg
Option 3: shoe
Option 4: heel
Correct Answer: iceberg
Solution : The most appropriate choice is the second option.
Explanation: The expression the tip of the iceberg refers to a situation where a small, visible part is just an indication of a larger, hidden problem or issue.
The meanings of the other options are as
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
