1 Million+
Questions
50k +
Active Users
24hrs max.
Answering Time
Question : In $\triangle ABC, \angle B=90^{\circ}$ and AB : BC = 1 : 2. The value of $\cos A+\tan C$ is:
Option 1: $\frac{5+\sqrt{5}}{2 \sqrt{5}}$
Option 2: $\frac{1+\sqrt{5}}{2 \sqrt{5}}$
Option 3: $\frac{2 \sqrt{5}}{2+\sqrt{5}}$
Option 4: $\frac{2+\sqrt{5}}{2 \sqrt{5}}$
Correct Answer: $\frac{2+\sqrt{5}}{2 \sqrt{5}}$
Solution : In $\triangle ABC, \angle B=90^{\circ}$ AB : BC = 1 : 2 ⇒ $\frac{\text{AB}}{\text{BC}} = \frac{1}{2}$ ⇒ $\frac{\text{AB}}{1} = \frac{\text{BC}}{2}=$ k ⇒ AB = k, BC = 2k Using the Pythagoras theorem, AC$^2$ = BC$^2$ + AB$^2$ = (2k)$^2$ + k$^2$ = 5k$^2$ So,
Question : Directions: Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. 678 = 366; 567 = 255; 946 = ?
Option 1: 334
Option 2: 499
Option 3: 699
Option 4: 634
Correct Answer: 634
Solution : Given: 678 = 366, 567 = 255, 946 = ?
The numbers on the L.H.S. and R.H.S. of the equation have a difference of 312 in common. Like, 678 = 366→678 – 312 = 366 And, 567 = 255→567 – 312 = 255 Similarly, follow
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Clean India Mission is one of the most (1) _____ and popular missions to have taken place in India. This mission includes a reward to a state and a city. This encourages every citizen to keep the surroundings clean. This cleanliness campaign was (2) _____ by the Indian government at the national level, (3) _____ all the rural towns and urban cities. Its primary objective is to spread awareness of the importance of cleanliness. Slogans are written on the banners and pictures are painted in a very attractive manner to evoke the feeling of cleanliness. After that, a major objective was to teach citizens to (4) _____ of waste mindfully and to provide basic (5) _____ facilities. For this, wet and dry dustbins are kept by every citizen whether it is home or office. Select the most appropriate option to fill in the blank number 2.
Option 1: governed
Option 2: rehearsed
Option 3: dominated
Option 4: unorganised
Correct Answer: governed
Solution : The correct option will be the second option.
To govern means to legally control a country or its people and be responsible for introducing new laws, organising public services, etc.
Question : M is three times as good a worker as N and together they finish a piece of work in 30 days. In how many days will M alone finish the work?
Option 1: 50
Option 2: 40
Option 3: 60
Option 4: 45
Correct Answer: 40
Solution : Given: M is three times as good as N. Let the efficiency of N and M be $x$ and $3x$ respectively. So, total work $=30×(x+3x)=120x$ units Therefore, the time required by A to finish the work alone = $\frac{120x}{3x}$ = 40 days Hence, the correct
Question : If a certain sum becomes 3 times in 6 years at compound interest, then in how many years, it will become 81 times?
Option 1: 81 years
Option 2: 162 years
Option 3: 27 years
Option 4: 24 years
Correct Answer: 24 years
Solution : By applying the formula: Amount = P[$(1+\frac{r}{100})^n$] where P is principal, $r$ is the rate of interest compounded annually for $n$ years. Let the sum be $x$, then: Amount = $x(1+\frac{r}{100})^6 = 3x$ ⇒ $(1+\frac{r}{100})^6 = \frac{3x}{x}=3$ ⇒ $(1+\frac{r}{100}) =3^\frac{1}{6}$ Now, the sum becomes
Question : Select the most appropriate option to fill in the blank.
A large chunk of lemon crop grown in the country goes______to factories.
Option 1: director
Option 2: directing
Option 3: directed
Option 4: directly
Correct Answer: directly
Solution : The correct choice is the fourth option.
Explanation: Directly is an adverb that means without anything coming in between. It helps convey that a large part of the lemon crop grown in the country goes directly to the factories without anything coming in
Question : Which among the following elements is used in moisturising creams and soaps because of its hygroscopic properties?
Option 1: Galena
Option 2: Ethanol
Option 3: Freon
Option 4: Glycerol
Correct Answer: Glycerol
Solution : The correct answer is Glycerol.
Glycerol is used in moisturising creams and soaps because it has hygroscopic properties. Hygroscopic properties are related to humidity, which means the element can hold water molecules or attract water molecules from the environment or its surroundings, and it becomes
Question : One liquid contains 20% of acid the other liquid contains 30% of acid. A can is filled with 7 parts of the first liquid and 3 parts of the second liquid. The percentage of the acid in the new mixture is:
Option 1: 13%
Option 2: 30%
Option 3: 14%
Option 4: 23%
Correct Answer: 23%
Solution : Let the first liquid be $A$ and the second liquid be $B$. The first liquid $A$ contains 20% acid, and the second liquid $B$ contains 30% acid ⇒ The total parts in the mixture are 7 + 3 = 10 So, the acid percentage in
Question : Directions: A family consisted of a man, his wife, his three sons, their wives and three children in each son's family. How many members are there in the family?
Option 1: 12
Option 2: 13
Option 3: 15
Option 4: 17
Correct Answer: 17
Solution : According to the given information, the family tree is shown below –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure. The family consists of the man, his wife, his 9 grandchildren, 3 sons, 3 daughters-in-law. Total members
Question : Directions: If P means ×, Q means +, R means ÷, and S means –, then 56 R 8 Q 13 S 42 R 21 P 5 = ?
Option 2: 8
Option 3: 24
Option 4: 10
Correct Answer: 10
Solution : Given: 56 R 8 Q 13 S 42 R 21 P 5 = ?
After replacing the letters with the mathematical signs, we get – = 56 ÷ 8 + 13 – 42 ÷ 21 × 5 = 7 + 13 – 2 × 5
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
