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Question : D is a point on the side BC of a $\triangle $ABC such that $\angle A D C=\angle B A C$. If CA = 10 cm and BC=16 cm, then the length of CD is:
Option 1: 6.5 cm
Option 2: 6.25 cm
Option 3: 7 cm
Option 4: 6 cm
Correct Answer: 6.25 cm
Solution : In this case, we can use the property of similar triangles to find the length of CD. Given that $\angle ADC = \angle BAC$, $\triangle ADC$ is similar to $\triangle BAC$ by the AAA similarity criterion. This implies that the ratios of the corresponding
Question : 135 kg of alloy A is mixed with 72 kg of alloy B to get a new alloy. If alloy A has zinc and copper in the ratio 4 : 5 and alloy B has zinc and copper in the ratio 7 : 5, then what is the weight of zinc in the new alloy?
Option 1: 102 kg
Option 2: 115 kg
Option 3: 85 kg
Option 4: 92 kg
Correct Answer: 102 kg
Solution : Given, Quantity of A = 135 kg Quantity of B = 72 kg A = Zinc : Copper = 4 : 5 B = Zinc : Copper = 7 : 5 Quantity of Zinc in A = 135 $\times\frac{4}{4+5}$ = 135 $\times\frac49$ = 60
Question : A container contains a 20 L mixture in which there is 10% sulphuric acid. Find the quantity of sulphuric acid to be added to it to make the solution contain 25% sulphuric acid.
Option 1: 2 L
Option 2: 3 L
Option 3: 4 L
Option 4: 5 L
Correct Answer: 4 L
Solution : Initially, the quantity of sulphuric acid in the mixture is 10% of 20 L, which is 2 L. Let the quantity of sulphuric acid be added as $x$ L. After adding $x$ L of sulphuric acid, the total volume of the mixture becomes $(20
Question : Simplify the given expression. $\frac{(80 \times 80 \times 80)+(70 \times 70 \times 70)+(50 \times 50 \times 50)-840000}{6400+4900+2500-5600-3500-4000}$
Option 1: 100
Option 2: 200
Option 3: 400
Option 4: 300
Correct Answer: 200
Solution : $\frac{(80 \times 80 \times 80)+(70 \times 70 \times 70)+(50 \times 50 \times 50)-840000}{6400+4900+2500-5600-3500-4000}$ $=\frac{(512000)+(343000)+(125000)-840000}{13800-13100}$ $=\frac{140000}{700}$ $=200$ Hence, the correct answer is 200.
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. AP : CN : RT : ?
Option 1: RT
Option 2: TS
Option 3: TR
Option 4: SR
Correct Answer: TR
Solution : Given: AP : CN :: RT : ?
Add and subtract 2 alternatively from the place value of the letters, to get the required missing term – Like, AP : CN→A + 2 = C; P – 2 = N Thus, AP is coded as
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘No improvement required’. Which films have you seen when you were in Meerut?
Option 1: were you seeing
Option 2: did you see
Option 3: do you see
Option 4: No improvement required
Correct Answer: did you see
Solution : The second option is the correct choice.
The phrase "when you were in Meerut" proves that the sentence is in the past, completely in the past indefinite tense. In the past indefinite tense (interrogative), we generally use "did" with the base form of
Question : Who became the Nawab of Bengal after the death of Alivardi Khan in 1756?
Option 1: Sujan Khan
Option 2: Murshid Quli Khan
Option 3: Siraj ud-Daulah
Option 4: Mir Jafar
Correct Answer: Siraj ud-Daulah
Solution : The correct answer is Siraj ud-Daulah
After Alivardi Khan passed away in 1756, Siraj ud-Daulah assumed the role of Nawab of Bengal. He was Bengal's last independent Nawab. Bengal's first Nawab was Murshid Quli Khan. The first Nawab of Bengal to be influenced by
Question : Select the most appropriate word for the given group of words.
People who belong to the same country.
Option 1: Natives
Option 2: Soldiers
Option 3: Folks
Option 4: Communists
Correct Answer: Natives
Solution : The correct choice is the first option.
Explanation:
Natives refer to individuals who are born in or belong to a particular place or country. It signifies people who are inherently tied to a specific region or country due to birth or long-term residency.
The meanings
Question : A certain sum (in INR) is invested at simple interest at y% per annum for $3 \frac{1}{2}$ years. Had it been invested at (y + 4)% per annum at simple interest, it would have fetched INR 4,452 more as interest. What is the sum?
Option 1: INR 42,400
Option 2: INR 31,800
Option 3: INR 30,400
Option 4: INR 42,800
Correct Answer: INR 31,800
Solution : Given: Time, $t\ = 3\tfrac{1}{2}$ years Original rate = $y\%$ New rate = $y\ +\ 4\%$ Let the principal be INR $x$. According to the question, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ $\Rightarrow \frac{x\ \times (y\ +\ 4\ -\ y)\times 7}{100\ \times
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct
He held the railing as he walked downed the stairs.
Option 1: No improvement
Option 2: walk down
Option 3: walked downs
Option 4: walked down
Correct Answer: walked down
Solution : The correct choice is the fourth option.
Walked downed is not grammatically accurate, as walked already implies the action happening in the past, and downed is not the correct verb form. To imply the action of walking down in the past, walked down
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