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Question : Find out the area of the triangle of base 7 cm and the corresponding height of 12 cm.
Option 1: 42 cm2
Option 2: 54 cm2
Option 3: 43 cm2
Option 4: 44 cm2
Correct Answer: 42 cm2
Solution : Area of a triangle = $\frac{1}{2}$ × Base × Height Given the base ($b$) is 7 cm and the height ($h$) is 12 cm. So, the area = $\frac{1}{2}$ × 7 × 12 = 42 cm2 Hence, the correct answer is 42
Question : Directions: What will come in the place of the question mark (?) in the following equation if + and – are interchanged and × and ÷ are interchanged? 49 × 7 ÷ 13 – 87 + 12 = ?
Option 1: 167
Option 2: 166
Option 3: 159
Option 4: 171
Correct Answer: 166
Solution : Given: 49 × 7 ÷ 13 – 87 + 12 = ?
On, interchanging the symbols with each other, we get – = 49 ÷ 7 × 13 + 87 – 12 = 7 × 13 + 87 – 12 = 91 + 87 –
Question : Simplify the following expression: $\frac{1-\sin A}{\cos A}+\frac{\cos A}{1-\sin A}$
Option 1: $2 \cos A$
Option 2: $2 \tan A$
Option 3: $2 \sec A$
Option 4: $2 \sin A$
Correct Answer: $2 \sec A$
Solution : $\frac{1-\sin A}{\cos A}+\frac{\cos A}{1-\sin A}$ $=\frac{(1-\sin A)^2+\cos^2A}{\cos A(1-\sin A)}$ $=\frac{1+\sin^2 A-2\sin A+\cos^2A}{\cos A(1-\sin A)}$ $=\frac{1+1 -2\sin A}{\cos A(1-\sin A)}$ $=\frac{2 -2\sin A}{\cos A(1-\sin A)}$ $=\frac{2(1 -\sin A)}{\cos A(1-\sin A)}$ $=\frac{2}{\cos A}$ $=2\sec A$ Hence, the correct answer is $2\sec A$.
Question : A is twice as fast as B and B is thrice as fast as C. The journey covered by C in $1\frac{1}{2}$ hour will be covered by A in:
Option 1: 15 minutes
Option 2: 30 minutes
Option 3: 1 hour
Option 4: 10 minutes
Correct Answer: 15 minutes
Solution : Given: A is twice as fast as B and B is thrice as fast as C. The journey is covered by C in $1\frac{1}{2}$ hour. Let the speed of C be $x$ metre/min. So, the speed of B will be $3x$ metre/min. And the
Question : The Chhatrapati Shivaji Maharaj Terminus was formerly known as ______.
Option 1: Elizabeth Terminus Station
Option 2: James Terminus Station
Option 3: George Terminus Station
Option 4: Victoria Terminus Station
Correct Answer: Victoria Terminus Station
Solution : The correct answer is Victoria Terminus Station.
The Chhatrapati Shivaji Terminus touches the Arabian Sea coast and is located in Mumbai, in Western India. The Victoria Terminus Station was the previous name of the Chhatrapati Shivaji Maharaj Terminus. It is one of
Question : The following pie chart shows the percentage expenditure of a country on different heads. The total expenditure is INR 1,680 (in billions). Study the chart and answer the question.
The expenditure on Education is what percentage less than the expenditure on Defence?
Option 1: 150%
Option 2: 50%
Option 3: 100%
Option 4: 125%
Correct Answer: 50%
Solution : Expenditure on Education = 6% Expenditure on Defence = 12% Required percentage = $\frac{12-6}{12}$ × 100 = 50% Hence, the correct answer is 50%.
Question : Which of the following chemicals is used as a preservative to slow browning and discolouration in foods and beverages during preparation, storage, and distribution?
Option 1: Nitrous oxide
Option 2: Phosgene
Option 3: Sulphites
Option 4: Chlorine
Correct Answer: Sulphites
Solution : The correct answer is Sulphites.
Sulphites is a sulphur-containing compound that has been used for centuries to prevent discolouration and slow browning during the storage and distribution of many foods. When some fruits are cut, the exposure of the flesh to oxygen results in
Question : Which of the following phenomena is supposedly associated with global warming?
Option 1: Southern oscillations
Option 2: El Nino
Option 3: La Nino
Option 4: El Nino Modiki
Correct Answer: El Nino Modiki
Solution : The correct answer is El Nino Modoki.
El Nio Modoki is associated with global warming. Climate change may impact the frequency and severity of El Nio Modoki occurrences, according to some studies. El Nio Modoki events may become more common due to the
Question : A, B and C together can complete a work in 12 days. A and B alone can do the same work in 36 days. In how many days can C alone complete the same work?
Option 1: 48
Option 2: 25
Option 3: 12
Option 4: 36
Correct Answer: 36
Solution : Given: A and B alone can do the same work in 36 days. Let the total work = LCM of (12, 36, 36) = 36 units Efficiency of A $=\frac{36}{36} = 1$ unit per day Efficiency of B $=\frac{36}{36} = 1$ unit per day Efficiency
Question : A cloth merchant sold half of his cloth at a 40% profit, half of the remaining at a 40% loss, and the rest was sold at the cost price. In the total transaction, his gain or loss will be:
Option 1: 20% gain
Option 2:
25% loss
Option 3:
10% gain
Option 4:
15% loss
Correct Answer:
Solution : Let the cost price of the cloth be $\mathrm{Rs.}\;\mathrm{C}$. The merchant sold half of his cloth at a $40\%$ profit. The selling price for this part $=\mathrm{0.5C + 0.4 \times 0.5C = 0.7C}$ He sold half of the remaining at a $40\%$ loss. The
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