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Question : Pankaj purchases a watch for Rs. 1000. He sells the watch at a discount of 20% and earns a profit of 40%. What is the marked price of the watch?
Option 1: Rs. 1640
Option 2: Rs. 1880
Option 3: Rs. 1980
Option 4: Rs. 1750
Correct Answer: Rs. 1750
Solution : If a 20% discount is given ⇒ Selling Price (SP) = 80% of the Marked Price (MP) = 0.8 × MP Given that profit = 40% So, Selling price = Cost price × (1+ $\frac{profit \%}{100}$) = 1000 × (1+ 0.40) ⇒ 0.8 ×
Question : The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?
Option 1: 6272
Option 2: 5832
Option 3: 4662
Option 4: 7904
Correct Answer: 6272
Solution : Let the two numbers be a and b. Given, $a^3+b^3=9728$ and $a+b=32$ Now, $a^3+b^3=9728$ ⇒ $(a+b)^3–3ab(a+b)=9728$ ⇒ $32^3–3ab(32)=9728$ ⇒ $96ab=32768–9728$ ⇒ $ab=240$ ⇒ $(a–b)^2=(a+b)^2–4ab=32^2–4(240)=64$ ⇒ $a–b=8$ So, $a^3–b^3=(a–b)^3+3ab(a–b)=8^3+3(240)(8)=512+5760=6272$ Hence, the correct answer is 6272.
Question : Select the correct indirect form of the given sentence. He said to his brother, “Pack your bags and leave now.”
Option 1: He ordered his brother to pack your bags and leave now.
Option 2: He instructed his brother to pack his bags and leave then.
Option 3: He suggested his brother that he should pack his bags and leave then.
Option 4: He told his brother that pack your bags and leave now.
Correct Answer: He instructed his brother to pack his bags and leave then.
Solution : The second option is the correct choice.
The given sentence is a direct speech. The basic steps for changing or converting direct speech into indirect speech are:
Question : In a 1500 m race, if vehicle P gives vehicle Q a start of 200 m, then vehicle P wins the race by 8 sec. Alternatively, if vehicle P gives vehicle Q a start of 400 m, the race ends in a dead heat. How long does vehicle P take to run 1500 m?
Option 1: 44 sec
Option 2: 45 sec
Option 3: 40 sec
Option 4: 60 sec
Correct Answer: 44 sec
Solution : 2 cases will be formed in this situation. Case 1: Vehicle P gives vehicle Q a start of 200 m, and P wins the race by 8 sec. ⇒ Distance traveled by P = 1500 m And, Distance travel by Q = 1500 –
Question : Directions: If A + B means that A is the father of B, A × B means that A is the mother of B, and A – B means that A is the brother of B then which of the following expressions shows that P is the paternal grandmother of R?
Option 1: Q × P + R
Option 2: P × Q – R
Option 3: P + R × Q
Option 4: P × Q + R
Correct Answer: P × Q + R
Solution : Let's check the given options – First option: Q × P + R According to the given expression, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the
Question : Successive discounts of 18% and 22% are equal to a single discount of ______.
Option 1: 36.04%
Option 2: 35.04%
Option 3: 37.04%
Option 4: 34.04%
Correct Answer: 36.04%
Solution : Successive discounts of 18% and 22% Single Discount $=D_{1} + D_{2} - \frac{(D_{1}\times D_{2})}{100}$ where, $D_{1}$ & $D_{2}$ are two successive discounts. Single Discount = $18 + 22 - \frac{18\times22}{100}$ = 40 - 3.96 = 36.04% $\therefore$ Successive discounts of 18% and 22% are equal
Question : The perimeter of an equilateral triangle is equal to the circumference of a circle. The ratio of their areas is: ( Use $\pi =\frac{22}{7}$)
Option 1: $22 : 21\sqrt{3}$
Option 2: $21: 22\sqrt{3}$
Option 3: $21: 22\sqrt{2}$
Option 4: $22: 21\sqrt{2}$
Correct Answer: $22 : 21\sqrt{3}$
Solution : Let the side of the equilateral triangle be $a$ unit. Perimeter = $3a$ unit Circumference of the circle = $2\pi r$ Given: Perimeter of triangle = circumference of the circle So, $3a = 2\pi r$ ⇒ $\frac{a}{r}=\frac{2 \pi}{3} =\frac{2\times22}{3 \times7}$ $\therefore \frac{a}{r}=\frac{44}{21}$ Area
Question : If a car covers 75.5 km in 3.5 litres of petrol, how much distance (in km) will it cover in 28 litres of petrol?
Option 1: 603
Option 2: 602
Option 3: 604
Option 4: 600
Correct Answer: 604
Solution : Here, 3.5 litres of petrol covers 75.5 km. $\therefore$ 1litre of petrol covers = $\frac{75.5}{3.5}$ km So, 28 litres of petrol = $\frac{75.5}{3.5} \times 28$ = 604 Hence, the correct answer is 604 km.
Question : The seven years of war in the 18th century was fought between Britain and ________.
Option 1: Spain
Option 2: France
Option 3: Germany
Option 4: Portugal
Correct Answer: France
Solution : The correct answer is France.
The Seven Years' War, initiated in 1756, primarily centred around North American land disputes between France and Great Britain, particularly near Pittsburgh, Pennsylvania. This conflict, also known as the French and Indian War, expanded globally, involving Europe, Africa and
Question : The Bureau of Indian Standard is a statutory body working under the aegis of which union ministry?
Option 1: Ministry of Commerce and Industry
Option 2: Ministry of Micro, Small, & Medium Enterprises
Option 3: Ministry of Corporate Affairs
Option 4: Ministry of Consumer Affairs, Food, and Public Distribution
Correct Answer: Ministry of Consumer Affairs, Food, and Public Distribution
Solution : The correct option is the Ministry of Consumer Affairs, Food, and Public Distribution.
The Bureau of Indian Standards (BIS) is a statutory body in India and operates under the aegis of the Ministry of Consumer Affairs, Food,
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