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Question : P and Q can complete a project in 15 days and 10 days, respectively. They started doing the work together, but after 2 days, Q had to leave and P alone completed the remaining work. In how many days was the whole work completed?
Option 1: 11
Option 2: 12
Option 3: 13
Option 4: 10
Correct Answer: 12
Solution : Given: P and Q can complete a project in 15 days and 10 days, respectively. LCM of 15 and 10 is 30. Let the work be 30 units. Efficiency of P = $\frac{30}{15}=2$ Efficiency of Q = $\frac{30}{10}=3$ Two days of work of P and
Question : The length of each side of a rhombus is 10 cm. If the length of one of its diagonals is 16 cm, then what is the area of the rhombus?
Option 1: 108 cm2
Option 2: 112 cm2
Option 3: 128 cm2
Option 4: 96 cm2
Correct Answer: 96 cm2
Solution : The area (A) of a rhombus, $A = \frac{1}{2} \times d_1 \times d_2$ where $d_1$ and $d_2$ are the lengths of the diagonals. Given: $d_1$ = 16 cm The length of each side of the rhombus is 10 cm. Using the Pythagorean theorem,
Question : A man spends 15% of his income. If his expenditure is Rs. 75, then his income (in Rs.) is:
Option 1: 400
Option 2: 300
Option 3: 750
Option 4: 500
Correct Answer: 500
Solution : Given: A man spends 15% of his income and his expenditure is Rs. 75. Here, 15% is equivalent to Rs. 75. So, 100% is equivalent to $\frac{75×100}{15}$ = Rs. 500 $\therefore$ His income is Rs. 500. Hence, the correct answer is 500.
Question : A ladder leaning against a window of a house makes an angle of $60^{\circ}$ with the ground. If the distance of the foot of the ladder from the wall is 4.2 m, then the height of the point, where the ladder touches the window from the ground is closest to:
Option 1: 7.3 m
Option 2: 6.8 m
Option 3: 7.8 m
Option 4: 7 m
Correct Answer: 7.3 m
Solution : Given, $BC = 4.2\ m$ In $\triangle ABC$ $AB$ is the height of the point, where the ladder touches the window from the ground. $\tan 60^\circ = \frac{AB}{BC}$ ⇒ $\sqrt 3 = \frac{AB}{4.2}$ ⇒ $AB = 4.2 × 1.73 = 7.3$ Hence, the correct
Question : Select the correct passive form of the given sentence. They are making elaborate arrangements for the party.
Option 1: Elaborate arrangements have been made for the party.
Option 2: Elaborate arrangements are made for the party.
Option 3: Elaborate arrangements are being made for the party.
Option 4: Elaborate arrangements were being made for the party.
Correct Answer: Elaborate arrangements are being made for the party.
Solution : The correct choice is the third option.
Passive voice is the voice in which the object experiences an action rather than the person who acts. Hence, the object in the active sentence becomes the subject in the
Question : A litre of water weighs a kilogram, and a litre of another liquid weighs 1.340 kilograms. A mixture of the two weighs 1.270 kilograms per litre. The ratio of their volumes in a litre of the mixture is:
Option 1: 27 : 34
Option 2: 7 : 17
Option 3: 17 : 24
Option 4: 7 : 27
Correct Answer: 7 : 27
Solution : Given: A litre of water weighs a kilogram = 1000 gm A litre of a 2nd liquid weighs 1.340 kilograms = 1340 gm A litre of a mixture of the two weighs 1.270 kilograms = 1270 gm So, the ratio of their
Question : Two numbers are 50% and 80% less than the third number. By what percentage should the second number be enhanced to make it equal to the first number?
Option 1: 150%
Option 2: 60%
Option 3: 30%
Option 4: 37.5%
Correct Answer: 150%
Solution : Let the third number be 100$x$. Then, the first number = 50% less than 100$x$ = 50$x$ The second number = 80% less than 100$x$ = 20$x$ So, the required percentage change = $\frac{\text{ first number – second number}}{\text{second number}} × 100$% = $\frac{50x-20x}{20x}$ ×
Question : Select the most appropriate synonym of the given word. Reminiscence
Option 1: Harsh
Option 2: Remembrance
Option 3: Benevolence
Option 4: Oblivion
Correct Answer: Remembrance
Solution : The correct answer is the second option.
The word "reminiscence" refers to the act or process of recalling past experiences, events, or memories. A synonym for "reminiscence" is "remembrance". Both words involve the idea of remembering or reflecting on things from the past.
The meanings
Question : Directions: Select the option related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. AND : VHV :: LXY : ?
Option 1: HRR
Option 2: HRQ
Option 3: GRQ
Option 4: GSQ
Correct Answer: GRQ
Solution : Given: AND : VHV :: LXY : ?
Subtract 5, 6, and 8 from the place value of the first, second, and third letters of AND to get the related letter cluster. A – 5 = V; N – 6 = H; D – 8
Question : Directions: Find the missing number from the given responses.
Option 1: 2
Option 2: 17
Option 3: 34
Option 4: 9
Correct Answer: 2
Solution : Given:
The pattern can be observed running vertically down in the columns. Column 1: 7 × 3 × 2 = 42 Column 2: 3 × 4 × 7 = 84 Column 3: 10
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