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Question : The area and the length of one of the diagonals of a rhombus are 84 cm2 and 7 cm respectively. Find the length of its other diagonal (in cm).
Option 1: 12
Option 2: 24
Option 3: 48
Option 4: 36
Correct Answer: 24
Solution : Given: Area = $84\ cm^2$ 1st diagonal = 7 cm 2nd diagonal = $D_2$ We know that Area of rhombus = $\frac{1}{2}\times$(Product of the diagonals) ⇒ $84 = \frac{1}{2}\times7\times D_2$ ⇒ $D_2 = 24\ cm$ Hence, the correct answer is 24.
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Bird : Nest
Option 1: Goat : Grass
Option 2: Tiger : Kennel
Option 3: Ant : Sugar
Option 4: Cattle : Barn
Correct Answer: Cattle : Barn
Solution : Given: Bird : Nest (The shelter place of a bird is called a nest.)
Let's check the options – First option: Goat : Grass→Goat eats grass. Second option: Tiger : Kennel→The shelter place of the tiger is called a lair. Third option: Ant
Question : In which country did the world's first organised motor race occur?
Option 1: Germany
Option 2: USA
Option 3: Portugal
Option 4: France
Correct Answer: France
Solution : The correct answer is France.
On July 22, 1894, the first structured motor race was held in France. The newspaper Le Petit Journal organised the race, dubbed the Paris-Rouen, Le Petit Journal Horseless Carriages Contest. The race covered a distance of 126 kilometres (78
Question : During which freedom struggle movement Mahatma Gandhi Ji gave the call for "Do or Die"?
Option 1: Khilafat movement
Option 2: Non-cooperation movement
Option 3: Dandi March
Option 4: Quit India movement
Correct Answer: Quit India movement
Solution : The correct answer is the Quit India movement.
On August 8, 1942, Mahatma Gandhi delivered the Quit India speech at Gowalia Tank Maidan (now August Kranti Maidan) in Bombay (Mumbai). Advocating Indian independence and the cessation of British colonial rule, Gandhi urged
Question : Identify the segment in the sentence which contains a grammatical error. If there is no error, then select the option "No error".
The London-based Brodsky / Quartet, meanwhile, is one of / the world's leading string quartet.
Option 1: The London-based Brodsky
Option 2: the world's leading string quartet.
Option 3: Quartet, meanwhile, is one of
Option 4: No error
Correct Answer: the world's leading string quartet.
Solution : The error lies in the second option.
The phrase "one of" should be followed by a plural noun to maintain the agreement in the sentence. Thus, string quartet should be replaced with string quartets to make the sentence grammatically accurate, as
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. Money does not come from trees, as my grandmother used to say; But seeing it (1)_______ from machines would shock her! Slip a card into a machine, press a couple of buttons and find new and fresh notes carrying out of a space this is a standard undertaking today. Today, ATMs, or automated teller machines, can be found in most towns and cities. You are able to withdraw cash at any time, day or night, because they typically (2)_________ around the clock. In 1968, Don Wetzel, along with Tom Barnes and George Chastain, developed the first modern and successful ATM in the United States. Although the ATM concept was first (3)__________ in 1968, a functional prototype was constructed in 1969, and Docutel was granted a patent in 1973. A 'data terminal' is all an ATM is. A point where data can be entered or retrieved via a link to the 'Boss-in-Charge', a large computer known as a host processor, is referred to as a 'data terminal'. Many of these terminals are connected to this host processor, which is spread out (4)________ the city or country. Usually, the host processor belongs to the bank. If it is a dial-up device, it connects to the various terminals via a modem and telephone line. Alternately, the host processor may establish a 'leased line connection' with all ATMs. This indicates that a modem is not required to dial into a single telephone line that is solely dedicated to the host processor. This line can only be used by you. It is always accessible to the boss-in-charge for his or her exclusive use. These exclusive lines are expensive, but they are useful in areas where daily transactions are extremely high. The host processor connects to the ATMs via either a dial-up or leased line connection, (5)__________ on the bank and the number of customers it serves. Select the most appropriate option to fill in blank no. 2.
Option 1: conduct
Option 2: employ
Option 3: operate
Option 4: control
Correct Answer: operate
Solution : The third option is the correct choice.
Operate means to control the functioning of a machine, which makes it the appropriate choice for the sentence.
The meanings of the other options are as follows:
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Strident 2. Student 3. Shirking 4. Stuffy 5. Spider 6. Spawn
Option 1: 3, 6, 5, 1, 2, 4
Option 2: 3, 5, 6, 1, 2, 4
Option 3: 3, 6, 5, 1, 4, 2
Option 4: 3, 5, 6, 1, 4, 2
Correct Answer: 3, 6, 5, 1, 2, 4
Solution : Given: 1. Strident 2. Student 3. Shirking 4. Stuffy 5. Spider 6. Spawn
Step 1: Compare the first letter of each word. Since all the words start with the same letter S, then move on to the next letter.
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. First row – 6, 36, 72 Second row – 8, 48, 96 Third row – 9, 54, ?
Option 1: 105
Option 2: 108
Option 3: 231
Option 4: 130
Correct Answer: 108
Solution : In each row, multiply the first number by 6 to obtain the second number and multiply the second number by 2 to obtain the third number. First row – 6, 36, 72→6 × 6 = 36; 36 × 2 = 72 Second row – 8,
Question : Directions: The sequence of folding a piece of paper and how the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : If the cost price is 72% of the selling price, then what is the percentage of profit? (Correct to 2 decimal places)
Option 1: 38.89%
Option 2: 35.75%
Option 3: 32.25%
Option 4: 28.75%
Correct Answer: 38.89%
Solution : Let the selling price (SP) be $x$ Cost price = $\frac{72}{100}\times x$ Now, the profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$ = $\frac{x-\frac{72}{100}x}{\frac{72}{100}x}\times 100$ = $\frac{\frac{28}{100}x}{\frac{72}{100}x}\times 100$ = $38.89\%$ Hence, the correct answer is 38.89%
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