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Question : The following sentence has been divided into four parts. One of them contains an error. Select the part that contains the error from the given options.
The sun / revolves / around / a earth.
Option 1: The sun
Option 2: revolves
Option 3: a earth.
Option 4: around
Correct Answer: a earth.
Solution : The error lies in the third option.
The article usage before "earth" is incorrect in the sentence. The definite article "the" should replace "a" before earth in the sentence, as we are referring to a specific place or the planet on which we live.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Prohibition aims at reducing (1) / traffic accidents many of which (2) / is caused by drunkenness. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The determiner many is used with a countable noun, and hence the verb must also be in the plural form. Thus, the verb is should be replaced with are to make the sentence grammatically accurate.
Question : If $(a+\frac{1}{a})=–2$, then the value of $a^{1000}+a^{–1000}$ is:
Option 1: $2$
Option 2: $0$
Option 3: $1$
Option 4: $\frac{1}{2}$
Correct Answer: $2$
Solution : Given: $(a+\frac{1}{a})= -2$ $⇒\frac{a^2+1}{a}=-2$ $⇒a^2+2a+1=0$ $⇒(a+1)^2=0$ $\therefore a= -1$ So, $a^{1000} + \frac{1}{a^{1000}} = 1+1=2$ Hence, the correct answer is $2$.
Question : Directions: Select the option in which the words share the same relationship as that shared by the given pair of words. Lotus : Flower
Option 1: Rial : Currency
Option 2: Metal : Copper
Option 3: Paper : Book
Option 4: Furniture : Wood
Correct Answer: Rial : Currency
Solution : Given: Lotus : Flower (The first term is a type of the second term)
First option: Rial : Currency; Rial is a type of currency. Second option: Metal : Copper; Copper is a metal, but the order of the terms is not correct.
Question : Choose the word that can substitute for the given group of words. A unit to measure light
Option 1: Lumen
Option 2: Watt
Option 3: Horse-power
Option 4: Ampere
Correct Answer: Lumen
Solution : The first option is the correct answer.
Lumen is a unit used to measure the total quantity of visible light emitted by a source per unit of time.
The meanings of the other options are as follows:
Question : A shopkeeper sells a table at a $25\%$ discount on the marked price and earns a profit of $70\%$. If he sells the same table at $50 \%$ discount, then his new profit percentage will be:
Option 1: $11 \frac{1}{3} \%$
Option 2: $12 \frac{1}{2} \%$
Option 3: $13 \frac{1}{3} \%$
Option 4: $13 \frac{1}{2} \%$
Correct Answer: $13 \frac{1}{3} \%$
Solution : Let the marked price be $100$. The discount is $25$% on the Marked Price. So, the selling price = $100 - 25 = 75$ Profit is $70$%. Cost price = $\frac{100}{170}×75=\frac{750}{17}$ If he sells the same table at $50 \%$ discount, New selling
Question : Directions: The marks obtained by 273 examinees are shown by the frequency polygon. Given that the mean mark is 59.5. Study the frequency polygon and answer the given questions.
The percentage of the students who get above 80% marks is:
Option 1: 9.81
Option 2: 10.53
Option 3: 11.28
Option 4: 11.72
Correct Answer: 11.72
Solution : As per the given graph, The number of students who got above 80% marks = 24 + 8 = 32 The total number of students = 273 $\therefore$ The required percentage $=\frac{\text{The number of students who got above 80% marks}}{\operatorname{The total number of students}} ×
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. A_DC_FHGIJ_K_NPOQRT_
Option 1: BEKMS
Option 2: BELNU
Option 3: BELMS
Option 4: BEKNU
Correct Answer: BELMS
Solution : Given: A_DC_FHGIJ_K_NPOQRT_
To fill the series we have to divide the series – A_ / DC / _F / HG / IJ / _K / _N / PO / QR / T_ Let's check the options – First option: BEKMS; AB / DC /
Question : Directions: What will come in the place of ? in the following equation, if + and – are interchanged and × and ÷ are interchanged? 16 ÷ 4 + 15 × 5 – 47 = ?
Option 1: 118
Option 2: 128
Option 3: 138
Option 4: 108
Correct Answer: 108
Solution : Given: 16 ÷ 4 + 15 × 5 – 47 = ?
After interchanging + with –, and × with ÷, the equation will be as follows – = 16 × 4 – 15 ÷ 5 + 47 = 16 × 4 – 3 +
Question : Find a single discount equivalent to two successive discounts of 12% and 8%.
Option 1: 18.8%
Option 2: 19.04%
Option 3: 19.4%
Option 4: 19.8%
Correct Answer: 19.04%
Solution : The equivalent single discount to two successive discount $x$% and $y$% is $(x + y - \frac{xy}{100})$% Here $x$ = 8 and $y$ = 12 ⇒ Equivalent single discount = $8 + 12 - \frac{8 × 12}{100}= 20 - 0.96= 19.04$% Hence, the correct answer
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