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Question : A trader marked the price of a commodity to include a profit of 25% but allowed a discount of 16% on the marked price. His actual profit will be:
Option 1: $16\%$
Option 2:
$25\%$
Option 3:
$5\%$
Option 4:
$9\%$
Correct Answer:
Solution : Let the cost price as $\mathrm{Rs.}\;\mathrm{C}$ and the marked price as $\mathrm{Rs.}\;\mathrm{M}$. The trader marked the price of the commodity to include a profit of $25\%$. $\mathrm{M = C + 0.25C = 1.25C}$ The trader allowed a discount of $16\%$ on the marked price. The
Question : If $\Delta$ PQR and $\Delta$ LMN are similar and 3PQ = LM and MN = 9, then QR is equal to:
Option 1: 9 cm
Option 2: 6 cm
Option 3: 12 cm
Option 4: 3 cm
Correct Answer: 3 cm
Solution : The corresponding sides of two similar triangles are in equal proportion. $\Delta$ PQR $\sim\Delta$ LMN $⇒\frac{\mathrm{PQ}}{\mathrm{LM}} = \frac{\mathrm{QR}}{\mathrm{MN}} = \frac{\mathrm{PR}}{\mathrm{LN}}$ $⇒\frac{\mathrm{PQ}}{\mathrm{LM}} = \frac{QR}{\mathrm{MN}}\\$ $⇒\frac{1}{3} = \frac{\mathrm{QR}}{9\;\mathrm{cm}}\\$ $⇒\mathrm{QR} = 3\;\mathrm{cm}$ Hence, the correct answer is 3 cm.
Question : Directions: In the following question, you must identify the correct response from the given premises according to the following symbols. In a certain code language, + represents ×, – represents +, × represents ÷, and ÷ represents –. What is the answer to the following question? 50 + 5 – 700 × 28 = ?
Option 1: 94
Option 2: 100
Option 3: 90
Option 4: 275
Correct Answer: 275
Solution : Given: 50 + 5 – 700 × 28 = ?
After replacing the symbols as per the instruction, the equation becomes – = 50 × 5 + 700 ÷ 28 = 50 × 5 + 25 = 250 + 25 = 275
275 is the
Question : The tissue in man where no cell division occurs after birth is:
Option 1: Skeletal
Option 2: Nerves
Option 3: Connective
Option 4: Germinal
Correct Answer: Nerves
Solution : The correct option is - Nerves
The tissue in humans where no cell division occurs after birth is nervous tissue, which is a component of the nervous system. Unlike many other tissues in the body (such as skin or blood cells), nervous tissue has limited
Question : The radius of a circle is 3 cm and 'O' is its centre. The length of the tangent (in cm) to the circle drawn from a point P, which is at a distance of 5 cm from 'O' is:
Option 1: 4
Option 2: 6
Option 3: 5
Option 4: 3
Correct Answer: 4
Solution : Given: The radius of a circle OQ is 3 cm and 'O' is its centre. P at a distance of 5 cm from 'O'. If the tangent from P touches the circle at Q. Then, $\triangle$ PQO is a right-angled triangle and the length of
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
My father has been advised to ______ his smoking.
Option 1: cut down
Option 2: cut off
Option 3: cut into
Option 4: cut in
Correct Answer: cut down
Solution : The first option is the correct answer.
"Cut down" is to reduce in size, amount, or quantity.
"Cut off" is to remove or disconnect something from its source or surroundings.
"Cut into" is to make an incision or groove in a surface, often used
Question : Directions: In a certain code language, LOVING is coded as HOJWPM, and EAGLE is coded as FMHBF. What is the code for the word TRUTHFUL in that language?
Option 1: KTEGSTQS
Option 2: SQTSGETK
Option 3: MVGIUVSU
Option 4: USVUIGVM
Correct Answer: MVGIUVSU
Solution : Given: LOVING is coded as HOJWPM, and EAGLE is coded as FMHBF.
Reverse the letters of LOVING, and then add 1 to the place value of each letter, to obtain the required code – Reverse the letters of LOVING→GNIVOL Now, add 1 to the reversed
Question : There are three numbers P, Q, and R. 30 percent of P is equal to the 15 percent of Q. 20 percent of Q is equal to the 10 percent of R. By what percent is R more than P?
Option 1: 150%
Option 2: 300%
Option 3: 200%
Option 4: 250%
Correct Answer: 300%
Solution : Given, 30% of P = 15% of Q ⇒ ($\frac{30}{100}$)P = ($\frac{15}{100}$)Q ⇒ P = ($\frac{1}{2}$)Q also, 20% of Q = 10% of R ⇒ ($\frac{20}{100}$)Q = ($\frac{10}{100}$)R ⇒ Q = ($\frac{1}{2}$)R from the above two relations, we get, P = ($\frac{1}{4}$)R ⇒ R =
Question : Directions: Select the related letter cluster from the given alternatives. JJ : MG :: PP : ?
Option 1: TQ
Option 2: SL
Option 3: SM
Option 4: ST
Correct Answer: SM
Solution : Given: JJ : MG :: PP : ?
Like, JJ→J + 3 = M; J – 3 = G→MG Similarly, PP→P + 3 = S; P – 3 = M→SM
So, SM is the required letter cluster of the given pair. Hence, the third option
Question : Simplify the given expression. (a – 2b)(b – 3a) + (a + b)(a – 3b) – (b – 3a)(4a – 5b)
Option 1: 8a2 – 10ab
Option 2: 8a2 + 10ab
Option 3: 10a2 – 14ab
Option 4: 10a2 – 4ab
Correct Answer: 10a2 – 14ab
Solution : Given: (a – 2b)(b – 3a) + (a + b)(a – 3b) – (b – 3a)(4a – 5b) = (a – 2b)(–3a + b) + (a + b)(a – 3b) – (b – 3a)(4a – 5b) = –3a2 + 6ab +
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