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Question : There are two circles which touch each other externally. The radius of the first circle with centre O is 17 cm and the radius of the second circle with centre A is 7 cm. BC is a direct common tangent to these two circles, where B and C are points on the circles with centres O and A, respectively. The length of BC is:
Option 1: $2 \sqrt{118} $ cm
Option 2: $2 \sqrt{119} $ cm
Option 3: $2 \sqrt{113} $ cm
Option 4: $2 \sqrt{117}$ cm
Correct Answer: $2 \sqrt{119} $ cm
Solution : Since AB $\perp$ BC and AQ $\perp$ OC, AQBC is a rectangle with sides AQ = BC and AB = QC. ⇒ AP = AB = QC = 7 cm and OC = OP = 17 cm Also, AO = AP +
Question : If $\triangle ABC$~$\triangle PQR$, the ratio of perimeter of $\triangle ABC$ to perimeter of $\triangle PQR$ is 36 : 23 and QR = 3.8 cm, then the length of BC is:
Option 1: $4 \frac{103}{121} cm$
Option 2: $3 \frac{109}{121} cm$
Option 3: $5 \frac{109}{115} cm$
Option 4: $3 \frac{107}{115} cm$
Correct Answer: $5 \frac{109}{115} cm$
Solution : $\triangle ABC$~$\triangle PQR$ $\frac{BC}{QR}$ = $\frac{Perimeter(\triangle ABC)}{Perimeter(\triangle PQR)}$ $\frac{BC}{3.8}$ = $\frac{36}{23}$ BC = $\frac{36×38}{230}$ = $ \frac{684}{115}$ = $5 \frac{109}{115}$ cm Hence, the correct answer is $5 \frac{109}{115}$ cm.
Question : Name the river which is a reason for the dispute between India and Bangladesh?
Option 1: Teesta
Option 2: Brahmaputra
Option 3: Ganga
Option 4: None of the above
Correct Answer: Teesta
Solution : The correct option is Teesta.
The Teesta River water-sharing dispute has been a point of contention between Bangladesh and India. The Teesta River is a significant River for both India and Bangladesh. It drains 2800 sq. km of Bangladesh and almost fills the floodplains
Question : Identify the segment that contains a grammatical error. If there is no error, select 'No Error'.
In practice rounds, my caddie, Greg, / and me works on my short/ game with a baseball glove.
Option 1: and me works on my short
Option 2: No Error
Option 3: game with a baseball glove.
Option 4: In practice rounds, my caddie, Greg,
Correct Answer: and me works on my short
Solution : The correct choice is the first option.
Explanation: Me is an objective pronoun and cannot be used as the subject of the sentence. The correct subjective pronoun to use in this case is I, and the correct verb
Question : A laptop is sold for Rs. 54,000 after giving a discount of 20%. What is the list price (in Rs.) of the laptop?
Option 1: 69,500
Option 2: 67,500
Option 3: 70,000
Option 4: 64,800
Correct Answer: 67,500
Solution : Given: A laptop is sold for Rs. 54,000 after giving a discount of 20%. Let the list price be $x$. The selling price of the laptop = 80% of the list price 54000 = $\frac{80x}{100}$ ⇒ $x$ = Rs. 67,500 Hence, the correct answer is
Question : Select the most appropriate ANTONYM of the underlined word. The love between them is blooming.
Option 1: Flourishing
Option 2: Sprouting
Option 3: Growing
Option 4: Fading
Correct Answer: Fading
Solution : The correct answer is the fourth option.
While blooming suggests the growth and flourishing of love, fading indicates the opposite, that the love is diminishing or losing its intensity. Fading is the antonym of blooming. It means that something is diminishing or losing intensity.
The
Question : Select the most appropriate option to fill in the blank. She has __________ her money and jewellery to help the poor.
Option 1: given up
Option 2: given away
Option 3: given in
Option 4: given way
Correct Answer: given away
Solution : The correct choice is the second option.
The phrase given away is commonly used to express the act of donating or gifting something to someone else without expecting anything in return.
In the context of the sentence you provided, it describes an action
Question : Which of the following countries hosted the inaugural FIVB Volleyball Men's World Cup?
Option 1: 1965, Poland
Option 2: 1977, Japan
Option 3: 1969, East Germany
Option 4: 1981, Japan
Correct Answer: 1965, Poland
Solution : The correct option is 1965, Poland.
Poland hosted the inaugural FIVB Volleyball Men's World Cup in 1965. The Soviet Union emerged victorious, claiming the first gold medal in World Cup history. Although Czechoslovakia was one of the early pioneers of volleyball and hosted
Question : A person borrowed INR 2,000 at 5% annual simple interest repayable in 3 equal annual instalments. What will be the annual instalment?
Option 1: INR $730\frac{10}{63}$
Option 2: INR $840\frac{10}{63}$
Option 3: INR $640\frac{11}{63}$
Option 4: INR $250\frac{10}{63}$
Correct Answer: INR $730\frac{10}{63}$
Solution : P = INR 2,000 Rate = 5% Time = 3 years Instalment = $\frac{A\times 100}{N\times 100 + ((N-1) + (N-2) + .....1)\times R }$ where, $A$ = Amount, $R$ = Rate, $N$ = Number of Years Simple Interest = $\frac{P\times R\times T}{100} = \frac{2000\times
Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. TR4 : XC64 :: AC3 : EN27 :: FP6 : ?
Option 1: JA216
Option 2: JB125
Option 3: JAl25
Option 4: JB216
Correct Answer: JA216
Solution : Given: TR4 : XC64 :: AC3 : EN27 :: FP6 : ?
Like, TR4 : XC64→T(20) + 4 = X; R(18) + 11 = C; (4)3 = 64 And, AC3 : EN27→A(1) + 4 = E; C(3) + 11 = N; (3)3 =
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