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Question : Directions: If A denotes addition, B denotes multiplication, C denotes subtraction, and D denotes division, then what will be the value of the following expression? 74 A (31 B 2) B 2 C (68 C 4) D (4 B 2) = ?
Option 1: 188
Option 2: 190
Option 3: 98
Option 4: 160
Correct Answer: 190
Solution : Given: 74 A (31 B 2) B 2 C (68 C 4) D (4 B 2) = ?
On replacing the alphabet with mathematical signs, we get – = 74 + (31 × 2) × 2 – (68 – 4) ÷ (4 × 2) =
Question : In the given figure $\mathrm{PQRS}$, a square of side $20\;\mathrm{cm}$ and $\mathrm{SR}$ is extended to point $\mathrm{T}$. If the length of $\mathrm{QT}$ is $25\;\mathrm{cm}$, then what is the distance (in $\mathrm{cm}$) between the centres, $\mathrm{O_1}$ and $\mathrm{O_2}$, of the two circles?
Option 1: $5\sqrt{10}$
Option 2: $4\sqrt{10}$
Option 3: $2\sqrt{10}$
Option 4: $16\sqrt{2}$
Correct Answer: $5\sqrt{10}$
Solution :
We have, $\mathrm{QT}=25\;\mathrm{cm}$ and $\mathrm{QR=SR}=20\;\mathrm{cm}$ Construction: Join $\mathrm{O_1B}$ and $\mathrm{O_2C}$. In $\triangle \mathrm{QRT}$, $⇒\mathrm{QT^2=QR^2+RT^2}$ $⇒\mathrm{RT=15}\;\mathrm{cm}$ Inradius of triangle QRT $=\mathrm{\frac{15+20-25}{2} = 5\;\mathrm{cm}}$ $⇒\mathrm{O_2C=5\;\mathrm{cm}}$ Since, $\mathrm{O_1B=10}\;\mathrm{cm}$ and $\mathrm{AB=5\;\mathrm{cm}}$ $⇒\mathrm{O_1A= O_1B-AB=5\;\mathrm{cm}}$ $⇒\mathrm{O_2A= O_1B+AB=15\;\mathrm{cm}}$ Use Pythagoras' theorem in $\triangle\mathrm{ AO_1O_2}$ $⇒\mathrm{(O_1O_2)^2=(O_1A)^2+(O_2A)^2=15^2+5^2=250}$ $⇒\mathrm{O_1O_2}=5\sqrt{10}\;\mathrm{cm}$ Hence, the correct answer is $5\sqrt{10}$.
Question : Deepali made a model of a cylindrical kaleidoscope for her science project. She uses a chart paper to make it. if the length of the kaleidoscope is 25 cm and the radius is 3.5 cm, the area of the paper she used, in the project is: $\left ( \pi=\frac{22}{7} \right )$
Option 1: 1100 cm2
Option 2: 550 cm2
Option 3: 500 cm2
Option 4: 450 cm2
Correct Answer: 550 cm2
Solution : The area of the paper used to make the cylindrical kaleidoscope $= 2\pi r h$, where \(r\) is the radius of the cylinder and \(h\) is the height of the cylinder. Given: r = 3.5 cm and h = 25 cm Area required
Question : Select the most appropriate ANTONYM of the given word. Abhor
Option 1: Occupy
Option 2: Despise
Option 3: Danger
Option 4: Love
Correct Answer: Love
Solution : The correct answer to this question is the fourth option.
Explanation: "Abhor" and "love" are opposites in terms of emotions and attitudes. When you abhor something, you have a strong dislike or hatred for it. On the other hand, when you love something, you have
Question : Directions: Select the related letter cluster from the given alternatives. DHLP : WSOK :: FJNR : ?
Option 1: UQMI
Option 2: TPLH
Option 3: SOKG
Option 4: VRNJ
Correct Answer: UQMI
Solution : Given: DHLP : WSOK :: FJNR : ?
Like, DHLP : WSOK→(DW, HS, LO, PK) are opposite pairs. Similarly, FJNR : (?)→(FU, JQ, NM, RI) are opposite pairs.
Thus, FJNR is coded as UQMI. Hence, the first option is correct.
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: 63
Option 2: 69
Option 3: 65
Option 4: 66
Correct Answer: 66
Solution : Let's check the options – First option: 63; 63 is an odd number as it is not divisible by 2. Second option: 69; 69 is an odd number as it is not divisible by 2. Third option: 65; 65 is an odd number as it
Question : Select the most appropriate synonym of the given word. Earnestly
Option 1: Wordily
Option 2: Ambiguously
Option 3: Verbosely
Option 4: Sincerely
Correct Answer: Sincerely
Solution : The correct choice is the fourth option.
Earnestly means with deep sincerity, seriousness, and commitment and sincerely means with genuine and honest intent, truthfulness, or commitment similar in meaning to earnestly.
The meanings of the other options are as follows:
Wordily: It means an
Question : Directions: Find the odd word pair from the given responses.
Option 1: Play – Actor
Option 2: Building – Architect
Option 3: Craft – Artisan
Option 4: Cloth – Skirt
Correct Answer: Cloth – Skirt
Solution : Let's check the options – First option: Play – Actor; An actor performs in the play. Second option: Building – Architect; An architect builds a building. Third option: Craft – Artisan; An artisan crafts material objects by hand. Fourth option: Cloth – Skirt;
Question : The average of 11 numbers is 7. If every number is doubled, what will be the new average of the numbers?
Option 1: 3.5
Option 2: 7
Option 3: 10.5
Option 4: 14
Correct Answer: 14
Solution : Given: The average of 11 numbers is 7. Total of 11 numbers = 11 × 7 = 77 If every number is doubled, their total will also be doubled. So, new total = 77 × 2 = 154 So, new average = $\frac{154}{11}$ = 14
Question : Directions: What will come in the place of ? in the following equation, if – + is changed with – – is changed with ÷ ÷ is changed with + × is unchanged 120 – 6 + 31 ÷ 8 × 11 = ?
Option 1: 69
Option 2: 73
Option 3: 77
Option 4: 55
Correct Answer: 77
Solution : Given: + is changed with – – is changed with ÷ ÷ is changed with + × is unchanged 120 – 6 + 31 ÷ 8 × 11
As per the given instructions, the new equation would be – = 120 ÷ 6 – 31
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