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Question : What is the value of $\frac{0.1 \div 0.2 \times 0.3+0.4 \times 0.5 \div 0.1}{0.1 \times 0.2-0.01} ?$
Option 1: 220
Option 2: 210
Option 3: 216
Option 4: 215
Correct Answer: 215
Solution : Given: $\frac{0.1 \div 0.2 \times 0.3+0.4 \times 0.5 \div 0.1}{0.1 \times 0.2-0.01}$ = $\frac{\frac{0.1}{0.2} \times 0.3+0.4 \times \frac{0.5}{0.1}}{0.1 \times 0.2-0.01}$ = $\frac{\frac{1}{2} \times 0.3+0.4 \times \frac{5}{1}}{ 0.02-0.01}$ = $\frac{\frac{0.3}{2} +2 }{0.01}$ = $\frac{4.3}{0.02}$ = 215 Hence, the correct answer is 215.
Question : The angle subtended by a chord OP on the circumference of a circle is 90°. If the diameter of the circle is 44 cm, then what will be the length of the chord OP?
Option 1: 44 cm
Option 2: 88 cm
Option 3: 66 cm
Option 4: 22 cm
Correct Answer: 44 cm
Solution :
Given: OP = 44 cm If an angle subtended by a chord on the circumference of a circle is 90°, then the chord is the diameter of the circle. Hence, the correct answer is 44 cm.
Question : The average of 15 numbers is 7. If the average of the first 8 numbers is 6.5 and the average of the last 8 numbers is 8.5, then the middle number is:
Option 1: 10
Option 2: 23
Option 3: 13
Option 4: 15
Correct Answer: 15
Solution : Given: Average of 15 results = 7 Average of first seven = 6.5 Average of last seven = 7.5 According to the question, Sum of all results = 15 × 7 = 105 Sum of first seven results = 8 × 6.5 = 52 Sum
Question : The average height of 40 sticks is 156 cm. Some sticks of average height 162 cm are taken out. If the new average height is 150 cm, how many sticks remain?
Option 1: 25
Option 2: 20
Option 3: 16
Option 4: 32
Correct Answer: 20
Solution : The average height of 40 sticks is 156 cm. Total height = 40 × 156 cm Some sticks of average height 162 cm are taken out. Let that number of sticks be $x$. According to the question, $40 × 156 -162x=150(40-x)$ $⇒6240-162x=6000-150x$ $⇒12x=240$ $\therefore x
Question : Direction: In the given question, select the related letters from the given alternatives.
DLIP : FNKR :: JROV : ?
Option 1: MURY
Option 2: LTQX
Option 3: NVSZ
Option 4: KSPW
Correct Answer: LTQX
Solution : Given:
Like, D + 2 = F; L + 2 = N; I + 2 = K; P + 2 = R
Similarly, J + 2 = L; R + 2 = T;
Question : Directions: Select the term from among the given options that can replace the question mark (?) in the following series based on the English alphabetical order. SLZ, PHW, ?, JZQ, GVN
Option 1: MDT
Option 2: NFS
Option 3: NES
Option 4: MFT
Correct Answer: MDT
Solution : Given: SLZ, PHW, ?, JZQ, GVN
In the above-given letter clusters, subtract 3 from the place value of the first and third letters and subtract 4 from the place value of the second letter to get the next term of the series. SLZ→S – 3
Question : Select the most appropriate option that can substitute the underlined words in the given sentence. She has gone to the stationery store to buy a scissor.
Option 1: buying a pair of scissors
Option 2: buy a scissors
Option 3: buy a pair of scissors
Option 4: buy a pair of scissor
Correct Answer: buy a pair of scissors
Solution : The correct choice is the third option.
Explanation: The sentence needs "a pair of scissors" because "scissors" is a plural noun. "Pair" is used to indicate two connected objects functioning together. The sentence means she's purchasing a tool with
Question : Directions: Sales of Books (in thousand numbers) from six Branches - B1, B2, B3, B4, B5 and B6 of a publishing Company in 2000 and 2001. Study the graph and answer the questions. The total sale of branches B1, B3, and B5 together for both the years (in thousands) is:
Option 1: 250
Option 2: 310
Option 3: 435
Option 4: 560
Correct Answer: 560
Solution : Total sale of branches B1, B3 and B5 together for both the years = (80 + 105 + 95 +110 + 75 + 95) thousands = 560 thousands Hence, the correct answer is 560.
Question : The first grammarian of the Sanskrit language was
Option 1: Kalhana
Option 2: Maitreyl
Option 3: Kalidas
Option 4: Panini
Correct Answer: Panini
Solution : The correct option is Panini.
Panini was the first grammarian of the Sanskrit language. The writings of Panini set the groundwork for the study of Sanskrit and had a significant impact on the growth of linguistic analysis and grammar throughout the world.
Question : In a trapezium ABCD, AB and DC are parallel to each other with a perpendicular distance of 8 m between them. Also, AD = BC = 10 m, and AB = 15 m < DC. What is the perimeter (in m) of the trapezium ABCD?
Option 1: 50
Option 2: 66
Option 3: 62
Option 4: 58
Correct Answer: 62
Solution : ⇒ AD = BC = 10 m ⇒ AB = EF = 15 m ⇒ AE = BF = 8 m In $\triangle$ADE, By Pythagoras theorem, AD2 = AE2 + DE2 DE = $\sqrt{10^2-8^2}$ = $\sqrt{100-64}$ = $\sqrt{36}$ = 6 m ⇒
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