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Question : Directions: Identify the next letter in the following series. a d c e b e d f c f e ?
Option 1: h
Option 2: g
Option 3: f
Option 4: d
Correct Answer: g
Solution : Given: a d c e b e d f c f e ?
Divide the series into 3 parts → a d c e / b e d f / c f e ? Now, add 1 to each letter of the first part to
Question : The LCM of 144, 360, and 450 is:
Option 1: 4800
Option 2: 3600
Option 3: 7200
Option 4: 2400
Correct Answer: 3600
Solution : Prime factorization of 144 = 24 × 32 Prime factorization of 360 = 23 × 32 × 5 Prime factorization of 450 = 2 × 32 × 52 LCM = 24 × 32 × 52 =
Question : If C1 and C2 are the centres of two circles and r1 and r2 are the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.
Option 1: 4
Option 2: 2
Option 3: 1
Option 4: 3
Correct Answer: 3
Solution : Since the distance between the centres is equal to the sum of the radii of the two circles, the two circles touch each other as shown in the figure. So, there are 3 common tangents. Hence, the correct answer is 3.
Question : Which country is the biggest producer of rice as of 2021?
Option 1: Russia
Option 2: China
Option 3: Brazil
Option 4: Bangladesh
Correct Answer: China
Solution : The correct option is China.
For many years, China has been the world's leading producer of rice, with India ranking second. Significant rice-producing nations also include Bangladesh, Vietnam, Thailand, Myanmar and Indonesia. Rice is grown in diverse climates, ranging from tropical to temperate regions.
Question : What is the value of $\frac{14+7-12+15-17+2-3+17}{2+7-9+2-4+22} ?$
Option 1: $\frac{23}{20}$
Option 2: $\frac{17}{20}$
Option 3: $\frac{19}{20}$
Option 4: $\frac{33}{20}$
Correct Answer: $\frac{23}{20}$
Solution : $\frac{14+7-12+15-17+2-3+17}{2+7-9+2-4+22}$ $= \frac{55-32}{33-13}$ $=\frac{23}{20}$ Hence, the correct answer is $\frac{23}{20}$.
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. EFGHI, LMNO, RST, WX, ?
Option 1: A
Option 2: D
Option 3: B
Option 4: E
Correct Answer: A
Solution : Given: EFGHI, LMNO, RST, WX, ?
Each term of the series contains consecutive letters in alphabetical order and the number of letters in each term of the series decreases by 1. EFGHI→5, LMNO→4, RST→3, WX→2; The next term will contain only one letter. Add 3
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (6, 1, 18); (5, 4, 60); (6, 2, ?)
Option 1: 36
Option 2: 32
Option 3: 40
Option 4: 24
Correct Answer: 36
Solution : Given: (6, 1, 18); (5, 4, 60); (6, 2, ?)
Here, (6, 1, 18)→6 × 1 = 6; 6 × 3 = 18 (5, 4, 60)→5 × 4 = 20; 20 × 3 = 60 Similarly, (6, 2, ?)→6 × 2 = 12; 12 ×
Question : If the perimeter of an equilateral triangle is 18 cm, then the length of each median is:
Option 1: $3\sqrt2$ cm
Option 2: $2\sqrt3$ cm
Option 3: $3\sqrt3$ cm
Option 4: $2\sqrt2$ cm
Correct Answer: $3\sqrt3$ cm
Solution : Let $a$ be the side of the triangle. The perimeter of an equilateral triangle = 18 cm $3a=18$ $\therefore a=\frac{18}{3}=6$ cm So, length of the median $=\frac{\sqrt3a}{2}=\frac{\sqrt3×6}{2}=3\sqrt3$ cm Hence, the correct answer is $3\sqrt3$ cm.
Question : Chemical name of bleaching powder is
Option 1: Calcium chlorate
Option 2: Calcium hypochlorite
Option 3: Calcium chloro hypochloride
Option 4: Calcium bi chloride
Correct Answer: Calcium hypochlorite
Solution : The correct option is calcium hypochlorite.
The chemical name of bleaching powder is calcium hypochlorite, with the chemical formula Ca(ClO)₂. It is a chemical compound that is widely used for its bleaching, disinfecting, and oxidizing properties.
Question : Direction: In the following question, select the missing number from the given responses.
Option 1: 65
Option 2: 85
Option 3: 52
Option 4: 76
Correct Answer: 65
Solution : Given:
Like, in the first column→ 82 + 32 + 12 = 74
And, in the second column→ 52 + 72 + 42 = 90
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