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Question : Directions: Select the letter cluster that can replace the question mark (?) in the given letter cluster series. THC, DIU, VJE, FKW, XLG, ?
Option 1: GMX
Option 2: HNZ
Option 3: HMY
Option 4: FKX
Correct Answer: HMY
Solution : Given: THC, DIU, VJE, FKW, XLG, ?
Follow the pattern as shown below to obtain the next letter cluster –
So, HMY is the missing term in the series. Hence, the third option is correct.
Question : Directions: If A stands for ÷, B stands for ×, C stands for +, and D stands for – what will come in place of the question mark (?) in the following equation? 13 B 145 A 29 C 69 D 17 = ?
Option 1: 119
Option 2: 121
Option 3: 115
Option 4: 117
Correct Answer: 117
Solution : Given: A stands for ÷, B stands for ×, C stands for +, D stands for – 13 B 145 A 29 C 69 D 17 = ?
Changing the sign as per the instruction and solving the equation, we will get – = 13
Question : What will be the length of the longest diagonal of the cuboid having a length of 13 cm, width of 11 cm, and height of 20 cm?
Option 1: 23.45 cm
Option 2: 26.27 cm
Option 3: 34.65 cm
Option 4: 22.65 cm
Correct Answer: 26.27 cm
Solution : Given: Length($l$) = 13 cm, width($b$) = 11 cm, and height($h$) = 20 cm Length of the longest diagonal of the cuboid $=\sqrt{13^2 + 11^2 + 20^2}$ $= \sqrt{169 + 121 + 400}$ $= \sqrt{690}$ $= 26.27$ cm Hence, the correct answer is 26.27
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Two of the biggest corporate firms in the world are Apple and IBM (which both are) in the computer business.
(1) which are both
(2) both of which are
(3) which are
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
Explanation:
"Both of which are" is the most appropriate choice for the context, providing a clear and idiomatic way to express the idea that both Apple and IBM are in the computer business.
So, the correct sentence would
Question : A work was finished by L, P, and Q together. L and P together finished 50% part of the work and P and Q together finished 60% part of the work. Who among the three is most efficient?
Option 1: All are equally efficient
Option 2: L
Option 3: Q
Option 4: P
Correct Answer: Q
Solution : Let the total amount of work be a. ⇒ Work done by L and P together = $\frac{50}{100}$a = 0.5 a ⇒ Work done by Q alone = a – 0.5 a = 0.5 a Also, Work done by P and Q together = $\frac{60}{100}$a
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.
He stood _______ Ankita, but could not utter a single word for quite some time.
Option 1: to
Option 2: for
Option 3: before
Option 4: towards
Correct Answer: before
Solution : The third option is the correct choice.
Question : Aditya can complete a grill painting job in 20 hours, while Vinay can complete the same work in 15 hours. If Aditya and Vinay both work together, then in how many hours will the painting work be completed?
Option 1: $10 \frac{2}{3}$ hours
Option 2: $10$ hours
Option 3: $12$ hours
Option 4: $8 \frac{4}{7}$ hours
Correct Answer: $8 \frac{4}{7}$ hours
Solution : Given: Aditya can complete a grill painting job in 20 hours. Vinay can complete the same work in 15 hours. Let the total work be LCM of (20, 15) = 60 units ⇒ Efficiency of Aditya = $\frac{60}{20} = 3$ units/hour ⇒ Efficiency
Question : Which of the following is an extinct species?
Option 1: Hornbill
Option 2: Andaman wild pig
Option 3: Pink head duck
Option 4: Andaman teal
Correct Answer: Pink head duck
Solution : The correct option is Pink head duck.
The extinct species among the options you provided is the Pink-headed duck. The Pink-headed duck is a species of waterfowl that is believed to be extinct, with the last confirmed sightings dating back to the
Question : A train 180 m long moving at a speed of 20 m/sec overtakes a man moving at a speed of 10 m/sec in the same direction. The train passes the man in:
Option 1: 6 sec
Option 2: 9 sec
Option 3: 18 sec
Option 4: 27 sec
Correct Answer: 18 sec
Solution : Distance = length of train = 180 m Speed of train = 20 m/s Speed of main = 10 m/s The direction of both the train and the man is the same. So, relative speed = 20 - 10 = 10 m/s Required time
Question : $\triangle \mathrm{ABC} \sim \triangle \mathrm{DEF}$ and the perimeters of these triangles are 32 cm and 12 cm, respectively. If $\mathrm{DE}=6 \mathrm{~cm}$, then what will be the length of AB?
Option 1: 16 cm
Option 2: 14 cm
Option 3: 12 cm
Option 4: 18 cm
Correct Answer: 16 cm
Solution : If two triangles are similar, then their perimeters are directly proportional to the length of their corresponding sides. So, $\frac{\text{Perimeter of $\triangle$ABC}}{\text{Perimeter of $\triangle$ABC}}= \frac{AB}{DE} = \frac{32}{12}$ ⇒ $AB = \frac{32}{12}\times 6$ ⇒ $AB = 16\ \mathrm{cm}$ Hence, the correct answer is 16 cm.
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