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Question : If the total surface area of a cube is 96 cm2, its volume is:
Option 1: 56 cm3
Option 2: 16 cm3
Option 3: 64 cm3
Option 4: 36 cm3
Correct Answer: 64 cm3
Solution : Given: Total surface area of cube = 96 cm2 Let the sides of the cube be $a$ cm. ⇒ $6a^2 = 96$ ⇒ $a^2 = 16$ ⇒ $a = 4$ Volume of the cube $=a^3 =4^3= 64$ cm3 Hence, the correct
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: BYCX
Option 2: EVFU
Option 3: GTHS
Option 4: LOIR
Correct Answer: LOIR
Solution : Let's evaluate each option First option: BYCX; B + 1 = C; Y – 1 = X Second option: EVFU; E + 1 = F; V – 1 = U Third option: GTHS; G + 1 = H; T – 1 = S Fourth option:
Question : In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of $\angle D$ and $\angle C$, respectively. If $\angle B=82^{\circ}$ and $\angle D E C=80^{\circ}$, then $\angle A=$ ?
Option 1: 75º
Option 2: 81º
Option 3: 84º
Option 4: 78º
Correct Answer: 78º
Solution : Concept used: The sum of all the internal angles of a quadrilateral is 360$^\circ$ The sum of all the internal angles of a triangle is 180$^\circ$ Calculations: In quadrilateral ABCD, $\angle$A + $\angle$B + $\angle$C + $\angle$D = 360$^\circ$ ⇒ $\angle$A + 82° + $\angle$C
Question : A container contains 25 litres of milk. From this container, 5 litres of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?
Option 1: 11.5 litres
Option 2: 14.8 litres
Option 3: 13.5 litres
Option 4: 12.8 litres
Correct Answer: 12.8 litres
Solution : Left quantity = Initial quantity(1 – [Fraction removed])N (Where N = Number of times the process is carried out) Fraction of milk removed = $\frac{5}{25}$ = $\frac{1}{5}$ Now, the quantity of milk left in the container $= 25(1 - \frac{1}{5})^3$ $= 25 ×
Question : Choose the word that means the same as the given word.
Jejune
Option 1: Poignant
Option 2: Drab
Option 3: Unchildlike
Option 4: Cosmopolitan
Correct Answer: Drab
Solution : The correct choice is the second option.
Explanation:
Jejune is an adjective used to describe something that is dull, lacking interest, or insipid. It often refers to ideas, writing, or things that are simplistic and unstimulating.
Drab is a fitting synonym in this context.
Question : A train starts moving from place A at 10: 00 am. and arrives at place B at 5: 30 pm on the same day. If the speed of the train is 80 km/hr, then what will be the distance covered by the train?
Option 1: 600 km
Option 2: 550 km
Option 3: 650 km
Option 4: 450 km
Correct Answer: 600 km
Solution : Given: A train starts moving from place A at 10: 00 am and arrives at place B at 5: 30 pm on the same day i.e. 7 hr 30 mins = 7.5 hours The speed of the train is 80 km/hr. Distance = Speed
Question : Directions: Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern (Rotation is not allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here, each part is rotated by 90° in a clockwise direction. On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the second option is correct.
Question : Comprehension:
In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Sudden changes in the gilts market are (1)______, but when they do happen they can cause (2)_______ problems for certain types of pension schemes, such as UK pension savers (3)_______ recently. In addition to raising borrowing costs for the government, the market mayhem following September’s mini-budget (4)______ many pension providers to quickly cash in some of their holdings to try to weather the (5)_____.
Select the most appropriate option to fill in the blank number 3.
Option 1: seen
Option 2: have seen
Option 3: has seen
Option 4: did saw
Correct Answer: have seen
The sentence structure in the passage is in the present perfect tense, indicating actions or events that have occurred at an unspecified time before now or have a connection to the present.
The phrase "as UK pension
Question : The remainder when 72 × 73 × 78 × 76 is divided by 35 is:
Option 1: 12
Option 2: 15
Option 3: 22
Option 4: 8
Correct Answer: 8
Solution : (72 × 73 × 78 × 76) divided by 35 We divide every number individually by 35, then the total remainder is also divided by 35 to get the required remainder. $\frac{(72 × 73 × 78 × 76)}{35}$ ⇒ $\frac{(2 × 3 × 8 ×
Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary. i. Worrisome ii. Wonderful iii. Worthless iv. Wrong
Option 1: iv, ii, i, iii
Option 2: ii, i, iii, iv
Option 3: ii, iii, i, iv
Option 4: i, iv, iii, ii
Correct Answer: ii, i, iii, iv
Solution : Given: i. Worrisome ii. Wonderful iii. Worthless iv. Wrong
Step 1: Consider the first letter of each word. Since all the words start with the same letter W, move on to the next letter. Step 2: The second letter of each
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