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Question : If the area of a parallelogram is 508 m2 and its base is 40 m, then what is the corresponding height of the parallelogram?
Option 1: 10.8 m
Option 2: 18.4 m
Option 3: 12.7 m
Option 4: 22.2 m
Correct Answer: 12.7 m
Solution : Given: Area of a parallelogram = 508 m2 and Base = 40 m We know that, Area of parallelogram = base × corresponding height ⇒ 508 = 40 × height ⇒ Height = $\frac{508}{40}$ = 12.7 Hence, the correct answer is 12.7 m.
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. Cataract : Eyes :: Psoriasis : ?
Option 1: Leg
Option 2: Hair
Option 3: Ear
Option 4: Skin
Correct Answer: Skin
Solution : Given: Cataract : Eyes :: Psoriasis : ?
Like, Cataract is a disease that affects the eyes. Similarly, Psoriasis is a disease that affects the skin.
Hence, the fourth option is correct.
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 16 : 8 :: 36 : 12 :: 64 : ?
Option 1: 24
Option 2: 18
Option 3: 16
Option 4: 20
Correct Answer: 16
Solution : Given: 16 : 8 :: 36 : 12 :: 64 : ?
Divide the first, third, and fourth numbers by the consecutive natural numbers to get the second, fourth, and sixth numbers – Like in, 16 : 8→16 ÷ 2 = 8 And in,
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: DCEB
Option 2: PNQST
Option 3: VKHGM
Option 4: WPZLH
Correct Answer: DCEB
Solution : Let's check the options – First option: DCEB; There is only one vowel and three consonants in this option. Second option: PNQST; This option contains five consonants and no vowels. Third option: VKHGM; This option contains five consonants and no vowels. Fourth option: WPZLH; This
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. MOCK : NLXP :: DART : ?
Option 1: VZIH
Option 2: WZIG
Option 3: WZJG
Option 4: ZYKI
Correct Answer: WZIG
Solution : Given: MOCK : NLXP :: DART : ?
The first letter cluster is coded by its opposite letters in the second cluster. Like, MOCK : NLXP – M→N; O→L; C→X; K→P Similarly, follow the same pattern for DART : ? – D→W; A→Z; R→I; T→G
Question : A water tap fills a tub in '$p$' hours and a sink at the bottom empties it in '$q$' hours. If $p < q$, both tap and sink are open, and the tank is filled in '$r$' hours, then:
Option 1: $\frac{1}{r}$ = $\frac{1}{p}+\frac{1}{q}$
Option 2: $\frac{1}{r}$ = $\frac{1}{p}-\frac{1}{q}$
Option 3: $r = p + q$
Option 4: $r = p - q$
Correct Answer: $\frac{1}{r}$ = $\frac{1}{p}-\frac{1}{q}$
Solution : Given: A water tap fills a tub in '$p$' hours and a sink at the bottom empties it in '$q$' hours where $p < q$. So, in 1 hour the tap will fill $\frac{1}{p}$ part of the tub. Also, in 1 hour the
Question : The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use $\pi=\frac{22}{7}$)
Option 1: 345.6 cm3
Option 2: 359.3 cm3
Option 3: 379.3 cm3
Option 4: 369.3 cm3
Correct Answer: 359.3 cm3
Solution : Given, a bigger radius, $R$ = 5 cm Smaller radius, $r$ = 3 cm Height, $h$ = 7 cm Volume of frustum = $\frac{1}{3}\pi(R^2+Rr+r^2)h$ = $\frac{1}{3}\times\frac{22}{7}\times(5^2+5\times 3+3^2)\times 7$ = $\frac{1}{3}\times 22\times 49$ = 359.3 Hence, the correct answer is 359.3 cm3.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
When it's your idea, you want to (1) ______ about it all the time. I've had this problem on more than a few occasions now. I know there shouldn't be any shame in (2) ______ your work, but it's such a task to draw the line. In my case, since my work is all things related to social media, this problem gets even (3) ______ convoluted. Long story short, I hate that I (4) ______ have to worry about when it's okay to promote, and when it's (5) ______.
Question: Select the most appropriate option to fill in the blank number 1.
Option 1: customise
Option 2: express
Option 3: talk
Option 4: meet
Correct Answer: talk
Solution : The correct choice is the third option.
The context of the sentence suggests that when it's your idea, you are likely to discuss or talk about it. The word "talk" fits well in the blank and maintains the coherence of the passage.
Therefore, the complete
Question : Directions: In the following question, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 4E, 8I, 13N, 19T, ?
Option 1: 26U
Option 2: 26A
Option 3: 26Z
Option 4: 25Y
Correct Answer: 26A
Solution : Given: 4E, 8I, 13N, 19T, ?
For number-based series – Add consecutive natural numbers to the previous numeric term of the given series. 4 + 4 = 8; 8 + 5 = 13; 13 + 6 = 19; 19 + 7 = 26 For letter-based
Question : Find the area of the trapezium whose parallel sides measure 14 cm, and 18 cm and the distance between parallel sides is 15 cm.
Option 1: 310 cm2
Option 2: 300 cm2
Option 3: 220 cm2
Option 4: 240 cm2
Correct Answer: 240 cm2
Solution : The area of a trapezium = $\frac{1}{2}$ × (sum of lengths of parallel sides) × (distance between parallel sides) Substituting the given values into the formula, $\therefore$ Area = $\frac{1}{2}$ × (14 + 18) × 15 = 240 cm2 Hence, the correct
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