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Question : Directions: Pranav went 10 kilometres to the north. Then he turned West and covered 10 kilometres. Then he turned south and covered 5 kilometres. Finally, he turned to the east and covered 10 kilometres. In which direction is he from the starting point?
Option 1: South
Option 2: North
Option 3: East
Option 4: West
Correct Answer: North
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and D is the end point of Pranav.
So, Pranav is in the north direction from the starting point. Hence, the second option is correct.
Question : If the distance between the centres of two circles is 12 cm and the radii are 5 cm and 4 cm, then the length (in cm) of the transverse common tangent is:
Option 1: $9$
Option 2: $\sqrt{143}$
Option 3: $\sqrt{63}$
Option 4: $7$
Correct Answer: $\sqrt{63}$
Solution : Given, the distance between the centres of two circles is 12 cm ($d$) and the radii are 5 cm ($r_1$) and 4 cm ($r_2$). Length of the transverse common tangent line to the circle = $\sqrt{d^2-(r_1+r_2)^2}$ = $\sqrt{12^2-(5+4)^2}$ = $\sqrt{144-81}$ = $\sqrt{63}\ \text{cm}$ Hence, the
Question : Sixteen years ago, my grandfather was 9 times older than me. Eight years from now, he will be 3 times my age. Determine the ratio of my age to my grandfather's age eight years ago.
Option 1: 3 : 8
Option 2: 2 : 5
Option 3: 1 : 2
Option 4: 1 : 5
Correct Answer: 1 : 5
Solution : 16 years ago, let my age and my grandfather's age be $x$ years and $9x$ years respectively. According to the question, $9x+16+8=3(x+16+8)$ ⇒ $9x+24=3x+48+24$ ⇒ $6x=48$ ⇒ $x=8$ Required ratio 8 years ago, = $(x+8):(9x+8)$ = (8 + 8) : (9 × 8
Question : When a body is immersed in a liquid, the force acting on it is:
Option 1: Upthrust
Option 2: Weight
Option 3: Mass
Option 4: Both 1 and 2
Correct Answer: Both 1 and 2
Solution : The correct option is Both 1 and 2.
When a body is immersed in a liquid, it is subjected to two major forces. The first is the weight of the body, which pulls it downward owing to gravity. Upthrust (buoyant force)
Question : Rukmini Devi Arundale is the exponent of which of the following Indian classical dance forms?
Option 1: Bharatanatyam
Option 2: Manipuri
Option 3: Sattriya
Option 4: Odissi
Correct Answer: Bharatanatyam
Solution : The correct option is Bharatanatyam.
Rukmini Devi Arundale was a prominent figure in the world of Indian classical dance, particularly Bharatanatyam. She established Kalakshetra, an important cultural institution in Chennai, in 1936. While preserving the classical elements, she also introduced innovations in terms of costume,
Question : The LCM and ratio of the three numbers are 1386 and 3 : 7 : 11, respectively. The sum of the greatest and least numbers is:
Option 1: 60
Option 2: 64
Option 3: 84
Option 4: 108
Correct Answer: 84
Solution : The LCM and ratio of the three numbers = 1386 Let the numbers be $3x, 7x,$ and $11x$. According to the question: $(3\times7\times11)x=1386$ ⇒ $231x=1386$ $\therefore x=6$ Thus, Least number $= 3x=3\times6=18$ Greatest number $=11x=11\times6=66$ $\therefore$ Sum $=18+66=84$ Hence, the correct answer is 84.
Question : Alivardi Khan was followed by_________ as the Nawab of Bengal.
Option 1: Siraj ud-daulah
Option 2: Murshid Quli Khan
Option 3: Sarfaraz Khan
Option 4: Shuja-ud-Daula
Correct Answer: Siraj ud-daulah
Solution : The correct answer is Siraj ud-daulah.
After the death of the distinguished military commander and statesman Alivardi Khan, his grandson Siraj ud-Daulah became the Nawab of Bengal in 1756. Siraj ud-Daulah's reign was marked by significant political upheaval, including conflicts with the British
Question : Which of the following is a cold-blooded animal?
Option 1: Ape
Option 2: Mouse
Option 3: Snake
Option 4: Wolf
Correct Answer: Snake
Solution : The correct option is Snake
Snakes are cold-blooded (ectothermic) which means they cannot control their body temperature. They depend on outside heat sources like the sun or warm surfaces, to maintain their activity and metabolism. They can survive in a range of environments and
Question : Directions: Q is to the east of S. E is to the south of S. P is to the northeast of Q and north of T. If T is to the south-east of Q, what is the position of S with respect to T? (All positions are arranged in GRID pattern)
Option 1: Southeast
Option 2: Southwest
Option 3: West
Option 4: Northwest
Correct Answer: Northwest
Now, we have to find the position of S with respect to T.
Therefore, S is in the northwest direction with respect to T. Hence, the fourth option is correct.
Question : Directions: Identify the option that is embedded in the following figure (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since there is a restriction on the rotation of the figure, we will check which of the option figures can exactly fit in the given question figure. By comparison of all the option figures, only the first option figure is embedded in the given question figure.
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