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Question : What is the value of 512 × 3 – 25 ÷ 15 × 9?
Option 1: 1521
Option 2: 1425
Option 3: 1486
Option 4: 1536
Correct Answer: 1521
Solution : Given: $512 × 3 - 25 ÷ 15 × 9$ $= 1536 - \frac{25}{15} × 9$ $= 1536 - \frac{5}{3} × 9$ $= 1536 - 15$ $= 1521$ Hence, the correct answer is 1521.
Question : Directions: If 3 % 2 = 50, 2 % 4 = 60 then, what is the value of 5 % 4 = ?
Option 1: 16
Option 2: 9
Option 3: 90
Option 4: 20
Correct Answer: 90
Solution : Given: 3 % 2 = 50, 2 % 4 = 60, 5 % 4 = ?
Substitute + in place of % and multiply it by 10 – 3 % 2 = 50 is (3 + 2) × 10 = 5 × 10 = 50
Question : A chord of length 40 cm is drawn in a circle having a diameter of 50 cm. What is the a minimum distance of another parallel chord of length 30 cm in the same circle from a 40 cm long chord?
Option 1: 10 cm
Option 2: 15 cm
Option 3: 5 cm
Option 4: 20 cm
Correct Answer: 5 cm
Solution : Let C be the centre of the circle and AB and CD be the shorter and longer chords respectively. Since the minimum distance is required, the chords must be on the same side of the centre of the circle. AB = 30 cm and
Question : Directions: Identify the answer figure from which the pieces given in the question figure have been cut.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The various parts of the figure can be numbered as follows –
The parts can be arranged in the following manner –
The above-compiled figure matches the figure given in the fourth option. Hence, the fourth option is correct.
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. 1, 8, 17, 30, ?, 76
Option 1: 39
Option 2: 49
Option 3: 59
Option 4: 69
Correct Answer: 49
Solution : Given: 1, 8, 17, 30, ?, 76
The pattern is as follows –
So, the missing number is 49. Hence, the second option is correct.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
He lives far from the station.
(1) No Improvement
(2) away from the station
(3) a long way from the station
(4) off the station
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct improvement for the sentence is: a long way from the station
Explanation: This option is the correct improvement because it provides a more detailed description of the distance between the person's residence and the station. "He lives a long way from the station
Question : Directions: Six friends are sitting in a circle facing the centre. Sumit sits second to the right of Amit. Karan is an immediate neighbour of Param. Tony sits third to the right of Amit. Dharam is an immediate neighbour of Amit and Sumit. Karan sits second to the right of Sumit. Who sits fourth to the right of Param?
Option 1: Karan
Option 2: Sumit
Option 3: Dharam
Option 4: Tony
Correct Answer: Tony
Solution : Given: (I) Six friends are sitting in a circle facing the centre.
(II) Sumit sits second to the right of Amit. Karan is an immediate neighbour of Param. Tony sits third to the right of Amit. Dharam is an immediate neighbour of Amit and Sumit.
Question : Palk Strait separates
Option 1: India and Pakistan
Option 2: India and Burma
Option 3: India and Sri Lanka
Option 4: India and Afghanistan
Correct Answer: India and Sri Lanka
Solution : The correct option is India and Sri Lanka.
The Jaffna District of Sri Lanka and Tamil Nadu in India are separated by the Palk Strait. It links Palk Bay in the southwest with the Bay of Bengal in the northeast. It measures
Question : $ABC$ is a triangle. $AB = 5$ cm, $AC = \sqrt{41}$ cm and $BC = 8$ cm. $AD$ is perpendicular to $BC$. What is the area (in cm2) of $\triangle ABD$?
Option 1: 12
Option 2: 6
Option 3: 10
Correct Answer: 6
Solution :
Let the length of $BD=x$ cm, then $CD= (8-x)$ cm. In $\triangle ADB$ $AB^2=AD^2+BD^2$ ⇒ $5^2=AD^2+x^2$ ⇒ $AD^2=5^2-x^2$ ... (i) In $\triangle ADC$ $AC^2=AD^2+DC^2$ ⇒ $(\sqrt{41})^2=AD^2+(8-x)^2$ ⇒ $AD^2=41-(8-x)^2$ ... (ii) From (i) and (ii) $5^2-x^2=41-(8-x)^2$ ⇒ $25=-23+16x$ ⇒ $16x=48$ ⇒ $x=3$ From equation (i), $
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 28
Option 2: 35
Option 3: 42
Option 4: 49
Correct Answer: 35
Solution : Given:
The pattern can be observed running horizontally along the rows. First row→7 × 9 = 63 Second row→6 × 8 = 48 Similarly, follow the same pattern for the third row→5 × 7 = 35
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