General Intelligence and Reasoning 01 Swipe →
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02 Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 25 * 2 * 220 * 11 * 43
A +, −, ×, = B +, −, ÷, = C +, +, ÷, = D −, +, ÷, =
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04
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05 Select the correct combination of mathematical signs to sequentially replace the # signs and to balance the given equation. [{(44 # 38) # (2 # 5)} # (4 # 2)] # 5 # 10
A ×, ÷, ×, ×, −, +, = B ×, ̶ , +, ×, ÷, ×, = C ̶ , +, ×, ×, ÷, ×, = D ̶ , +, ×, ÷, ×, ×, =
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08 Swipe →
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10 Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed) (7, 4, 56) (8, 3, 48)
A (90, 3, 400) B (87, 4, 128) C (96, 42, 12) D (9, 10, 180)
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15 Swipe →
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23 Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed) (9, 16, 5) (7, 9, 4)
A (14, 64, 7) B (14, 100, 5) C (11, 36, 5) D (12, 66, 4)
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General Awareness Quantitative Aptitude 02 The sum of two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?
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04 The diagonal of the square is 8√2 cm. Find the diagonal of another square whose area is triple that of the first square.
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06 Find the value of tan 3θ if sec 3θ = cosec (4θ - 15˚).
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10 Swipe →
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12 ΔPQR is an isosceles triangle and PQ = PR = 2a unit, QR = a unit. Draw PX ⊥ QR, and find the length of PX.
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13
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14 Swipe →
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20 What is the value of cos2 15°?
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22 In a race, there are 4 members in a team. Each member has to cover 5 km one after another. If the total time taken is 30 minutes, then what would have been the average speed?
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English Comprehension Passage For questions 21–25 In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Human migration may be traced all the way back to the (1)________ of time, and humans have been on the move ever since. Climate change, war and displacement, economic considerations, living conditions, family and clan (2)________, and, more recently, educational possibilities are all reasons for migration. Because there are several reasons for migration, migration patterns are (3)_________. Potential migrants will not only (4)_________ whether or not to migrate, but also where they will go. Individuals with (5) ________ observed and unobserved features will make diverse decisions and self-select into specific areas.