UP TET


1. Number System / āϏāĻ‚āĻ–ā§āϝāĻž āĻĒāĻĻā§āϧāϤāĻŋ


Q. What is the place value of 5 in 345678 ? āĻĒā§ā§°āĻļā§āύ: 345678 āϏāĻ‚āĻ–ā§āϝāĻžāĻŸā§‹ā§° 5-ā§° āĻ¸ā§āĻĨāĻžāύāĻŽāĻžāύ āĻ•āĻŋāĻŽāĻžāύ ?


(a) 5  (b) 50  (c) 500  (d) 5000


Ans / āωāĻ¤ā§āϤ⧰: (d) 5000


Explanation: In the number 345678, the digit 5 is in the thousands place. Therefore, Place Value = 5 × 1000 = 5000 (āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: 345678 āϏāĻ‚āĻ–ā§āϝāĻžāĻŸā§‹āϤ 5 āϏāĻ‚āĻ–ā§āϝāĻžāĻŸā§‹ āĻšāĻžāϜāĻžā§°ā§° āĻ¸ā§āĻĨāĻžāύāϤ āφāϛ⧇āĨ¤ āϏ⧇āϝāĻŧ⧇āĻšā§‡, āĻ¸ā§āĻĨāĻžāύāĻŽāĻžāύ = 5 × 1000 = 5000)


Place Value of 5 = 5000 / 5-ā§° āĻ¸ā§āĻĨāĻžāύāĻŽāĻžāύ = 5000.


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4. Simplification / āϏāϰāϞ⧀āϕ⧰āĻŖ


Q. What is the value of 48 ÷ 6 + 3 × 2 − 5 ?  (āĻĒā§ā§°āĻļā§āύ: 48 ÷ 6 + 3 × 2 − 5-ā§° āĻŽāĻžāύ āĻ•āĻŋāĻŽāĻžāύ ?)


(a) 9 | (b) 11 | (c) 13 | (d) 15


Ans / āωāĻ¤ā§āϤ⧰: (c) 9


Explanation: Using the BODMAS rule: (BODMAS āύāĻŋāϝāĻŧāĻŽ āĻ…āύ⧁āϏ⧰āĻŋ āĻĒā§ā§°āĻĨāĻŽā§‡ āĻ­āĻžāĻ— āφ⧰⧁ āϗ⧁āĻŖ āϕ⧰āĻŋāĻŦ āϞāĻžāϗ⧇āĨ¤)


48 ÷ 6 + 3 × 2 − 5 = 8 + 6 − 5 = 14 − 5 = 9


Ans / āωāĻ¤ā§āϤ⧰: (a) 9.


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7. Simple Interest / āϏ⧰āϞ āϏ⧁āϤ


Q. â‚š240 simple interest is earned on ₹1500 in 2 years. What is the annual rate of interest ? (āĻĒā§ā§°āĻļā§āύ: ₹1500 āϟāĻ•āĻžā§° āĻ“āĻĒā§°āϤ 2 āĻŦāϛ⧰āϤ ₹240 āϏ⧰āϞ āϏ⧁āϤ āĻĒā§‹ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤ āĻŦāĻžā§°ā§āώāĻŋāĻ• āϏ⧁āϤ⧰ āĻšāĻžā§° āĻ•āĻŋāĻŽāĻžāύ ?)


(a) 6% | (b) 7% | (c) 8% | (d) 9%


Ans / āωāĻ¤ā§āϤ⧰: (c) 8%


Explanation:


Formula of Simple Interest: SI = (P × R × T) / 100


Given: SI = ₹240, P = ₹1500, T = 2 years


240 = 1500 × R × 2 / 100


240 = 30R 


R = 240/30 = 8


Therefore, Rate of Interest = 8% per annum.