UP TET
1. Number System / āϏāĻāĻā§āϝāĻž āĻĒāĻĻā§āϧāϤāĻŋ
Q. What is the place value of 5 in 345678 ? āĻĒā§ā§°āĻļā§āύ: 345678 āϏāĻāĻā§āϝāĻžāĻā§ā§° 5-ā§° āϏā§āĻĨāĻžāύāĻŽāĻžāύ āĻāĻŋāĻŽāĻžāύ ?
(a) 5 (b) 50 (c) 500 (d) 5000
Ans / āĻāϤā§āϤ⧰: (d) 5000
Explanation: In the number 345678, the digit 5 is in the thousands place. Therefore, Place Value = 5 × 1000 = 5000 (āĻŦā§āϝāĻžāĻā§āϝāĻž: 345678 āϏāĻāĻā§āϝāĻžāĻā§āϤ 5 āϏāĻāĻā§āϝāĻžāĻā§ āĻšāĻžāĻāĻžā§°ā§° āϏā§āĻĨāĻžāύāϤ āĻāĻā§āĨ¤ āϏā§āϝāĻŧā§āĻšā§, āϏā§āĻĨāĻžāύāĻŽāĻžāύ = 5 × 1000 = 5000)
Place Value of 5 = 5000 / 5-ā§° āϏā§āĻĨāĻžāύāĻŽāĻžāύ = 5000.
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4. Simplification / āϏāϰāϞā§āĻā§°āĻŖ
Q. What is the value of 48 ÷ 6 + 3 × 2 − 5 ? (āĻĒā§ā§°āĻļā§āύ: 48 ÷ 6 + 3 × 2 − 5-ā§° āĻŽāĻžāύ āĻāĻŋāĻŽāĻžāύ ?)
(a) 9 | (b) 11 | (c) 13 | (d) 15
Ans / āĻāϤā§āϤ⧰: (c) 9
Explanation: Using the BODMAS rule: (BODMAS āύāĻŋāϝāĻŧāĻŽ āĻ āύā§āϏ⧰āĻŋ āĻĒā§ā§°āĻĨāĻŽā§ āĻāĻžāĻ āĻā§°ā§ āĻā§āĻŖ āĻā§°āĻŋāĻŦ āϞāĻžāĻā§āĨ¤)
48 ÷ 6 + 3 × 2 − 5 = 8 + 6 − 5 = 14 − 5 = 9
Ans / āĻāϤā§āϤ⧰: (a) 9.
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7. Simple Interest / āϏ⧰āϞ āϏā§āϤ
Q. âš240 simple interest is earned on âš1500 in 2 years. What is the annual rate of interest ? (āĻĒā§ā§°āĻļā§āύ: âš1500 āĻāĻāĻžā§° āĻāĻĒā§°āϤ 2 āĻŦāĻā§°āϤ âš240 āϏ⧰āϞ āϏā§āϤ āĻĒā§ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤ āĻŦāĻžā§°ā§āώāĻŋāĻ āϏā§āϤ⧰ āĻšāĻžā§° āĻāĻŋāĻŽāĻžāύ ?)
(a) 6% | (b) 7% | (c) 8% | (d) 9%
Ans / āĻāϤā§āϤ⧰: (c) 8%
Explanation:
Formula of Simple Interest: SI = (P × R × T) / 100
Given: SI = âš240, P = âš1500, T = 2 years
240 = 1500 × R × 2 / 100
240 = 30R
R = 240/30 = 8
Therefore, Rate of Interest = 8% per annum.