Pihu has to do a multiplication. Instead of taking 32 as one of the multipliers, he took 23. As a result the product went down by 72. What is the sum of the digits of the new product? a) 15 b) 14 c) 13 d) 12 Sol: Number = y Decrease in number = 32y […]
Find the least square number which is divisible by 9, 12 and 14. a) 1771 b) 1764 c) 1752 d) 1746 Sol: LCM of 9, 12 and 14 = 252 252 = 2² × 3² × 7 For perfect square smallest number, multiply by 7 252 × 7 = 2² × 3² × 7 ×
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Two positive numbers differ by 3951. When the larger number is divided by the smaller number, the quotient is 12 and the remainder is 13. The sum of the digits of the larger number is: a) 12 b) 16 c) 18 d) 20 Sol: Two positive numbers differ by 3951 When larger number is divided
If Cos θ+ Sin θ = √2 Cos θ, find the value of (cos θ – sin θ) Sol: Shortcut Trick Formula Used: cos θ + sin θ = x, then cos θ – sin θ = √(2 – x2) Calculation: Using the above formula, we get ⇒ cos θ – sin θ = √{2 – (√2 cos θ)2} ⇒ cos θ – sin θ = √{2 – 2cos2 θ} ⇒ cos θ – sin θ = √2 (1 – cos2θ)
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Two tap P and Q can fill a tank in 15 and 25 minutes respectively both taps are opened together. When tank is filled 8/15 a leakage tap is opened. leakage tap’s efficiency is 1/4 of the net efficiency of taps P and Q together. In how much time tank will get filled. Sol:
If compound interest on a sum for two years at 16 2/3% p.a. is Rs. 318.5, the simple interest (in Rs.) on the same sum at the same rate for years of time is a) 350 b) 367.5 c) 318.5 d) 333.5 Sol:
Find the sum of all odd factor of 840. a) 182 b) 192 c) 162 d) 172 Sol: 840 = 2³ × 3 × 5 × 7 Sum of all odd factors of 840 = (20).(30+31).(50+51).(70+71) = 1 × 4 × 6 × 8 = 192
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Two numbers are in Ratio 3: 4 if 12 is subtract from each. The new numbers are in the Ratio 5:7. If 13 is added to first and 23 is added to the second number, then the ratio become. a) 5: 7 b) 3: 5 c) 7: 9 d) 29: 27 Sol:
What is the greatest positive integer that divides 554, 714 and 213 leaving the remainder 43, 57 and 67, respectively? a) 70 b) 73 c) 77 d) 75 Sol: Given: Integers 554, 714 and 213 Concept Used: HCF = Highest Common Factor Calculation: ⇒ According to the question, ⇒ If the integer leaves remainder 43, on
If a2+b2+1=2a, then the value of a4+b7 is: a) 0 b) 1 c) 2 d) 4 Sol:
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