The single discount equal to three consecutive discounts of 10%, 12% and 5%? (a) 37% (b) 24.76% (c) 22.14% (d) 32% Sol: (1238/5000)x100= 24.76%
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A and B started a business by investing Rs. 36000 and Rs. 45000 respectively. After 4 months B withdrawals 4/9 of his investment. After 5 months from the withdrawal, B again invested 11/9 of its original investment. If the total earned profit at the end of the year is Rs. 117240, then who will get
Piyush has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5:4. After he lost 15 red marbles, the ratio becomes 10: 9. How many marbles does he have now? (a) 76 (b) 152 (c) 228 (d) 102 Sol: =228
Neeraj buys a bike on making a cashdown payment of Rs. 17,496 and promises to pay two more yearly installments of equivalent amount in next two years. If the rate of interest is 8% per annum compounded yearly, the cash value of the bike is (in Rs.): (a) Rs. 45,676 (b) Rs. 48,696 (c) Rs.
On a television of brand A, the discount is 25% and on television of brand B the discount is 40%. The price of B after discount is Rs. 10,650 greater than the price of A after discount. What is the marked price of A(in Rs.) marked price of B is Rs. 65,000? (a) Rs. 35,800
The ratio of the income of A and B last year was 4: 3 respectively. The ratios of their individual incomes of the last year and the present year are 3: 4 and 5: 6 respectively. If their total income for the present year is Rs. 12.06 lakhs, then the income of B last year
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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