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Question : At least two pairs of consecutive angles are congruent in a ______.
Option 1: parallelogram
Option 2: isosceles trapezium
Option 3: rhombus
Option 4: kite
Correct Answer: isosceles trapezium
Solution : In an isosceles trapezium, the two non-parallel sides are equal and at least two pairs of consecutive angles are congruent. Hence, the correct answer is isosceles trapezium.
Question : Mohit and Rohit undertook a work for Rs. 2200. Mohit alone can do that work in 10 days and Rohit alone can do the same work in 12 days. If they work together, then what will be the difference in the amount they receive?
Option 1: Rs. 500
Option 2: Rs. 200
Option 3: Rs. 600
Option 4: Rs. 400
Correct Answer: Rs. 200
Solution : Let the efficiency of Mohit and Rohit be $M$ and $R$, respectively. ⇒ $\frac{M}{R}=\frac{\text{time taken by Rohit}}{\text{time taken by Mohit}}$ ⇒ $\frac{M}{R}=\frac{12}{10}=\frac{6}{5}$ So, Rs. 2200 will be divided in the ratio of 6 : 5. $\therefore$ Share of Mohit $=\frac{6}{6+5}×2200$ = Rs. 1200 So,
Question : Direction: The bar graph shows average marks scored in a 100-mark Science exam by students of 7 divisions of Standard X. Study the diagram and answer the following question. Marks of Division F were lesser than those of Division C by:
Option 1: 35%
Option 2: 47.25%
Option 3: 45%
Option 4: 43.75%
Correct Answer: 43.75%
Solution : Marks of division F = 45 Marks of Division C = 80 Difference = 80 – 45 = 35 So, the required percentage = $\frac{35}{80}\times100$ = 43.75% Hence, the correct answer is 43.75%.
Question : An article was sold for INR 716 after offering a discount of 10.5%. If a discount of 6.5% is given, then for how much (in INR) should it be sold?
Option 1: 748
Option 2: 732
Option 3: 675
Option 4: 756
Correct Answer: 748
Solution : An article was sold = INR 716 Discount = 10.5% Let the marked price be $x$. Selling Price = $\text{Marked Price}×\frac{(100 - \text{Discount%})}{100}$ ⇒ $716 = x×\frac{(100-10.5)}{100}$ ⇒ $716 = x×\frac{89.5}{100}$ ⇒ $x = \frac{716\times100}{89.5}$ $\therefore x =$ INR 800 At a discount of 6.5%,
Question : Mohan purchased trousers for INR 765 after a discount of 15% was offered on its marked price. What is the marked price (in INR) of the trousers?
Option 1: 885
Option 2: 855
Option 3: 900
Option 4: 870
Correct Answer: 900
Solution : The marked price (MP) = Selling price (SP) × $\frac{100}{(100-\text{discount percentage})}$ The trousers were purchased for INR 765 after a 15% discount, which means that INR 765 is 85% of the marked price (MP) (because 100% – 15% = 85%). MP = 765 × $\frac{100}{85}$
Question : The simple interest on Rs. 800 for 6 years at 5.5% per annum is equal to the simple interest on Rs. 600 at 4% per annum for a certain period. The period is:
Option 1: 11 years
Option 2: 9 years
Option 3: 12 years
Option 4: 10 years
Correct Answer: 11 years
Solution : Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ Simple interest on Rs. 800 for 6 years at 5.5% per annum = $\frac{800 \times 5.5 \times 6}{100} =$ Rs. 264 Simple interest on Rs. 600 at 4 % per annum for a period T =
Question : 1 packet of biscuits costs Rs. 16, but a pack of 4 of the same packet of biscuits costs Rs. 56. What is the effective discount (in percent) on the pack?
Option 1: 8
Option 2: 10
Option 3: 7.5
Option 4: 12.5
Correct Answer: 12.5
Solution : Marked price of 1 packet of biscuits = Rs. 16 Marked price of 4 packets of biscuits = Rs. 16 × 4 = Rs. 64 The selling price of a pack of 4 packets of biscuits = Rs. 56 Discount % = $\frac{\text{Effective discount}}{\text{Actual Marked
Question : Directions: Among five friends, Vivek is older than Akram. Sumit is elder than Dara. Manjeet is younger than Dara. Two persons are older than Sumit. Who is the eldest among those friends?
Option 1: Vivek
Option 2: Either Akram or Vivek
Option 3: Akram
Option 4: Dara
Correct Answer: Vivek
Solution : Given: I. Vivek is older than Akram. Vivek > Akram II. Sumit is elder than Dara. Manjeet is younger than Dara. Sumit > Dara > Manjeet III. Two persons are older than Sumit. After combining all the statements, the order is – Vivek > Akram
Question : Directions: Four sets of numbers are given out of which three are alike in a certain way and one is different. Select the set of numbers that is different from the rest.
Option 1: 5 – 25 – 225
Option 2: 6 – 36 – 216
Option 3: 9 – 81 – 729
Option 4: 3 – 9 – 27
Correct Answer: 5 – 25 – 225
Solution : Let's check each option – First option: 5 – 25 – 225; (5)2 = 25; (5)3 = 125 ≠ 225 Second option: 6 – 36 – 216; (6)2 = 36; (6)3 = 216 Third option: 9 –
Question : Which of the following is an institutional source of credit in India?
Option 1: Money lenders
Option 2: Commission agents
Option 3: Traders
Option 4: Commercial banks
Correct Answer: Commercial banks
Solution : The correct option is Commercial Bank.
A major portion of credit extended to consumers, companies, and other economic sectors is handled by commercial banks. They receive deposits from the general public and lend this money to borrowers for a range of financial services,
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