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Question : Find the area of the rhombus whose diagonals are 16 cm and 20 cm.
Option 1: 110 cm2
Option 2: 150 cm2
Option 3: 160 cm2
Option 4: 120 cm2
Correct Answer: 160 cm2
Solution : $D_1$ = 16 cm $D_1$ = 20 cm Area of rhombus = $\frac{1}{2}D_1D_2=\frac{1}{2}×16×20=160\;cm^2$ Hence, the correct answer is 160 cm2.
Question : An article was sold for INR 98,496 after providing three successive discounts of 10%, 5%, and 4% respectively on the marked price. What was the marked price?
Option 1: INR 1,20,000
Option 2: INR 1,10,700
Option 3: INR 1,20,200
Option 4: INR 1,20,500
Correct Answer: INR 1,20,000
Solution : For three successive discounts of 10%, 5%, and 4%, Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×\frac{100-\text{Discount}_3\%}{100}×$ marked price $⇒ 98496=\frac{100-10}{100}×\frac{100-5}{100}×\frac{100-4}{100}×$ marked price $⇒ 98496=\frac{90}{100}×\frac{95}{100}×\frac{96}{100}×$ marked price $\therefore$ Mrked price $= 120000$ Hence, the correct answer is INR 1,20,000.
Question : A boy increases his speed to $\frac{9}{5}$th times of his original speed. By doing this, he reaches his school 40 minutes before the usual time. How much time (in minutes) does he usually take?
Option 1: 120
Option 2: 30
Option 3: 90
Option 4: 45
Correct Answer: 90
Solution : Let the speed of the boy be $x$ km/hr. Initial time = $t$ So, distance = $tx$ New time = $t-40$ New speed = $x × (\frac{9}{5})=\frac{9x}{5}$ According to the question, $tx=(t-40)\frac{9x}{5}$ $⇒5t=9t-360$ $⇒ 4t=360$ $\therefore t =90$ minutes Hence, the correct answer is 90.
Question : A class has five sections that have 25, 30, 40, 45, and 60 students, respectively. The pass percentages of these sections are 20%, 30%, 35%, 40%, and 100% respectively. The pass percentage of the entire class is:
Option 1: 87%
Option 2: 63%
Option 3: 53%
Option 4: 79%
Correct Answer: 53%
Solution : Total number of students = 25 + 30 + 40 + 45 + 60 = 200 Number of students pass in Section A = 25 × $\frac{20}{100}$ = 5 The number of students passed in Section B = 30 × $\frac{30}{100}$ = 9 The number
Question : Directions: When a number X is added to the double of its cube, the number 1467 is obtained. Find the value of X.
Option 1: 6
Option 2: 9
Option 3: 7
Option 4: 8
Correct Answer: 9
Solution : Let the number be X X + 2(X)3 = 1467
Let's check each option – First option: 6; 6 + 2 × (6)3 = 6 + 2 × 216 6 + 432 = 438 438 ≠ 1467 Second option: 9; 9 + 2
Question : Select the most appropriate ANTONYM of the underlined word. The reputed officer was removed from his post as he was having a clandestine affair.
Option 1: Surreptitious
Option 2: Overt
Option 3: Amorous
Option 4: Casual
Correct Answer: Overt
Solution : The second option is correct.
Clandestine means secret or done in a concealed or hidden manner, and overt, on the other hand, means done openly or without any attempt at concealment.
The sentence mentions the officer being removed due to a clandestine affair, indicating
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Fresh pineapple, chilled watermelon, and an icy cold soft drink on a hot summer's day. What do these things have in (1)_____? They all taste so good because of the sweetness the sugar in them provides. When you think of sugar, you probably picture the white (2)_____ you put in cookies, that your parents put in their coffee, or that you (3)_____ on your cereal. Actually, this is just one kind of sugar, called sucrose, which is (4)______ from sugar cane or sugar beets. Technically, sugar is a carbohydrate that occurs (5)_____ in every fruit and vegetable.
Select the most appropriate option to fill in the blank number (1).
Option 1: tandem
Option 2: common
Option 3: collision
Option 4: balance
Correct Answer: common
Solution : The correct answer is the second option.
The word "common" is suitable in the blank because it indicates a shared characteristic or quality among fresh pineapple, chilled watermelon, and an icy cold soft drink on a hot summer's day.
Therefore, the correct answer is common.
Question : Directions: Seven girls Mansi, Shweta, Monika, Payal, Aarti, Kajal and Laxmi are sitting around a circular table facing opposite the centre (not necessarily in the same order). Kajal is second to the left of Laxmi. Payal is the immediate neighbour of both Mansi and Laxmi. Monika is not the immediate neighbour of Laxmi. Aarti is second to the left of Kajal. Who is sitting second to the left of Payal?
Option 1: Aarti
Option 2: Laxmi
Option 3: Kajal
Option 4: Shweta
Correct Answer: Shweta
Solution : Given: 1. Kajal is second to the left of Laxmi. 2. Payal is the immediate neighbour of both Mansi and Laxmi. 3. Monika is not the immediate neighbour of Laxmi. 4. Aarti is second to the left of Kajal.
From the above-given information, the following
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 5
Option 2: 2
Option 3: 3
Option 4: 1
Correct Answer: 3
Solution : Given:
The pattern followed is as follows – In the first part; 2 + 3 + 1 = 6; 4 + 3 + 2 = 9→9 – 6 = 3 In
Question : The perpendicular distance from the centre of a circle to the chord is 20 cm. Calculate the chord's length in centimetres if the circle's diameter is 58 cm.
Option 1: 42
Option 2: 21
Option 3: 56
Option 4: 28
Correct Answer: 42
Solution : Given: Diameter, AB = $58$ cm So, Radius = $\frac{58}{2}=29$ cm CD is the chord. Its distance from the centre, ON is $20$ cm. CD = $2$ × CN Join OC. OC is the radius. From $\triangle$OCN, OC2 = ON2 + CN2
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