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Question : The sum of 10 numbers is 686. What is their average?
Option 1: 67.5
Option 2: 65.5
Option 3: 68.6
Option 4: 66.6
Correct Answer: 68.6
Solution : The sum of 10 numbers is 686. $\therefore$ The average of these 10 numbers $=\frac{\text{Sum of all the observations}}{{\text{Total number of observations}}}=\frac{686}{10}= 68.6$ Hence, the correct answer is 68.6.
Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
She tries to adjust _____ her relations.
Option 1: at
Option 2: so
Option 3: with
Option 4: for
Correct Answer: with
Solution : The correct choice is the third option.
The preposition with is the correct choice in this sentence because it is used to indicate the manner in which someone adjusts or accommodates himself. In this case, with suggests that she is trying to adapt to her
Question : The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the product of the two given numbers?
Option 1: 160
Option 2: 240
Option 3: 200
Option 4: 320
Correct Answer: 240
Solution : Let the numbers be x and y. So, x3 – y3 = 6272 and (x – y) = 8 Cubing both sides of the given expression, (x – y) = 8, ⇒ (x – y)3 = 83 ⇒ x3 –
Question : Which of the following set of angles forms a triangle?
Option 1: 60°, 70°, 80°
Option 2: 60°, 70°, 30°
Option 3: 60°, 40°, 80°
Option 4: 60°, 50°, 80°
Correct Answer: 60°, 40°, 80°
Solution : The sum of all angles of the triangle should be 180°. From the above-given options, only option 2 satisfies the condition. Option 2: 60°, 40°, 80° Sum of angles = 60° + 40° + 80° = 180° Hence, the correct answer is 60°,
Question : Directions: In the evening, Amit and Asvini are sitting in a park with their backs facing each other's back. If the shadow of Amit falls to the right of Asvini, which side is Amit facing?
Option 1: West
Option 2: East
Option 3: North
Option 4: South
Correct Answer: South
Solution : In the evening, the Sun will be in the West direction and the shadow will fall in the East direction. So, according to the information, the diagram will be as follows –
Now, the direction and distance diagram according to the question is as
Question : Simplify the given expression: $\frac{\sin^2 32^{\circ}+\sin^2 58^{\circ}}{\cos^2 32^{\circ}+\cos^2 58^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin 37^{\circ}$
Option 1: 2
Option 2: –1
Option 3: –2
Option 4: 1
Correct Answer: 2
Solution : We know: $\sin (90^{\circ} -A) = \cos A$ and $\sin^2 A+\cos^2 A = 1$ $\frac{\sin^2 32^{\circ}+\sin^2 58^{\circ}}{\cos^2 32^{\circ}+\cos^2 58^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin 37^{\circ}$ = $\frac{\sin^2 32^{\circ}+\sin^2 (90-32)^{\circ}}{\cos^2 32^{\circ}+\cos ^2 (90-32)^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin (90-53)^{\circ}$ = $\frac{\sin^2 32^{\circ}+\cos^2 32^{\circ}}{\cos^2 32^{\circ}+\sin^2 32^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \cos 53^{\circ}$ =
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 8 – 11
Option 2: 1 – 4
Option 3: 7 – 10
Option 4: 3 – 5
Correct Answer: 3 – 5
Solution : Let's check the options – First option: 8 – 11→8 + 3 = 11 Second option: 1 – 4→1 + 3 = 4 Third option: 7 – 10→7 + 3 = 10 Fourth option: 3 – 5→3 + 3 = 6 ≠ 5
Question : Select the most appropriate option to fill in the blank. The actress is very _____ and takes pride in her appearance all the time.
Option 1: vein
Option 2: wane
Option 3: vane
Option 4: vain
Correct Answer: vain
Solution : The correct choice is the fourth option.
Explanation: Vain means having an excessively high opinion of oneself, especially regarding one's appearance.
In the context of the sentence, the actress is described as someone who takes pride in her appearance all the time, indicating excessive concern
Question : In a job, Z1, Z2, and Z3 work for 8,10 and 15 days, respectively. The ratio of the daily wages of Z1, Z2, and Z3 is 3 : 4 : 4. respectively. If they receive INR 4,960 as total wages for the work done, then what is the combined share of Z2 and Z3 in the total wages received?
Option 1: INR 4,800
Option 2: INR 4,000
Option 3: INR 4,400
Option 4: INR 4,200
Correct Answer: INR 4,000
Solution : The ratio of daily wages of Z1, Z2, and Z3 as W1, W2, and W3 respectively and ratio 3 : 4 : 4 Total wages Rs. 4960 The final ratio of their wages =
Question : Directions: In a certain code language, MOBILE is written as NQEMQK, and BISHOP is written as CKVLTV. How will CHARGE be written in that language?
Option 1: DJEVLJ
Option 2: DJDWLK
Option 3: DJDVLK
Option 4: DJDVKL
Correct Answer: DJDVLK
Solution : Given: MOBILE is written as NQEMQK, and BISHOP is written as CKVLTV.
Add 1, 2, 3, and so on in the positional value of each letter of MOBILE, to obtain the required code – M + 1 = N; O + 2 = Q; B
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