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Question : If p + q = 12 and pq = 14, then find the value of p2 – pq + q2.
Option 1: 192
Option 2: 181
Option 3: 102
Option 4: 144
Correct Answer: 102
Solution : Given: $p + q = 12$ and $pq = 14$ Squaring both sides, we get, $(p + q)^2 = 12^2$ ⇒ $p^2 + 2pq + q^2=144$ ⇒ $p^2 + 2\times14 + q^2=144$ ⇒ $p^2 + q^2 =144- 28$ ⇒ $p^2 + q^2 =116$ $\therefore p^2+q^2-pq=116-14=102$
Question : Directions: Which of the given figures when placed in the 5th position would continue the series that is established by the first four figures?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series – 1. Two elements shift by one position in the clockwise direction. 2. The element (+) shifts by one position in the anticlockwise direction. So, following the above pattern, the missing figure is –
Hence, the first option is correct.
Question : Blowing air with open pipe is an example of:
Option 1: Isothermal process
Option 2: Isochronic process
Option 3: Isobaric process
Option 4: Adiabatic process
Correct Answer: Isobaric process
Solution : The correct option is the Isobaric process.
When air is blown through an open pipe, it represents an isobaric process. This is because the open end maintains an equal pressure inside and outside, which ensures constant pressure. Although the volume changes as the
Question : Cheetahs brought from Namibia were introduced in the Kuno National Park located in _____________.
Option 1: Karnataka
Option 2: Madhya Pradesh
Option 3: Gujarat
Option 4: Rajasthan
Correct Answer: Madhya Pradesh
Solution : The correct option is Madhya Pradesh.
Cheetahs from Namibia were reintroduced to Kuno National Park in Madhya Pradesh, India, as part of a conservation effort to restore the cheetah population in India after nearly 70 years of extinction in the wild. The first
Question : Direction: In the given question, select the related letters from the given alternatives.
YAWC : UESG :: QIOK : ?
Option 1: MMKO
Option 2: KOME
Option 3: MINC
Option 4: MIKE
Correct Answer: MMKO
Solution : Given:
Like, Y – 4 = U; A + 4 = E; W – 4 = S; C + 4 = G
Similarly, Q – 4 = M; I + 4 = M;
Question : Where in India was the first French factory established?
Option 1: Surat
Option 2: Pondicherry
Option 3: Chandannagar
Option 4: Machilipatnam
Correct Answer: Surat
Solution : The correct option is Surat.
The French opened their first factory in Surat in 1668, and they opened another one in Machilipatnam the next year. Surat was an immensely important port city along the western coast during the 17th century. It was known for its
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 350
Option 2: 530
Option 3: 529
Option 4: 550
Correct Answer: 530
The pattern can be observed running vertically down the columns – Column 1: (4)2 + 3 = 16 + 3 = 19 Column 2: (18)2 + 6 = 324 + 6 = 330 Column 3: (23)2 + 1 = 529 +
Question : The following table gives the number of students who went abroad during 1994-1998 From which state U.T. did the least number of students go abroad over the years among the given States U.T.s
Option 1: Maharashtra
Option 2: Karnataka
Option 3: Kerala
Option 4: West Bengal
Correct Answer: West Bengal
Solution : Let's calculate the number of students who went abroad, state-wise Maharashtra = 723 + 840 + 900 + 920 + 925 = 4308 Kerala = 1035 + 940 + 1200 + 1400 + 1500 = 6075 Karnataka = 750 + 600 + 830 +
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.) (60, 5, 6) (48, 8, 3)
Option 1: (17, 3, 4)
Option 2: (25, 4, 6)
Option 3: (24, 4, 3)
Option 4: (25, 4, 3)
Correct Answer: (24, 4, 3)
Solution : Given: (60, 5, 6); (48, 8, 3)
Divide the first number by the third number, and then divide the resultant by 2 to find the second number. Like, (60, 5, 6)→60 ÷ 6 = 10; 10 ÷ 2 = 5 And, (48, 8,
Question : Directions: If A stands for ÷, B stands for ×, C stands for + and D stands for –, what will come in place of the question mark (?) in the following equation? 3 B 27 D 5 C 7 A 7 = ?
Option 1: 57
Option 2: 87
Option 3: 77
Option 4: 67
Correct Answer: 77
Solution : Given: A stands for ÷, B stands for ×, C stands for + and D stands for – 3 B 27 D 5 C 7 A 7 = ?
On replacing the alphabet with the mathematical signs according to the instructions given, we get –
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