Birla Institute of Technology and Science Admission Test
Question : The value of $\frac{4 \tan ^2 30^{\circ}+\sin ^2 30^{\circ} \cos ^2 45^{\circ}+\sec ^2 48^{\circ}-\cot ^2 42^{\circ}}{\cos 37^{\circ} \sin 53^{\circ}+\sin 37^{\circ} \cos 53^{\circ}+\tan 18^{\circ} \tan 72^{\circ}}$ is:
Option 1: $\frac{35}{48}$
Option 2: $\frac{59}{48}$
Option 3: $\frac{49}{24}$
Option 4: $\frac{35}{24}$
Correct Answer: $\frac{59}{48}$
Solution : Given: $\frac{4 \tan ^2 30^{\circ}+\sin ^2 30^{\circ} \cos ^2 45^{\circ}+\sec ^2 48^{\circ}-\cot ^2 42^{\circ}}{\cos 37^{\circ} \sin 53^{\circ}+\sin 37^{\circ} \cos 53^{\circ}+\tan 18^{\circ} \tan 72^{\circ}}$ We know that $\tan 30^{\circ} = \frac{1}{\sqrt{3}}$ $\sin 30^{\circ} = \frac{1}{2}$ $\cos 45^{\circ} = \frac{1}{\sqrt{2}}$ $\cos 37^{\circ} = \cos (90^{\circ} - 53^{\circ})
Question : Directions: A + B means A is the son of B A – B means A is the husband of B A × B means A is the wife of B A ÷ B means A is the brother of B Hence, if we consider K ÷ Q × M + R × D + H – L, then how is L related to M?
Option 1: Maternal grandmother
Option 2: Paternal grandmother
Option 3: Mother-in-law
Option 4: Maternal grandfather
Correct Answer: Paternal grandmother
Solution : Given: A + B means A is the son of B A – B means A is the husband of B A × B means A is the wife of B A ÷ B means A is the brother of B
As per the
Question : Directions: Ajay, Priti, Rakesh, Mehak, Saloni, and Yogesh are sitting in a row facing north. Saloni and Yogesh are sitting in the centre. Ajay and Priti are at the ends. Rakesh is sitting to the immediate left of Ajay. Who is sitting to the immediate right of Priti?
Option 1: Yogesh
Option 2: Saloni
Option 3: Mehak
Option 4: Rakesh
Correct Answer: Mehak
Solution : Given: (I) Ajay, Priti, Rakesh, Mehak, Saloni, and Yogesh are sitting in a row facing north. North facing row; Left end;_, _, _, _, _; Right end (II) Saloni and Yogesh are sitting in the centre. _, _, Saloni, Yogesh, _, _ (III) Ajay and
Question : The quantity demanded of a good decreases from 400 units to 300 units when the price increases from INR 20 to INR 30 per unit. Calculate the price elasticity of demand.
Option 1: -0.5
Option 2: -1.0
Option 3: -1.5
Option 4: -2.0
Correct Answer: -1.0
Solution : The correct answer is (b) -1.0.
Percentage change in quantity demanded = (300 - 400) / 400 * 100% = -25%
Percentage change in price = (30 - 20) / 20 * 100% = 50%
Price elasticity of demand = -25 / 50 = -1.0
Question : Which one of the following rivers of india does not make delta ?
Option 1: Ganges
Option 2: Godavari
Option 3: Mahanadi
Option 4: Tapti
Correct Answer: Tapti
Solution : The correct option is Tapti.
The Tapti River does not form a delta before it falls into the Arabian Sea. Unlike rivers like the Ganges, Mahanadi and Godavari, which form extensive deltas as they reach the coast, the Tapti flows directly into the Arabian Sea
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.
I had only my class notes for which I had to prepare for my examination.
Option 1: from whom I had to
Option 2: No substitution required
Option 3: with which I had to
Option 4: in which I have to
Correct Answer: with which I had to
Solution : The correct choice is the third option.
The preposition "for" should be replaced with, "with" as it helps make a prepositional phrase where "with" is the preposition, followed by the relative pronoun "which". The intended meaning is that she only
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 92, 99, 106, 113, 120, ?
Option 1: 117
Option 2: 127
Option 3: 213
Option 4: 217
Correct Answer: 127
Solution : Given: 92, 99, 106, 113, 120, ?
The pattern is as follows – 92 + 7 = 99; 99 + 7 = 106; 106 + 7 = 113; 113 + 7 = 120; 120 + 7 = 127
So, the missing number of the series
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