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Question : What is the digit in the unit's place in the number $\frac{15!}{100}$?
Option 1: 5
Option 2: 7
Option 3: 3
Option 4: 0
Correct Answer: 0
Solution : Number of trailing zeroes in $n$! = [$\frac{n}{5}$] + [$\frac{n}{25}$] + [$\frac{n}{125}$] + ....... where [ ] denotes greatest integer function. So, the number of trailing zeroes in 15! = [$\frac{15}{5}$] + [$\frac{15}{25}$] + [$\frac{15}{125}$] + ....... = 3 + 0 + 0 + .....
Question : Identify the freedom fighter who, as a child, hated going to school and found it suffocating and oppressive.
Option 1: Mahatma Gandhi
Option 2: Jawaharlal Nehru
Option 3: Jyotiba Phule
Option 4: Rabindranath Tagore
Correct Answer: Rabindranath Tagore
Solution : The correct option is Rabindranath Tagore.
Rabindra Nath Tagore was a Bengali poet who hated going to school. He got the Nobel Prize in 1913 for his work on Gitanjali. This makes him the first non-European to receive the award. He wrote a
Question : ph value between 6.5 -7.5 makes soil
Option 1: Basic
Option 2: Neutral
Option 3: Acidic
Option 4: none of these
Correct Answer: none of these
Solution : The correct answer is None of these.
pH value of 7 is neutral soultion, less than 7 is acidic and more than 7 is basic. So pH value from 6.5 to 7.5 ranges from acidic, neutal and a little basic. Ideally soil has
Question : The 3rd and 8th terms of an Arithmetic progression are –14 and 1, respectively. What is the 11th term?
Option 1: 14
Option 2: 16
Option 3: 20
Option 4: 10
Correct Answer: 10
Solution : Given: The 3rd and 8th terms of an Arithmetic progression are –14 and 1. Formula for $n^{th}$ term ⇒ $a +(n-1)d$, where $a$ = 1st term, $d$ = common difference and $n$ = number of terms $3^{rd}$ term ⇒ $a +(3-1)d=–14$ ⇒
Question : Two chords $\mathrm{AB}$ and $\mathrm{CD}$ of a circle with centre $\mathrm{O}$, intersect each other at $\mathrm{P}$. If $\angle\mathrm{ AOD}=100^{\circ}$ and $\angle \mathrm{BOC}=70^{\circ}$, then the value of $\angle \mathrm{APC}$ is:
Option 1: $80^{\circ}$
Option 2: $75^{\circ}$
Option 3: $85^{\circ}$
Option 4: $95^{\circ}$
Correct Answer: $95^{\circ}$
Solution :
In the given problem, $\angle \mathrm{AOD}$ and $\angle \mathrm{BOC}$ are angles subtended by the chords $\mathrm{AB}$ and $\mathrm{CD}$ at the centre of the circle. The angle subtended by a chord at the centre is twice the angle subtended by it at any point on the
Question : If $\tan A=\frac{2}{3}$, then find $\sin A$.
Option 1: $\frac{1}{3}$
Option 2: $\frac{2}{\sqrt{13}}$
Option 3: $\frac{2}{3}$
Option 4: $\frac{3}{\sqrt{13}}$
Correct Answer: $\frac{2}{\sqrt{13}}$
Solution : Given, $\tan A=\frac{2}{3}$ Let perpendicular and base be 2 and 3 units. Now, the hypotenuse $= \sqrt{2^2+3^2} = \sqrt{13}$ units So, $\sin A = \frac{\text{perpendicular}}{\text{hypotenuse}}=\frac{2}{\sqrt{13}}$ Hence, the correct answer is $\frac{2}{\sqrt{13}}$.
Question : Directions: 6 boys, J, K, L, M, N, and P, are sitting around a rectangular table facing towards the centre (not necessarily in the same order). 4 boys are sitting in the corners, and 1 boy is sitting in the middle of each shorter side of the table. N is second to the right of K and second to the left of J. M is exactly opposite to N, and M is not sitting in the corner. Which of the following statements is definitely correct? I. L and P are both next to N. II. K is diagonally opposite to L.
Option 1: Only II is correct
Option 2: Neither I nor II is correct
Option 3: Both I and II are correct
Option 4: Only I is correct
Correct Answer: Only I is correct
Solution : Given: (I) N is second to the right of K and second to the left of J. M is exactly opposite to N, and M is not sitting in the corner. According to the given statements – I. L and P are
Question : Directions: Choose the correct figure to complete the figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here the pattern is as follows – 1. In the first row number of triangles increases by one. 2. In the second row number of squares increases by one. 3. In the third row number of circles increases by one. So, the figure in the third
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 119
Option 2: 85
Option 3: 51
Option 4: 154
Correct Answer: 154
Solution : Let's check the options – First option: 119; 119 ÷ 17 = 7 Second option: 85; 85 ÷ 17 = 5 Third option: 51; 51 ÷ 17 = 3 Fourth option: 154; 154 is not divisible by 17
So, only the fourth option is different
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
The (needs) of the hour was to reform the entire banking system.
(1) need
(2) needing
(3) needings
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The first option is the correct choice.
Explanation: The phrase "needs of the hour" should be replaced with "need of the hour", which is the right form of the idiom, meaning the most important thing at a particular interval, thereby indicating that there was
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