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Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? $\left [ \frac{1}{176} \right ],\left [ \frac{1}{88} \right ],?,\left [ \frac{1}{22} \right ],\left [ \frac{1}{11} \right ]$
Option 1: $\left[\frac{1}{32}\right]$
Option 2: $\left\lceil\frac{1}{44}\right]$
Option 3: $\left\lceil\frac{1}{48}\right]$
Option 4: $\left\lceil\frac{1}{42}\right]$
Correct Answer: $\left\lceil\frac{1}{44}\right]$
Solution : Given: $\left[\frac{1}{176}\right],\left[\frac{1}{88}\right], ?,\left[\frac{1}{22}\right],\left[\frac{1}{11}\right]$
In the above-given series, the numerator will remain the same and the denominator will be divided by 2. $\left[\frac{1}{176}\right]$; 176 ÷ 2 = 88; $\left[\frac{1}{88}\right]$ $\left[\frac{1}{88}\right]$; 88 ÷ 2 = 44; $\left[\frac{1}{44}\right]$ $\left[\frac{1}{44}\right]$; 44 ÷ 2 = 22; $\left[\frac{1}{22}\right]$ $\left[\frac{1}{22}\right]$; 22 ÷
Question : The following bar graph shows the number of theses submitted in six months.
The total submission of the theses on April 21, May 21, and June 21 is what percentage of the total submission of the theses on July 21, August 21, and Sept 21? (Rounded off to two decimal places).
Option 1: 85.17%
Option 2: 79.12%
Option 3: 70.21%
Option 4: 102.34%
Correct Answer: 85.17%
Solution : The total submission of the theses on April 21, May 21, and June 21 = 4673 + 3796 + 4151 = 12620 The total submission of the theses on July 21, August 21, and Sept 21 = 3844 + 4412 + 6562 = 14818 Required
Question : What is the rate of interest per annum for simple interest at which Rs. 880 amounts to Rs. 913 in $1 \frac{1}{2}$ years?
Option 1: $2 \frac{2}{3}$%
Option 2: $2 \frac{1}{4}$%
Option 3: $2 \frac{1}{2}$%
Option 4: $2 \frac{1}{3}$%
Correct Answer: $2 \frac{1}{2}$%
Solution : Given: Principal amount, $P$ = Rs. 880 Time, $t$ = 1.5 years Simple interest = Rs. (913 – 880) = Rs. 33 Let the rate of interest be $r$% per annum. Now, SI = $\frac{Prt}{100}$ ⇒ 33 = $\frac{880\times r\times 1.5}{100}$ ⇒ $r=\frac{33\times 100}{880\times
Question : Directions: In the given figure, how many are musical toys?
Option 1: 53
Option 2: 61
Option 3: 42
Option 4: 45
Correct Answer: 42
Solution : In the diagram, the shaded part represents the region common between musicals and toys. The numbers of the asked fields that fall in the region of electronic will also be counted as there is no direction given that the region belonging to electronic can not
Question : A circle of radius 4 cm is drawn in a right-angle triangle ABC, right-angled at C. If AC = 12 cm, then the value of CB is:
Option 1: 8 cm
Option 2: 12 cm
Option 3: 20 cm
Option 4: 16 cm
Correct Answer: 16 cm
Solution : OX = OY = 4 cm CY = OX = 4 cm and CX = OY = 4 cm CX = CY = 4 cm Now, AC = 12 cm AX = 12 – 4 = 8 cm We know that tangents from external
Question : The award given for outstanding performance in sports is
Option 1: Dronacharya Award
Option 2: Bharat Ratna
Option 3: Padma Shri Award
Option 4: Arjuna Award
Correct Answer: Arjuna Award
Solution : Correct Answer is - Arjuna Award
The Arjuna Awards are given by the Ministry of Youth Affairs and Sports, government of India, to recognize outstanding achievement in National sports.
It is given for good performance over a period of previous four years and showing
Question : Which of the following statements is INCORRECT?
Option 1: The radius is the longest chord of a circle.
Option 2: The ratio of the circumference of two circles is equal to the ratio of their radii.
Option 3: The perpendicular drawn from the centre of the circle on the chord of the circle bisects the chord.
Option 4: Circles are congruent to each other if they have equal radii.
Correct Answer: The radius is the longest chord of a circle.
Solution : The radius is not the longest chord of the circle. Diameter is the longest chord of a circle which passes through the centre joining the two points on the circumference of a circle. Diameter = 2 ×
Question : What is the greatest number which, on dividing 342 and 480, leaves remainders of 6 and 4 respectively?
Option 1: 14
Option 2: 4
Option 3: 7
Option 4: 28
Correct Answer: 28
Solution : The greatest number on dividing 342 and 480 leaves the remainder 6 and 4 respectively is the HCF of (342 - 6 = 336) and (480 - 4 = 476) 336 = 28 $\times$ 12 476 = 28 $\times$ 17 $\therefore$ HCF (333, 476) is
Question : What is the total number of factors of the number 840 except 1 and the number itself?
Option 1: 29
Option 2: 30
Option 3: 28
Option 4: 31
Correct Answer: 30
Solution : Given number = 840 We can write it as, $2^3×3×5×7$ Now, Total factors $=(3+1)×(1+1)×(1+1)×(1+1)=4×2×2×2=32$ ⇒ Total number of factors apart from 1 and 840 itself = 32 – 2 = 30 Hence, the correct answer is 30.
Question : While Magadha was a powerful Mahajanapada, Vajji, with its capital at Vaishali (Bihar), was under a different form of government known as:
Option 1: Samajwadi
Option 2: gana or sangha
Option 3: loktantra
Option 4: Panchayati
Correct Answer: gana or sangha
Solution : The correct option is gana or sangha.
Vaishali, in Bihar, served as the capital of the Vajji governmental system, which was referred to as "gana" or "sangha". The Vajji Mahajanapada has a distinct system of governance, distinguished by a republican framework. It
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