Question : Directions: P is to the north of Q. T is to the east of Q and S is to the east of P. S is to the northeast of T and south-west of R. What is the position of R with respect to Q? (All positions are arranged in GRID pattern)
Option 1: North-east
Option 2: South-west
Option 3: East
Option 4: South
Correct Answer: North-east
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the position of R with respect to Q.
So, R is in the northeast direction with respect to Q. Hence, the first option is correct.
Answer laterQuestion : Equal sum of money are lent to X and Y at 7.5% per annum for 4 years and 5 years respectively. If the difference in interest, paid by them was Rs. 150, the sum lent to each was:
Option 1: Rs. 500
Option 2: Rs. 1000
Option 3: Rs. 2000
Option 4: Rs. 3000
Correct Answer: Rs. 2000
Solution : Let the sum be $\text{P}$ for both cases.
Time = 5 years and 4 years.
Difference = 150
According to the question:
By using the formula of Simple Interest: SI = $\frac{\text{P×R×T}}{100}$ where $P$ is principal, $T$ is time in years and $R$ is the rate of interest per annum.
$\frac{\text{P×7.5×5}}{100}-\frac{\text{P×7.5×4}}{100}$ = 150
⇒ $\frac{\text{7.5P}}{100}$ = 150
⇒ $\text{P}$ = Rs. 2000
Hence, the correct answer is Rs. 2000.
Question : Directions: In the following question, a series is given with one or more term(s) missing. Choose the correct alternative from the given options.
az225, cx423, ev621, _?, _?
Option 1: jq1116, kp1215
Option 2: go1314, mn126
Option 3: gt819, ir1017
Option 4: gu720, gt819
Correct Answer: gt819, ir1017
Solution : Given:
az225, cx423, ev621, _?, _ ?
az225→a + 2 = c; a and z are opposite pairs; 225 + 198 = 423
cx423→c + 2 = e; c and x are opposite pairs; 423 + 198 = 621
ev621→e + 2 = g; e and v are opposite pairs; 621 + 198 = 819
gt819→g + 2 = i; g and t are opposite pairs; 819 + 198 = 1017
So, gt819 and ir1017 are the missing terms of the series. Hence, the third option is correct.
Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation.
31 * 2 * 60 * 30 * 15 * 49
Option 1: ×, ÷, +, –, =
Option 2: ×, –, +, ÷, =
Option 3: –, ÷, +, ×, =
Option 4: ×, +, ÷, –, =
Correct Answer: ×, +, ÷, –, =
Solution : Given:
31 * 2 * 60 * 30 * 15 * 49
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the options –
First options: ×, ÷, +, –, =
31 × 2 ÷ 60 + 30 – 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 ÷ 60 + 30 – 15
= 31 × 0.033 + 30 – 15
= 1.023 + 30 – 15
= 16.023 ≠ 49
Second option: ×, –, +, ÷, =
31 × 2 – 60 + 30 ÷ 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 – 60 + 30 ÷ 15
= 31 × 2 – 60 + 2
= 62 – 60 + 2
= 4 ≠ 49
Third option: –, ÷, +, ×, =
31 – 2 ÷ 60 + 30 × 15 = 49
On solving the L.H.S. of the given equation –
= 31 – 2 ÷ 60 + 30 × 15
= 31 – 0.033 + 30 × 15
= 31 – 0.033 + 450
= 480.967 ≠ 49
Fourth option: ×, +, ÷, –, =
31 × 2 + 60 ÷ 30 – 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 + 60 ÷ 30 – 15
= 31 × 2 + 2 – 15
= 62 + 2 – 15
= 49
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (4).
Our progress was slow because of having to search for them at frequent intervals.
(1) at having
(2) through having
(3) in having
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct option is the second option.
Explanation: It conveys the idea that the slow progress was due to the process of searching for them repeatedly.
The other options are not the best choice and also they do not convey the intended meaning of the sentence.
So, the sentence should be: "Our progress was slow through having to search for them at frequent intervals."
Question : Baily's beads can be observed during a/an:
Option 1: Occultation of Jupiter
Option 2: Partial solar eclipse
Option 3: Lunar eclipse
Option 4: Total solar eclipse
Correct Answer: Total solar eclipse
Solution : The correct answer is Total solar eclipse.
The arc of bright spots known as "Baily's beads" is visible during total and annular solar eclipses. They are known as "beads" because of the irregularity of light created by mountains and valleys on the lunar surface. They are named for the English astronomer Francis Baily, who first brought them to light after witnessing an eclipse in 1836.
Question : How many times has Shivaji plundered Surat?
Option 1: Four times
Option 2: Once
Option 3: Thrice
Option 4: Twice
Correct Answer: Twice
Solution : The correct answer is Twice.
By assaulting Surat twice, he made a clear statement to Aurangzeb. Due to its prominence as a commercial hub, it prospered between the 16th and 18th centuries. British India Regiment captain James Grant Duff claims that Shivaji attacked Surat on January 5, 1664. He was called as "mountain rat" by Aurangzeb.
Question : India's rank in Tokyo Olympics 2020 is:
Option 1: 49
Option 2: 48
Option 3: 47
Option 4: 46
Correct Answer: 48
Solution : The correct answer is 48.
The Tokyo Olympic Games took place in 2021, not 2020, due to the postponement caused by the COVID-19 pandemic. India had a commendable performance at the Tokyo Olympics in 2021, securing a total of seven medals. India's rank in the overall medal tally was 48th, marking one of the country's best showings at the Olympics. The medals included 1 gold, 2 silver, and 4 bronze, with notable achievements in events like weightlifting, badminton, and athletics.
Question : If $a= 9.6,b= 4.44,$ and $c= 5.16$, then the value of $a^3- b^3- c^3- 3 abc$ is:
Option 1: 0
Option 2: –1
Option 3: 2
Option 4: 1
Correct Answer: 0
Solution : Given: $a= 9.6,b= 4.44,$ and $c= 5.16$
We know,
If $a-b-c=0,$ then $a^3-b^3-c^3-3abc=0$
Here, $a-b-c=9.6-4.44-5.16=0$
So, $a^3-b^3-c^3-3abc=0$
Hence, the correct answer is 0.
Question : Which of these statements is correct with regard to the appointment of the chairperson of the National Human Rights Commission?
Option 1: He or she has to be a retired Chief Justice of India.
Option 2: He or she has to be a retired Supreme Court Judge.
Option 3: He or she has to be a serving or retired Chief Justice of a High Court.
Option 4: He or she should have demonstrated experience as a Human Rights activist.
Correct Answer: He or she has to be a retired Chief Justice of India.
Solution : The correct answer is that He or she has to be a retired Chief Justice of India.
The National Human Rights Commission was established as a statutory body under the Protection of Human Rights Acts, 1993. It was established in adherence to the Universal Declaration of Human Rights. It has five members and one chairman. A retired Chief Justice of India or a judge of the Supreme Court can become its chairman.
