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Question : Two equal sums were lent out at 7% and 5% simple interest respectively. The interest earned on the two loans adds up to Rs. 960 for 4 years. The total sum lent out in:
Option 1: Rs. 3500
Option 2: Rs. 2500
Option 3: Rs. 2000
Option 4: Rs. 3000
Correct Answer: Rs. 2000
Solution : If each amount lent be P, then According to the question, $\frac{\text{P×7×4}}{100}$+$\frac{\text{P×5×4}}{100}$ = 960 ⇒ $\frac{\text{48P}}{100}$ = 960 ⇒ P = Rs. 2000 Hence, the correct answer is Rs. 2000.
Question : The average of D1 and D2 is 40. The average of D2 and D3 is 45. The average of D1 and D3 is 55. What is the value of D3?
Option 1: 60
Option 2: 45
Option 3: 50
Option 4: 55
Correct Answer: 60
Solution : Given: The average of D1 and D2 is 40. The sum of D1 and D2 = 40 × 2 = 80 ---------------(1) The average of D2 and D3 is 45. The sum of D2 and D3 =
Question : How many numbers between 300 and 700 are divisible by 5, 6, and 8?
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 20
Correct Answer: 3
Solution : Least Common Multiple (LCM) of 5, 6, and 8 = 120 300 = 120 × 3 – 60 700 = 120 × 5 + 100 Number of numbers divisible by 5, 6, and 8 between 300 and 700 = 5 - 3 + 1 =
Question : Select the most appropriate synonym of the given word. Gentle
Option 1: Fierce
Option 2: Ferocious
Option 3: Cruel
Option 4: Sympathetic
Correct Answer: Sympathetic
Solution : The fourth option is the most appropriate choice.
Sympathetic is the most appropriate synonym for gentle because both words convey a sense of kindness, tenderness, and a considerate, compassionate nature.
The meanings of the other options are as follows:
Fierce means having a violent or
Question : Who is the author of the book 'A Soldier's General'?
Option 1: General V. K. Singh
Option 2: General J. J. Singh
Option 3: Admiral Nirmal Kumar Verma
Option 4: Air Chief Marshal A. K. Browne
Correct Answer: General J. J. Singh
Solution : The correct answer is General J. J. Singh.
At the army headquarters, General J. J. Singh was a key player in the planning and execution of the Kargil War. He was chosen to lead Arunachal Pradesh as governor after retiring. A Soldier's
Question : Directions: In a certain code language, LOAF is coded as 8362, LICK is coded as 5103, JOCK is coded as 0841, JEAN is coded as 9472. What is the code for LOC in that code language?
Option 1: 385
Option 2: 341
Option 3: 381
Option 4: 480
Correct Answer: 381
Solution : Given: I. LOAF is coded as 8362 II. LICK is coded as 5103 III. JOCK is coded as 0841 IV. JEAN is coded as 9472
By comparing all the above-coded letters, we find that – On comparing words I and II, the common letter and
Question : The numerical value of $\frac{(a–b)^{2}}{(b–c)(c–a)}+\frac{(b–c)^{2}}{(c–a)(a–b)}+\frac{(c–a)^{2}}{(a–b)(b–c)}$ is: $(a\neq b\neq c)$
Option 1: $0$
Option 2: $1$
Option 3: $\frac{1}{3}$
Option 4: $3$
Correct Answer: $3$
Solution : Given: $\frac{(a–b)^{2}}{(b–c)(c–a)}+\frac{(b–c)^{2}}{(c–a)(a–b)}+\frac{(c–a)^{2}}{(a–b)(b–c)}$ Taking LCM of the given expression, we have, = $\frac{(a–b)(a–b)^{2}+(b–c)(b–c)^{2}+(c–a)(c–a)^{2}}{(a–b)(b–c)(c–a)}$ = $\frac{(a–b)^{3}+(b–c)^{3}+(c–a)^{3}}{(a–b)(b–c)(c–a)}$ We know that $x^{3}+y^{3}+z^{3}=3xyz$, if $x+y+z=0$ According to this, we have, ⇒ $(a-b)=x$, $(b-c)=y$, $(c-a)=z$ So, $x+y+z=(a-b+b-c+c-a)=0$ Now, $\frac{(a–b)^{3}+(b–c)^{3}+(c–a)^{3}}{(a–b)(b–c)(c–a)}$ = $\frac{3(a–b)(b–c)(c–a)}{(a–b)(b–c)(c–a)}$ = 3 Hence, the correct answer is $3$.
Question : A computer programming language often used by children is:
Option 1: LOGO
Option 2: PILOT
Option 3: BASIC
Option 4: JAVA
Correct Answer: LOGO
Solution : The correct answer is LOGO.
LOGO is another popular computer programming language among children. It is a text-based language, but it is intended to be simple to learn and apply. LOGO is also incredibly adaptable and can be used to build tasks, including sketching graphics,
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at AB.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per mirror image properties, closer things appear closer to the mirror in reflection. According to the information provided, if the mirror is placed on the right side of the figure (on line AB), the right of the reflected image will appear as the left, and
Question : Select the most appropriate antonym of the given word.
HORRENDOUS
Option 1: awful
Option 2: pleasant
Option 3: shrewd
Option 4: ghastly
Correct Answer: pleasant
Solution : The correct choice is the second option.
Horrendous means extremely unpleasant, horrifying, or terrible. Pleasant means enjoyable or agreeable, which is directly opposite to the negative connotations of horrendous.
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