Question : If Ashish can complete $\frac{2}{3}$rd the work in 22 days. In how many days will he complete the whole work?
Option 1: 15 days
Option 2: 30 days
Option 3: 22 days
Option 4: 33 days
Correct Answer: 33 days
Solution : Given: Ashish can complete $\frac{2}{3}$rd the work in 22 days.
The number of days he will complete the whole work $=22 × \frac{3}{2} = 11 × 3 = 33$ days
Hence, the correct answer is 33 days.
Question : Directions: Select the option in which the words share the same relationship as that shared by the given pair of words.
Desert : Sand
Option 1: Sea: Water
Option 2: River: Ship
Option 3: Mud: Forest
Option 4: Respiration : Air
Correct Answer: Sea: Water
Solution : Given:
Desert : Sand (The first word is a place that is fully surrounded by the second word.)
First option: Sea: Water; Sea surrounded by water.
Second option: River: Ship; River is not surrounded by water.
Third option: Mud: Forest; Mud doesn't need to be surrounded by forest.
Fourth option: Respiration : Air; Air is the source of respiration.
Therefore, only the first option follows the same pattern as followed in the given question. Hence, the first option is correct.
Question : Ishita can read a newspaper in 'n' minutes. What part of the newspaper can she read in 7 minutes? (n > 7)
Option 1: $\frac{n}{7}$
Option 2: $7 n^2$
Option 3: $7 \mathrm{n}$
Option 4: $\frac{7}{n}$
Correct Answer: $\frac{7}{n}$
Solution : Time taken to read a newspaper = $n$ minutes
Part of newspaper read in a minute = $\frac{1}{n}$
Part of newspaper read in 7 minutes = $\frac{7}{n}$
Hence, the correct answer is $\frac{7}{n}$.
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right mirror image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear as the right side, and the right side will appear as the left side. However, the top and bottom of the reflected image will remain the same.
Thus, the correct mirror image of the given figure will be –
Hence, the first option is correct.
Question : Who was the founder of Prarthana Samaj?
Option 1: Ram Singh
Option 2: Swami Vivekananda
Option 3: Tulsi Ram
Option 4: Atmaram Pandurang
Correct Answer: Atmaram Pandurang
Solution : The correct answer is Atmaram Pandurang.
In March 1867, during Keshub Chandra Sen's visit to Maharashtra, Atmaram Pandurang created Prarthana Samaj to convert people to monotheistic belief systems. After Mahadev Govind Ranade joined, it gained popularity. The intellectuals who supported changes to the Hindu social structure were the primary reformers.
Question : $\frac{1}{2}$ of A = $\frac{2}{5}$ of B = $\frac{1}{3}$ of C, then A : B : C is:
Option 1: 4 : 5 : 6
Option 2: 6 : 4 : 5
Option 3: 4 : 6 : 5
Option 4: 5 : 4 : 6
Correct Answer: 4 : 5 : 6
Solution : Given: $\frac{1}{2}× A=\frac{2}{5} × B=\frac{1}{3} × C$
⇒ $\frac{1}{2} × A=\frac{2}{5} × B$
⇒ $\frac{A}{B} = \frac{4}{5}$
And, $\frac{2}{5} × B = \frac{1}{3} × C$
⇒ $\frac{B}{C} = \frac{5}{6}$
Taking B as common, the value of B is the same in both cases so that the ratio will be $A : B : C=4:5:6$
Hence, the correct answer is 4 : 5 : 6.
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All hexagons are pentagons.
All pentagons are octagons.
All octagons are decagons.
Conclusions:
I. All decagons are hexagons.
II. All hexagons are octagons.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion (I): All decagons are hexagons – From the Venn diagram, it is evident that some parts of the circle representing decagons lie inside the circle representing hexagons while some lie outside. Thus, this conclusion does not follow.
Conclusion (II): All hexagons are octagons – From the Venn diagram, it is evident that the circle representing hexagons is completely overlapped by the circle representing octagons. Thus, it can be concluded that all hexagons are octagons.
So, the only conclusion II follows. Hence, the third option is correct.
Question : A shopkeeper allows a discount of 20% on the marked price and still gains 12% on the whole. Find at what percentage above the cost price he marks his goods.
Option 1: 30%
Option 2: 10%
Option 3: 40%
Option 4: 20%
Correct Answer: 40%
Solution : Let the cost price (CP) be 100.
The gain percentage is 12%.
So, the selling price (SP) = 100 + 100 × $\frac{12}{100}$ = 112
Now, discount = 20%,
So, the marked price (MP) × $\frac{(100-\text{discount percentage})}{100}$ = SP
⇒ MP × $\frac{(100-20)}{100}$ = 112
⇒ MP = $\frac{112×100}{80}$ = 140
Therefore, the required percentage = (140 – 100) = 40%
Hence, the correct answer is 40%.
Question : Directions: Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
Question : What will be the length of the longest diagonal of the cuboid having a length of 13 cm, width of 11 cm, and height of 20 cm?
Option 1: 23.45 cm
Option 2: 26.27 cm
Option 3: 34.65 cm
Option 4: 22.65 cm
Correct Answer: 26.27 cm
Solution : Given: Length($l$) = 13 cm, width($b$) = 11 cm, and height($h$) = 20 cm
Length of the longest diagonal of the cuboid
$=\sqrt{13^2 + 11^2 + 20^2}$
$= \sqrt{169 + 121 + 400}$
$= \sqrt{690}$
$= 26.27$ cm
Hence, the correct answer is 26.27 cm.