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Question : How many men need to be employed to complete a job in 5 days, if 15 men can complete $\frac{1}{3}$ of the job in 7 days?
Option 1: 20
Option 2: 21
Option 3: 45
Option 4: 63
Correct Answer: 63
Solution : Given: 15 men can complete $\frac{1}{3}$ of the job in 7 days. Let the number of men needed for 5 days be $y$. According to the question, ⇒ 15 men × 7 days = $\frac{1}{3}$rd work ⇒ 15 men × 21 days = 1 work
Question : The months of______form a period of transition from a hot rainy season to dry winter conditions.
Option 1: October-November
Option 2: September-October
Option 3: December-January
Option 4: November-December
Correct Answer: October-November
Solution : The correct option is October-November.
October and November bring in a transitional phase distinguished by a change from the hot and humid monsoon season to the arrival of dry and mild winter weather. Many places see changes in the temperature, precipitation patterns, and general
Question : Find the third proportional to 8 and 20.
Option 1: 25
Option 2: 50
Option 3: 40
Option 4: 64
Correct Answer: 50
Solution : Third proportional to $a$ and $b$ is given by $\frac{b^2}{a}$, where $a$ = 8, $b$ = 20. So, the third proportional to 8 and 20 is = $\frac{20^2}{8}$ = $\frac{400}{8}$ = $50$ Hence, the correct answer is 50.
Question : Directions: Select the option that represents the letters which when sequentially placed from left to right in the blanks below will complete the letter series. S_G_M_AGE_S_ _EOSAG_ _
Option 1: AETNAGEP
Option 2: AFTNAHFP
Option 3: AFTNAHEP
Option 4: AESNAGEP
Correct Answer: AESNAGEP
Solution : Given: S_G_M_AGE_S_ _EOSAG_ _
To fill the series, we have to divide the series – S_G_M / _AGE_ / S_ _EO / SAG_ _ Let's check each option – First option: AETNAGEP; SAGEM / TAGEN / SAG
Question : Direction: In the following question, identify the diagram that represents the best relationship among classes given below.
Fruits, Apples, Oranges
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Both apples and oranges are fruits. But, apples and oranges are not related to each other in any way.
So, All apples are fruits; All oranges are fruits; No apples are oranges.
Based on the above statements, the Venn diagram will be
Hence, second option is
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 239, 274, 309, 354, 399, 454, ?
Option 1: 499
Option 2: 474
Option 3: 539
Option 4: 509
Correct Answer: 509
Solution : Given: 239, 274, 309, 354, 399, 454, ?
Add 35 in the first two numbers, 45 in the next two numbers, and 55 in the last two numbers – 239 + 35 = 274; 274 + 35 = 309; 309 + 45 = 354; 354
Question : O is a point in the interior of $\triangle \mathrm{ABC}$ such that OA = 12 cm, OC = 9 cm, $\angle A O B=\angle B O C=\angle C O A$ and $\angle A B C=60^{\circ}$. What is the length (in cm) of OB?
Option 1: $6 \sqrt{3}$
Option 2: $4 \sqrt{6}$
Option 3: $4 \sqrt{3}$
Option 4: $6 \sqrt{2}$
Correct Answer: $6 \sqrt{3}$
Solution :
O is a point in the interior of $\triangle \mathrm{ABC}$ OA = 12 cm OC = 9 cm $\angle A O B=\angle B O C=\angle C O A$ $\angle A B C=60^{\circ}$ $\angle A O B=\angle B O C=\angle C O A=\frac{360^{\circ}}{3} = 120^{\circ}$
Question : A table is bought for Rs. 2450 and sold for Rs. 2940. The gain percentage is:
Option 1: 22%
Option 2: 10%
Option 3: 20%
Option 4: 12%
Correct Answer: 20%
Solution : Given: A table is bought for Rs. 2450 and sold for Rs. 2940. Here the cost price (CP) = Rs. 2450 The selling price (SP) = Rs. 2940 So, the gain percentage = $\frac{SP-CP}{CP}×100$ = $\frac{2940-2450}{2450}×100$ = $\frac{490}{2450}×100$ = 20% Hence, the correct answer is
Question : A sphere of radius 18 cm is melted and then a solid cylinder of base radius 4 cm is made from it. What is the height of the solid cylinder?
Option 1: 196 cm
Option 2: 486 cm
Option 3: 224 cm
Option 4: 384 cm
Correct Answer: 486 cm
Solution : The volume of the sphere,$V_{\text{s}} = \frac{4}{3}\pi r_{\text{s}}^3$ and the volume of the cylinder is given by the formula $V_{\text{c}} = \pi r_{\text{c}}^2 h_{\text{c}}$ where $r_{\text{s}}$ is the radius of the sphere, $r_{\text{c}}$ is the radius of the base of the cylinder, and $h_{\text{c}}$
Question : Identify the segment in the sentence which contains a grammatical error. This jewellery box is made from silver and is an antique piece.
Option 1: This jewellery box
Option 2: is made from silver
Option 3: and is
Option 4: an antique piece
Correct Answer: is made from silver
Solution : The correct choice is the second option.
Explanation: The error is in the use of the preposition "from" in connection with the material of the jewellery box. The correct preposition to use when talking about the material from which something is
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