[Mission 2022] Insta–DART (Daily Aptitude and Reasoning Test) 27 November 2021

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Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too. We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.

Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).

Wish you all the best ! 🙂

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Question 1 of 5

1. Question

How many prime numbers exist in 67 x 353 x 1110 ?

Correct

Ans A

=(2 x 3)7 x (5 x 7)3 x 1110

=27 x 37 x 53 x 73 x 1110

Thus, there are (7 + 7 + 3 + 3 + 10) = 30 prime number

Incorrect

Ans A

=(2 x 3)7 x (5 x 7)3 x 1110

=27 x 37 x 53 x 73 x 1110

Thus, there are (7 + 7 + 3 + 3 + 10) = 30 prime number

Question 2 of 5

2. Question

If the number 653ab is divisible by 90, then (a + b) = ?

Correct

Ans C

90 = 10 x 9 Clearly, 653ab is divisible by 10, so b = 0 Now, 653a0 is divisible by 9. So, (6 + 5 + 3 + a + 0) = (14 + a) is divisible by 9. So, a = 4. Hence, (a + b) = (4 + 0) = 4.

Incorrect

Ans C

90 = 10 x 9 Clearly, 653ab is divisible by 10, so b = 0 Now, 653a0 is divisible by 9. So, (6 + 5 + 3 + a + 0) = (14 + a) is divisible by 9. So, a = 4. Hence, (a + b) = (4 + 0) = 4.

Question 3 of 5

3. Question

A girl multiplies 987 by a certain number and obtains 559981 as her answer. If in the answer, both 9’s are wrong but the other digits are correct, then the correct answer will be

Correct

Ans : C

987 = 3 x 7 x 47.

So, required number must be divisible by each one of 3, 7, 47.

553681 and 555181 are not divisible by 3. While 556581 is not divisible by 7.

Correct answer is 555681.

Incorrect

Ans : C

987 = 3 x 7 x 47.

So, required number must be divisible by each one of 3, 7, 47.

553681 and 555181 are not divisible by 3. While 556581 is not divisible by 7.

Correct answer is 555681.

Question 4 of 5

4. Question

A shopkeeper claims that he is selling sugar at Rs 23/kg which cost him Rs 25/kg but he is giving 800gm instead of 1000gm. What is his percentage profit or loss?

Correct

Ans : A

Here the cost price of the sugar is Rs 25/kg and the selling price is Rs 23/kg. So the loss is Rs 2/kg and the loss percentage = 2/25 x 100 = 8%

The profit due to wrong weight = 200/800 x 100 = 25%

Hence the overall profit and loss is given by {P + Q + (PQ/100)}

But as he is making loss of 8% in the first case so we put -8 in the above expression. If the final value is positive then he is making profit otherwise loss. So the net profit and loss =

{25 – 8 + {25 x (-8)}/100} = 25 – 8 – 2 = 15%

As the final value is positive so he is making a profit of 15%

Incorrect

Ans : A

Here the cost price of the sugar is Rs 25/kg and the selling price is Rs 23/kg. So the loss is Rs 2/kg and the loss percentage = 2/25 x 100 = 8%

The profit due to wrong weight = 200/800 x 100 = 25%

Hence the overall profit and loss is given by {P + Q + (PQ/100)}

But as he is making loss of 8% in the first case so we put -8 in the above expression. If the final value is positive then he is making profit otherwise loss. So the net profit and loss =

{25 – 8 + {25 x (-8)}/100} = 25 – 8 – 2 = 15%

As the final value is positive so he is making a profit of 15%

Question 5 of 5

5. Question

Lalit marks up his goods by 40% and gives a discount of 10%. Apart from this, he uses a faulty balance also, which reads 1000 gm for 800 gm. What is his net profit percentage?

Correct

Ans: A

Let us assume his CP/1000 gm = Rs 100

So, his SP/kg (800 gm) = Rs 126

So, his CP/800 gm = Rs 80

So, profit = Rs 46

So, profit percentage = 46/80 x 100 = 57.5%

Incorrect

Ans: A

Let us assume his CP/1000 gm = Rs 100

So, his SP/kg (800 gm) = Rs 126

So, his CP/800 gm = Rs 80

So, profit = Rs 46

So, profit percentage = 46/80 x 100 = 57.5%

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