Research Aptitude Test

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Research Aptitude Test - 2

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Question 1
2 / -0.5

Look at this series: 7, 10, 8, 11, 9, 12,...so on. What number should come next?

A
7

B
10

C
12

D
13

Solution

This is a simple alternating addition and subtraction series.

In the first pattern, 3 is added. In the second, 2 is subtracted.

►7 + 3 = 10,
►10 - 2 = 8,
►8 + 3 = 11,
►11 - 2 = 9,
►9 + 3 = 12,
►12 - 2 = 10 .
Question 2
2 / -0.5

Choose the word which is different from the rest.

A
Coat

B
Shirt

C
Blouse

D
Trousers
Solution
The word that is different from the rest is "Trousers "(Option D).

Explanation: All the other options - Coat, Shirt, Blouse, and Sweater - are upper-body clothing items, while Trousers are a lower-body clothing item. Hence, Trousers are the odd one out.
Question 3
2 / -0.5

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.

Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to R be satisfied, then which of the following statements is true?

A
U sits to the immediate right of S.

B
U sits to the immediate left of T.

C
U sits to the immediate left of P.

D
Either (A) or (B) above.

Solution

P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

On the basis of the diagram that we drew, we find that to accommodate U we have to create a new slot between P and Q.

Hence, choice (c) is the correct answer. Choice (c)
Question 4
2 / -0.5

The average age of a group of men is increased by 6 years when a person aged 26 years is replaced by a new person of aged 56 years. How many men are there in the group?

A
3

B
5

C
4

D
6

Solution

When a person aged 26 years, is replaced by a person aged 56 years, the total age of the group goes up by 30 years.

Since this leads to an increase in the average by 6 years, it means that there are 30 / 6 = 5 persons in the group.
Question 5
2 / -0.5

Instructions: On the basis of the information given below, answer the questions that follow.

Maruti Suzuki has tie-ups with five dealers in Allahabad to sell their cars. The first pie chart given below gives the dealer-wise break-up of the number of cars sold by Maruti Suzuki in Allahabad in 2015. The second pie chart shows the model-wise breakup of the total cars sold by Maruti Suzuki in 2015 in Allahabad.

Q. If the dealers R and S sold only Zen, Baleno and swift then at least what percentage of the Swifts sold, were sold by these two dealers alone? (Enter only the integer value rounded off to nearest integer. Don ’t put % sign)

A
63

B
84

C
59

D
33

Solution

If the number of swifts sold by R and S is to be minimum, R and S should sell a maximum number of Baleno and Zen.

The share of R and S in total sales is 40%.

So even if they sell all Baleno ’s and Zen that will account to only 24%, so they together will sell 16% Swifts.

The total share of swifts is 27% so they sold 16%.

Hence percentage share would be 16/27 ×100

= 59.25% which on rounding off becomes 59%. So correct answer is 59.
Question 6
2 / -0.5

The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

A
9, 10

B
10, 11

C
11, 12

D
12, 13

E
None of these

Solution

Let the two consecutive positive integers be x and x + 1.

⇒x² + (x + 1)² - x(x + 1) = 91
⇒x² + x - 90 = 0
⇒(x + 10)(x - 9) = 0
⇒x = -10 or 9.
x = 9 [∵ x is positive]

Hence the two consecutive positive integers are 9 and 10.
Question 7
2 / -0.5

The inequality of p² + 5 <5p + 14 can be satisfied if:

A
p ≥6, p = 1

B
p = 6, p = −2

C
p ≤6, p ≤1

D
p ≤6, p >−1

Solution

We have, p² + 5 <5p + 14

=> p² –5p –9 <0

=>p <6.4 or p >-1.4
Hence, p ≤6, p >−1 will satisfy the inequalities
Question 8
2 / -0.5

A right angled triangle has a height ‘p ’, base ‘b ’and hypotenuse ‘h ’. Which of the following value can h² not take, given that p and b are positive integers?

A
74

B
52

C
13

D
23

Solution

We know that,
h² = p² + b² Given, p and b are positive integer, so h2 will be sum of two perfect squares.

We see
a) 7² + 5² = 74
b) 6² + 4² = 52
c) 3² + 2² = 13
d) Can ’t be expressed as a sum of two perfect squares

Therefore the answer is Option D.
Question 9
2 / -0.5

One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card(Jack, Queen or King)

A

B

C

D
Solution
Total number of cards, n(S) = 52

Total number of face cards, n(E) = 12 (4 Jacks, 4 Queens, 4 Kings)
Question 10
2 / -0.5

The square root of 16641 is:

A
129

B
121

C
211

D
229
Solution
Step 1 :

We now need to obtain the digital root of the number. Here 's how you do it:

Split the number up and add each digit together:
1 + 6 + 6 + 4 + 1 = 18

If the answer is more than one digit, you would add each digit of the answer together again:
1 + 8 = 9

What is the digital root of number 16,641?
Answer: 9

Step 2:

So now we know the digital root of 16,641 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?

Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 16,641 could be a perfect square!

Factoring

OK, so now we know that 16,641 could be a perfect square. We have to find the factors of the number to be sure.

Here are all of the factors of 16,641:
(1 x 16,641) (3 x 5,547) (9 x 1,849) (43 x 387) (129 x 129)

Hence the answer is 129.