Cognizant GenC Aptitude Questions and Pattern 2023

Explanation:

=49/10 + 3/11 + 7/15

=(1617+90+154)/330=  1861/330

Explanation:

We have the weight of the first package = 500kg.

Weight of third package = 500 + 45% of 500 kg

= 500 + 45/100 × 500

= 500 + 225

= 725

Weight of second package = 725kg + 50% of 725

= 725 + 725 × 50/100

= 725 + 362.5

= 1087.5

Weight of fourth package = 360kg

We are given that weight of fourth package =40%of weight of 5 th package

Hence 360 = 40/100 × weight of fifth package

Weight of fifth package = 360 × 100/40

= 900 ks

Total weight of all packages = 500 + 725 + 1087.5 + 360 + 900

= 3572.5

Average weight = 3572.5/5

= 714.5 kgs

Explanation: 38% of 4500- 25% of ? = 1640

⇒ ((38×4500)/100) − (25x/100) =1640

⇒ x = 280

Explanation:

Let A, B and C denote A’s, B’s and C’s shares respectively.

A + B + C = 600

Given that,

A × (2/5) + 40 = B × (2/7) + 20 = C × (9/17) + 10

Consider,

A × (2/5) + 40 = B × (2/7) + 20

⇒ B = A × (7/5) + 70

Now consider,

A × (2/5) + 40 = C × (9/17) + 10

⇒ C = A × (34/45) + (170/3)

∵A + B + C = 600

⇒ A + A × (7/5) + 70 + A × (34/45) + (170/3) = 600

⇒ A × (1 + 7/5 + 34/45) = 1420/3

⇒ A × (142/45) = 1420/3

⇒ A = Rs.150

Explanation:

Selecting 2 boys from a group of 12 and correspondingly selecting 3 girls from a group of 15 girls

¹²C₂ × ¹⁵C₃ = 30030 ................... (ⁿC_r = { n!/[r! × (n-r)!]})
Hence option (A)

Explanation:
Let us take person a2 from the set. Then we have a1 and a3 have shaken hands with a2

But not a4 has shaken hands with a2 so we take a5 in the set thus a4 and a6 have shaken hands with the set but a7 has not so we take a8...thus we leave a gap of two people and select the third person in the set.
So answer is 36/3 = 12

When 2 dices are thrown together, there are a total of 36 possible outcomes.

Out of the 36 possible outcomes,

Only the following will give us favorable outcomes

(1,3) , (3,1) , (2,2) , (1,5) , (2,4) , (3,3) , (4,2) , (5,1) , (2,6) ,(3,5),(4,4) , (5,3),(6,2) and (6,6)

Hence total favorable outcomes = 14

Explanation:

Total possible outcomes = 36

Probability = Total favorable outcomes/total possible outcomes.

= 14/36
= 7/18

Explanation:

Let quantity of solution sold be 1 litre

When the solution is sold for 297, the profit percent = 10%

Hence CP of solution = SP × 100/(100+P%)

⇒CP = 297 × 100/(100+10)

⇒CP = 270

Ratio of quantities of brand A and brand B is 3:7

Let their costs be 2c and 3c.

⇒ 0.3×2c + 0.7×3c = 270

⇒ 2.7c = 270

⇒ c = 100

Hence cost of Brand B = 3c = 300

Explanation:

We know that

Perimeter of rectangle = 2 (l + b)

Area of rectangle = l × b

Diagonal of rectangle = √ (l2+ b2)

Where l = length of rectangle

b = breadth of rectangle

According to the question

2 (l + b) = 46 m

⇒ l + b = 23 m ………… (1)

And

l × b = 120 m2 ………… (2)

Solving equation (1) and (2) we get

l = 15 m

b = 8 m

∴ Diagonal of rectangle = √ (152 + 82) = √ (225 +64)

= √289 = 17 m

Let the present age of purvi = x years

∴ Present age of Anil = 1.5x

Eight year hence age of purvi = x + 8 years

Eight year hence age of anil = 1.5x + 8 years

Explanation:

According to the question

⇒(1.5x+8)/x+8 = 2518

⇒ 27x + 144 = 25x + 200

⇒ 2x = 56

⇒ x =28 yrs.