Question of the day

Countdown to CAT 2020|DAY 126|LRDI

Linear Arrangement

Four friends Akhil, Bhrigu, Chinmay and Dhruv went for an excursion with their wives Priya, Ritu, Shreya and Veena, not necessarily in the same order. Each couple hails from a different city amongst Mumbai, Chennai, Kolkata and Hyderabad, not necessarily in that

order. They went to Agra to visit the Taj Mahal, where they sat in a row. Each wife always sat to the immediate right of her husband.

(i) Bhrigu sat to the immediate right of Priya.

(ii) Dhruv is from Hyderabad and Priya is not from Mumbai.

(iii) Ritu and her husband were sitting to the immediate right of the couple that hailed from

Chennai.

(iv) Chinmay and his wife were sitting to the immediate left of the couple from Kolkata and

Chinmay was sitting to the immediate right of Shreya.

(v) Akhil sat to the immediate right of Ritu, who is not from Mumbai.

1. Who is Dhruv’s wife?
(A) Shreya
(B) Priya
(C) Veena
(D) Ritu

2. Which couple is from Chennai?
(A) Veena and Bhrigu
(B) Dhruv and Ritu
(C) Chinmay and Priya
(D) Akhil and Shreya

3. Who is the husband in the couple, which is seated second in the row from left to right?
(A) Akhil
(B) Bhrigu
(C) Chinmay
(D) Dhruv

Quant Question Of The Day: 261

There are 10 consecutive natural numbers. Average of this numbers is k. If 4 more numbers consecutive numbers to the smallest of the 10 numbers are added to set, then what will be new average.

  1. k+1
  2. k-4
  3. k-2
  4. can’t be deteremined

Solution for Quant Question of the day: 260

By Allegation

32                       53

            35

18          :        3

hence quantities should be mixes in 6:1

so 49 litres should have 42 litres of 32% and 7 litres of 53%.

hence 7 litres quantity should be replaced.

See our previous quant question of the day:

Quant Question Of The Day: 260

Quant Question Of The Day: 260

Belgian shake company made Chocolate shake by mixing chocolate and milk. The 49 litres container is filled with 32% chocolate and shipped to South campus. But in the study it was found that students in the south campus demand more chocolate concentration in the shake. So Belgian shake company decided to make it 35% concentration of the chocolate. How much quantity must be replaced with 53% chocolate shake to achieve 35% concentration.

  1. 14 liters
  2. 7 litres
  3. 21 litres
  4. 5 litres

Solution for Quant Question of the day: 259

(1) There are multiple values of a for hcf (a,b ) = 8 (8,16; 16,24)

(2) There are multiple values of a for lcm (a,b) = 48 (eg 8,48; 16, 48)

combines – there are still multiple values of a  (eg, 8,48 ; 16,24)

See our previous quant question of the day:

Quant Question Of The Day: 259

Quant Question Of The Day: 259

Following Question is followed by 2 statements. 

Mark (1), if question can be answered using one of the statements but not the other

Mark(2), if question can be answered using either of the statements.

Mark(3), if question can be answered using both the statements together but not by only one of those. 

Mark(4), if question cannot be answered using both the statements together.

What is the Value of integer A?

I HCF(A,B) = 8

II LCM(A, B) =48

Solution for Quant Question of the day: 258

let’s say he pays Rs100 for 100 gms

so he buys 130gms instead of 100gms (in Rs. 100)

and sells 70gms instead of 100gms (in Rs. 100)

now 60 gms is his profit over qty sold {70 gms in 100 rs, So further 60 gms in 7/6*100 rs)

60/70*100 = 85.71% profit

See our previous quant question of the day:

Quant Question Of The Day: 258

Quant Question Of The Day: 258

If a merchant gives cheats 30% while buying and cheats 30% while selling. Find his profit percentage

  1. 60% profit
  2. 85.71% profit
  3. no profit no loss
  4. 30% profit

Solution for Quant Question of the day: 257

using alligation

40% grads                                70% non grads

                   60% boys        

10                             :                   20

hence ration of grads to non grads is 10:20 = 1:2

hence % of grads = (grads/total)*100 = 1/3*100 = 33.33%

See our previous Quant Question of the day:

Quant Question Of The Day: 257

Quant Question Of The Day: 257

In a group of boys and girls, some people are graduates and other are not. 40% of graduates and 70% of non-graduate are boys. If there are total 40% girls in the group then what is the percent of graduates in the group.

  1. 33.33%
  2. 66.66%
  3. 50%
  4. 55.5%

Solution for Quant Question of the day: 256

They meet after 6 days (lcm of 2 and 3) or after 6n days

and Wednesday will come after 3 days or 7k+3 days

so 7k+3 = 6n (where k and n are integers)

k = 3 , then, n =4

hence they will meet after 7(3)+3 = 24 days for first time on a wednesday

and then after 42 days (lcm of 6 and 7), they will again meet (for 2nd time) on a Wednesday. It means after 66 days Viraj will  have 2 crystals.

See our Previous Quant Question of the day

Quant Question Of The Day: 256