CAT Practice Test: Week 1 - CAT MCQ

Number of employees working in Accounts = 17% of 2400 = 408
Number of employees working in Production = 28% of 2400 = 672
Number of employees working in Marketing = 14% of 2400 = 336
Therefore, total number of employees working in Accounts, Production and Marketing = 408 + 672 + 336 = 1416

10% of the total employees are in marketing and 7% in finance.
So, the number of employees in marketing and finance departments.
= (10 + 7)% of 1800
= 306

Average expenditure on marketing and sales = 
= 20% of 1660 crore
= (20/100) x 1660 crore
= 2 x 166 crore
= Rs. 332 crore

Expenditure on marketing, sales and finance = (22% + 18% + 18%) of 1660 crore = 58% of 1660 crore
= (58/100) x 1660 crore
= Rs. 962.8 crore

Expenditure on R & D = 5% of 1660 crore
= (5/100) x 1660 crore
= Rs. 83 crore

Total number of bikes sold by company F = 27000 x 0.14 = 3780
Total number of cars sold by company F = 32000 x 0.21 = 6720
Total bikes and cars sold by company F = 3780 + 6720 = 10500

Total % of bikes sold by companies A, B and C = 17 + 12 + 12 = 41%
Number of bikes sold = 27000 × 0.41 = 11070

Number of bikes sold by Company E = (17% of 27,000) = 4590
Number of cars sold Company E = (14% of 32,000) = 4480
Required ratio = 459 : 448

Bikes sold by company G = 15% of 27000 = 4050
Total number of bikes and cars sold = 59000
Required percentage = (4050/59000) × 100 = 6.86%

From the pie chart, It is observed that Lara scored 34% runs in the square leg region. Thus, he is the strongest in the square leg region.

Reduction of NADP to NADPH₂
The reduction of NADP to NADPH₂ is an important process in various metabolic pathways. Let's discuss the different metabolic pathways associated with this reduction:
HMP-shunt:
- The hexose monophosphate (HMP) shunt pathway, also known as the pentose phosphate pathway (PPP), is involved in the generation of NADPH₂.
- In the oxidative phase of the HMP-shunt, glucose-6-phosphate is oxidized, leading to the production of NADPH₂.
- The NADPH₂ generated in this pathway plays a crucial role in various cellular processes, including biosynthesis of fatty acids, cholesterol, and nucleotides.
Calvin cycle:
- The Calvin cycle, also known as the light-independent reactions of photosynthesis, is another pathway where NADP is reduced to NADPH₂.
- During the Calvin cycle, NADP acts as a hydrogen acceptor and is reduced to NADPH₂ during the light-independent reactions.
- NADPH₂ produced in the Calvin cycle is used in the synthesis of glucose and other carbohydrates.
Glycolysis:
- Glycolysis is a metabolic pathway that involves the breakdown of glucose to pyruvate.
- Although glycolysis primarily produces ATP and NADH, a small amount of NADPH₂ can also be generated through the conversion of 3-phosphoglycerate to 1,3-bisphosphoglycerate.
EMP-pathway:
- The EMP (Embden-Meyerhof-Parnas) pathway, also known as glycolysis, is the main pathway for glucose metabolism in most organisms.
- While glycolysis primarily generates NADH, a small amount of NADPH₂ can be produced through the conversion of glyceraldehyde-3-phosphate to 1,3-bisphosphoglycerate.
From the above explanations, it is clear that the reduction of NADP to NADPH₂ is associated with the HMP-shunt pathway.

The OECD is singular (that is why the verb is 'expects' rather than expect; the pronoun has to be consistent, hence its is necessary- their is incorrect, 'mostly rich members' is correct, 'their most rich members' is vague, 'from' needs to be followed by 'to', not 'and.' Option 4 corrects these errors.

Since the subject is 'the blame'—the verb has to be singular "has ', 'pinned on' is correct idiom. 'A more calorific diet' is parallel with 'the spread of ..' and a lack of ...' Hence option 4 is faulty parallelism.

Portions (per cent, fractions etc..) the verb will agree with the noun what follows the o f (50 of the people come from ..... 50% of the money comes from ... etc) In this sentence the n noun is machines; hence, the verb 'use' is correct. When there is already a comma in any of the punctuation that replaces a conjunction has to be a semicolon. In the above sentence, there is no conjunction. Option 3 makes the sentence incorrect because the sentence is not saying "launched in 2001 in America." "The proportion..."is the subject in the next clause; hence, the verb has to be singular 'is'.

Faulty parallelism in all the other options.

Tense inconsistency. The lesson of the past decade has to be either " is ' or ' was ' , hence had been is eliminated. The option with was (1) continues the sentence into the present tense and is illogical. The consistent present tense in option 2 makes the whole idea a fact.( simple present tense is used to state facts)

The verb 'says' and the pronoun 'its' are consistent with the subject "The Beijing Language and Culture University Press".

Commas and periods generally go inside the quotation marks (there are situations in which they are outside). A semicolon has no place in this sentence. The comma after us, helps to remove the ambiguity that may arise "us as well" or "listen .. as well." Adding of Karzai is better followed by a colon than a comma. A comma would suffice if it was "adding to Karzai".

The first part of the sentence is a modifying phrase (subject modifier); the correct subject is 'private sector', 'laid off' is teh correct past tense of 'lay off'.

The subjunctive mood (If I were.) - "in grammar, subjunctive mood designates the mood of a verb used to express condition, hypothesis, contingency, possibility, etc., rather than to state an actual fact: distinguished from imperative, indicative." Also, in modern English "If I was you ..." is completely incorrect. If.... then as a conjunction is best avoided, though it is not always incorrect; 'if' would suffice in most situations.

We know that the dice has only numbers 5,6 more than 4.
5 or 6 out of a sample space of 1,2,3,4,5 or 6
We also know the probability of having one number is 1/6.
Hence is P (5) or P (6) = 1/6  + 1/6  = 2/6=1/3 

Event definition: First is blue and second is blue = 7/12 X 6/11 = 7/22.

From the figure it is evident that 80 students passed at least 1 exam. Thus, 20 failed both and the required probability is 20/100 = 1/5.

With a six on the first dice, there are 6 possibilities of outcomes that can appear on the other dice (viz. 6 & 1, 6 & 2, 6 & 3, 6 & 4, 6 &5 and 6&6).At the same time with 6 on the second dice there are 5 more possibilities for outcomes on the first dice: (1 & 6, 2 & 6, 3 & 6, 4 & 6, 5 & 6)
Also, the total outcomes are 36. Hence, the required probability is 11/36.
 

Odds against an event = p(E’)/p(E)
In this case, the event is: All black, i.e., First is black and second is black and third is black.
P(E) = 5/9 X 4/8 X 3/7 = 60/504 = 5/42.
Odds against the event = 37/5.

Event definition is: 15 or 16 or 17 or 18.
15 can be got as: 
5 and 5 and 5 (one way)            
Or
6 and 5 and 4 (Six ways)        
Or 6 and 6 and 3 (3 ways)        
Total of 10 ways. 16can be got as: 6 and 6 and 4 (3ways)
Or 6 and 5 and 5 (3ways) = Total 6 ways.
17 has 3 ways and 18 has 1 way of appearing. Thus, the required probability is: (10 + 6 + 3 + 1)/216 = 20/216 = 5/54. 

Positive outcomes = 2 (187 or 215) Total outcomes = 9 X 8 X 7
Required probability = 2/504

Sum less than 10 is the non event for the case sum is 10 or 11 or 12. There are 3 ways of getting 10, 2 ways of getting 11 and 1 way of getting a sum of 12 in the throw of two dice. 
Thus, the required probability would be 1 – 6/36 = 5/6.

Probability of winning X Reward of winning = (10/5000) X 1 crore = (1 crore/500) = 20000.

Once a black ball is selected, the probability of black is going to get affected as the number of black balls & total balls decrease by a number of 1 for each removal of blackball.
Black and Black and Black = 4/9 X 3/8 X 2/7 = 24/504 = 1/21.