Class 10 NTSE Delhi - Question Papers SAT 2015-16

 Page 1


 
     
 
  
 
            
MENTAL ABILITY TEST (MAT) 
(QUESTION No. 01 – 50) 
 
MAT 
Time : 45 Minutes    Max. Marks : 50 
 
INSTRUCTIONS TO CANDIDATES 
Read the following instructions carefully before you open the questions booklet. 
1. Use blue/black ball point pen only. There is no negative marking. 
2. This test booklet contains 50 questions of one mark each. All the questions are compulsory. 
3. Answer each questions by darkening the one correct alternative among the four choices on the 
OMR SHEET with black/blue ball point pen. 
        
 
Q.No. Alternatives 
Q.No. Alternatives 
1 1 2  4 
1 1 2 3 4 
? 
Example : 
Correct way : 
Wrong way : 
  
 Student must darken the right oval only after ensuring correct answer on OMR sheet. 
4. Students must darken the right oval only after ensuring correct answer on the OMR sheet. 
5. Students can not scratch/alter/change out an incorrect answer once marked on OMR sheet, by 
using white fluid/eraser/blade/tearing/wearing or in any other form. 
6. Separate sheet has been provided for rough work in this test booklet. 
7. * Please handover the OMR sheet to the invigilator before leaving the Examination hall. 
 * Take all your question booklets with you. 
8. Darken completely the ovals of your answers on OMR sheet in the time limit allotted for that 
particular paper. 
9. Your OMR sheet will be evaluated through electronic scanning process. Incomplete and 
incorrect entries may render your OMR sheet invalid. 
10. Use of electronic gadgets, calculator, mobile etc. is strictly prohibited. 
 
  
Page 2


 
     
 
  
 
            
MENTAL ABILITY TEST (MAT) 
(QUESTION No. 01 – 50) 
 
MAT 
Time : 45 Minutes    Max. Marks : 50 
 
INSTRUCTIONS TO CANDIDATES 
Read the following instructions carefully before you open the questions booklet. 
1. Use blue/black ball point pen only. There is no negative marking. 
2. This test booklet contains 50 questions of one mark each. All the questions are compulsory. 
3. Answer each questions by darkening the one correct alternative among the four choices on the 
OMR SHEET with black/blue ball point pen. 
        
 
Q.No. Alternatives 
Q.No. Alternatives 
1 1 2  4 
1 1 2 3 4 
? 
Example : 
Correct way : 
Wrong way : 
  
 Student must darken the right oval only after ensuring correct answer on OMR sheet. 
4. Students must darken the right oval only after ensuring correct answer on the OMR sheet. 
5. Students can not scratch/alter/change out an incorrect answer once marked on OMR sheet, by 
using white fluid/eraser/blade/tearing/wearing or in any other form. 
6. Separate sheet has been provided for rough work in this test booklet. 
7. * Please handover the OMR sheet to the invigilator before leaving the Examination hall. 
 * Take all your question booklets with you. 
8. Darken completely the ovals of your answers on OMR sheet in the time limit allotted for that 
particular paper. 
9. Your OMR sheet will be evaluated through electronic scanning process. Incomplete and 
incorrect entries may render your OMR sheet invalid. 
10. Use of electronic gadgets, calculator, mobile etc. is strictly prohibited. 
 
  
 
     
 
MENTAL ABILITY TEST (MAT) 
 
1. If 2
pq
qp
?? , what is the value of 
23 7
pq
qp
? ? ? ?
?
? ? ? ?
? ? ? ?
 
 (1) 0 (2) 2 (3) ?2 (4) none of these 
 
 
2. Parth misses a train by 1 hour, if he travels at a speed of 4 km/h.  If  he increases his speed to 
5km/h, he still misses the train by 24 minutes. At what speed he should travel so that he 
reaches the station exactly on time. 
 (1) 15 km/h (2) 8 km/h (3) 10 km/h (4) 6 km/h 
 
3. If 3A=4B, 2C=3B, Find A : B : C 
 (1) 6:8:9 (2) 8:6:9 (3) 9:8:6 (4) 8:9:6 
 
4. Find HCF of 
642
5 15 5
,, 
 (1) 
6
15
 (2) 
2
15
 (3) 
2
5
 (4) 
4
15
 
 
5. The present price of car is Rs.7290/-.  If its value decreased every year by 10%, then its value 
three years back was 
 (1) Rs.11,500/- (2) Rs.10,500/- (3) Rs.10,000/- (4) Rs.8,000/- 
 
6. The simplified value of 
11
2 3 5 2 3 5
?
? ? ? ?
 is 
 (1) 1 (2) 0 (3) 2 (4) 
1
2
 
 
7. 
2
3 3 27
x y x y
,
??
?? then what will be the value of  3
x ?y 
? 
 (1) 
1
27
 (2) 3 (3) 
1
3
 (4) 3 
 
8. In a 100m race, A beats B by 20m or 5 seconds, Find the speed of A 
 (1) 5 m/sec (2) 4 m/sec (3) 6m/sec (4) 8 m/sec 
 
9. 11 11 11 11...... ? = ? 
 (1) 
16 14
11 (2) 
16 4
11 (3) 11 (4) 
16 15
11 
 
10. The unit’s digit in the product of first 60 odd natural numbers is 
 (1) 7 (2) 0 (3) 5 (4) none of these 
 
11. The salary of a worker is first increased by 12% and thereafter it was reduced by 12%, what 
was the change in the salary 
 (1) 1.44% decrease (2) 1% increase (3) no change (4) 1.44% increase 
 
12. If x
47
+1 is divided by x
2
?1
,
, the remainder will be 
 (1) x ?1 (2) x+1 (3) x (4) ?x 
 
Page 3


 
     
 
  
 
            
MENTAL ABILITY TEST (MAT) 
(QUESTION No. 01 – 50) 
 
MAT 
Time : 45 Minutes    Max. Marks : 50 
 
INSTRUCTIONS TO CANDIDATES 
Read the following instructions carefully before you open the questions booklet. 
1. Use blue/black ball point pen only. There is no negative marking. 
2. This test booklet contains 50 questions of one mark each. All the questions are compulsory. 
3. Answer each questions by darkening the one correct alternative among the four choices on the 
OMR SHEET with black/blue ball point pen. 
        
 
Q.No. Alternatives 
Q.No. Alternatives 
1 1 2  4 
1 1 2 3 4 
? 
Example : 
Correct way : 
Wrong way : 
  
 Student must darken the right oval only after ensuring correct answer on OMR sheet. 
4. Students must darken the right oval only after ensuring correct answer on the OMR sheet. 
5. Students can not scratch/alter/change out an incorrect answer once marked on OMR sheet, by 
using white fluid/eraser/blade/tearing/wearing or in any other form. 
6. Separate sheet has been provided for rough work in this test booklet. 
7. * Please handover the OMR sheet to the invigilator before leaving the Examination hall. 
 * Take all your question booklets with you. 
8. Darken completely the ovals of your answers on OMR sheet in the time limit allotted for that 
particular paper. 
9. Your OMR sheet will be evaluated through electronic scanning process. Incomplete and 
incorrect entries may render your OMR sheet invalid. 
10. Use of electronic gadgets, calculator, mobile etc. is strictly prohibited. 
 
  
 
     
 
MENTAL ABILITY TEST (MAT) 
 
1. If 2
pq
qp
?? , what is the value of 
23 7
pq
qp
? ? ? ?
?
? ? ? ?
? ? ? ?
 
 (1) 0 (2) 2 (3) ?2 (4) none of these 
 
 
2. Parth misses a train by 1 hour, if he travels at a speed of 4 km/h.  If  he increases his speed to 
5km/h, he still misses the train by 24 minutes. At what speed he should travel so that he 
reaches the station exactly on time. 
 (1) 15 km/h (2) 8 km/h (3) 10 km/h (4) 6 km/h 
 
3. If 3A=4B, 2C=3B, Find A : B : C 
 (1) 6:8:9 (2) 8:6:9 (3) 9:8:6 (4) 8:9:6 
 
4. Find HCF of 
642
5 15 5
,, 
 (1) 
6
15
 (2) 
2
15
 (3) 
2
5
 (4) 
4
15
 
 
5. The present price of car is Rs.7290/-.  If its value decreased every year by 10%, then its value 
three years back was 
 (1) Rs.11,500/- (2) Rs.10,500/- (3) Rs.10,000/- (4) Rs.8,000/- 
 
6. The simplified value of 
11
2 3 5 2 3 5
?
? ? ? ?
 is 
 (1) 1 (2) 0 (3) 2 (4) 
1
2
 
 
7. 
2
3 3 27
x y x y
,
??
?? then what will be the value of  3
x ?y 
? 
 (1) 
1
27
 (2) 3 (3) 
1
3
 (4) 3 
 
8. In a 100m race, A beats B by 20m or 5 seconds, Find the speed of A 
 (1) 5 m/sec (2) 4 m/sec (3) 6m/sec (4) 8 m/sec 
 
9. 11 11 11 11...... ? = ? 
 (1) 
16 14
11 (2) 
16 4
11 (3) 11 (4) 
16 15
11 
 
10. The unit’s digit in the product of first 60 odd natural numbers is 
 (1) 7 (2) 0 (3) 5 (4) none of these 
 
11. The salary of a worker is first increased by 12% and thereafter it was reduced by 12%, what 
was the change in the salary 
 (1) 1.44% decrease (2) 1% increase (3) no change (4) 1.44% increase 
 
12. If x
47
+1 is divided by x
2
?1
,
, the remainder will be 
 (1) x ?1 (2) x+1 (3) x (4) ?x 
 
 
     
 
13. In the figure given below, DE||AC, find the value of x. 
 (1) 2 (2) 3  
 (3) 1 (4) 4 
 
 
 
B 
C 
2x 
A 
2x+10 
x+7 
E 
D 
3x 
 
 
14. In the certain examination, 77% candidates passed in English and 34% failed in Mathematics.  
If 13% failed in both the subjects  and 784 candidates passed in both the subjects, then the 
total number of candidates was 
 (1) 1200 (2) 1400 (3) 1600 (4) 1800 
 
15. What is the value of 
160 160 160 160 160 160
2 7 7 12 12 17 17 22 22 27 27 32
? ? ? ? ?
? ? ? ? ? ?
 
 (1) 17 (2) 15 (3) 13 (4) 11 
 
16. 4 boys and 3 girls spent Rs.120 on the average, of which boys spend Rs.150 on the average, 
then the average amount spent by girls is   
 (1) Rs.80 (2) Rs.60 (3) Rs.90 (4) Rs.100 
 
17. An empty pool being filled with water at a constant rate takes 8 hours to fill 
3
5
th of its capacity.  
How much more time will it take to finish filling the pool? 
 (1) 5 hours 30 minutes  (2) 5 hours 20 minutes 
 (3) 4 hours 48 minutes  (4) 4 hours 50 minutes  
 
18. Value of 
1 1 1
1 1 1 1
12
x
x x x
?? ? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ??
??
? ? ? ? ? ? ??
 is  
 (1) 3 (2) 2x (3) 5x (4) 1 
 
19. If 2tan x = 1, then value of 
2 cosx sinx
cosx sinx
?
?
 is. 
 (1) 1 (2) 0 (3) 4 (4) 2 
 
20. In the figure given below, equilateral triangle EDC surmounts 
square ABCD.  Find the angle DEB represented by x 
 (1) 60° (2) 15° 
 (3) 30° (4) 45° 
 
 
C 
B 
D 
E 
x 
A 
 
 
21. Simplify the value of 
3 75 3 75 1 25 1 25 2 3 75 1 25
3 75 3 75 1 25 1 25
. . . . . .
. . . .
? ? ? ? ? ?
? ? ?
 
 (1) 5.0 (2) 0.5 (3) 2.5 (4) 1.5 
 
22. When my father was 31, I was 8.  Now he is twice  as old as I am.  How old am I? 
 (1) 23 years (2) 46 years (3) 22 years (4) 24 years 
 
23. Raj wanted to type the first 200 natural numbers, how many times does he have to press the 
keys 
 (1) 489 (2) 492 (3) 400 (4) 365 
 
Page 4


 
     
 
  
 
            
MENTAL ABILITY TEST (MAT) 
(QUESTION No. 01 – 50) 
 
MAT 
Time : 45 Minutes    Max. Marks : 50 
 
INSTRUCTIONS TO CANDIDATES 
Read the following instructions carefully before you open the questions booklet. 
1. Use blue/black ball point pen only. There is no negative marking. 
2. This test booklet contains 50 questions of one mark each. All the questions are compulsory. 
3. Answer each questions by darkening the one correct alternative among the four choices on the 
OMR SHEET with black/blue ball point pen. 
        
 
Q.No. Alternatives 
Q.No. Alternatives 
1 1 2  4 
1 1 2 3 4 
? 
Example : 
Correct way : 
Wrong way : 
  
 Student must darken the right oval only after ensuring correct answer on OMR sheet. 
4. Students must darken the right oval only after ensuring correct answer on the OMR sheet. 
5. Students can not scratch/alter/change out an incorrect answer once marked on OMR sheet, by 
using white fluid/eraser/blade/tearing/wearing or in any other form. 
6. Separate sheet has been provided for rough work in this test booklet. 
7. * Please handover the OMR sheet to the invigilator before leaving the Examination hall. 
 * Take all your question booklets with you. 
8. Darken completely the ovals of your answers on OMR sheet in the time limit allotted for that 
particular paper. 
9. Your OMR sheet will be evaluated through electronic scanning process. Incomplete and 
incorrect entries may render your OMR sheet invalid. 
10. Use of electronic gadgets, calculator, mobile etc. is strictly prohibited. 
 
  
 
     
 
MENTAL ABILITY TEST (MAT) 
 
1. If 2
pq
qp
?? , what is the value of 
23 7
pq
qp
? ? ? ?
?
? ? ? ?
? ? ? ?
 
 (1) 0 (2) 2 (3) ?2 (4) none of these 
 
 
2. Parth misses a train by 1 hour, if he travels at a speed of 4 km/h.  If  he increases his speed to 
5km/h, he still misses the train by 24 minutes. At what speed he should travel so that he 
reaches the station exactly on time. 
 (1) 15 km/h (2) 8 km/h (3) 10 km/h (4) 6 km/h 
 
3. If 3A=4B, 2C=3B, Find A : B : C 
 (1) 6:8:9 (2) 8:6:9 (3) 9:8:6 (4) 8:9:6 
 
4. Find HCF of 
642
5 15 5
,, 
 (1) 
6
15
 (2) 
2
15
 (3) 
2
5
 (4) 
4
15
 
 
5. The present price of car is Rs.7290/-.  If its value decreased every year by 10%, then its value 
three years back was 
 (1) Rs.11,500/- (2) Rs.10,500/- (3) Rs.10,000/- (4) Rs.8,000/- 
 
6. The simplified value of 
11
2 3 5 2 3 5
?
? ? ? ?
 is 
 (1) 1 (2) 0 (3) 2 (4) 
1
2
 
 
7. 
2
3 3 27
x y x y
,
??
?? then what will be the value of  3
x ?y 
? 
 (1) 
1
27
 (2) 3 (3) 
1
3
 (4) 3 
 
8. In a 100m race, A beats B by 20m or 5 seconds, Find the speed of A 
 (1) 5 m/sec (2) 4 m/sec (3) 6m/sec (4) 8 m/sec 
 
9. 11 11 11 11...... ? = ? 
 (1) 
16 14
11 (2) 
16 4
11 (3) 11 (4) 
16 15
11 
 
10. The unit’s digit in the product of first 60 odd natural numbers is 
 (1) 7 (2) 0 (3) 5 (4) none of these 
 
11. The salary of a worker is first increased by 12% and thereafter it was reduced by 12%, what 
was the change in the salary 
 (1) 1.44% decrease (2) 1% increase (3) no change (4) 1.44% increase 
 
12. If x
47
+1 is divided by x
2
?1
,
, the remainder will be 
 (1) x ?1 (2) x+1 (3) x (4) ?x 
 
 
     
 
13. In the figure given below, DE||AC, find the value of x. 
 (1) 2 (2) 3  
 (3) 1 (4) 4 
 
 
 
B 
C 
2x 
A 
2x+10 
x+7 
E 
D 
3x 
 
 
14. In the certain examination, 77% candidates passed in English and 34% failed in Mathematics.  
If 13% failed in both the subjects  and 784 candidates passed in both the subjects, then the 
total number of candidates was 
 (1) 1200 (2) 1400 (3) 1600 (4) 1800 
 
15. What is the value of 
160 160 160 160 160 160
2 7 7 12 12 17 17 22 22 27 27 32
? ? ? ? ?
? ? ? ? ? ?
 
 (1) 17 (2) 15 (3) 13 (4) 11 
 
16. 4 boys and 3 girls spent Rs.120 on the average, of which boys spend Rs.150 on the average, 
then the average amount spent by girls is   
 (1) Rs.80 (2) Rs.60 (3) Rs.90 (4) Rs.100 
 
17. An empty pool being filled with water at a constant rate takes 8 hours to fill 
3
5
th of its capacity.  
How much more time will it take to finish filling the pool? 
 (1) 5 hours 30 minutes  (2) 5 hours 20 minutes 
 (3) 4 hours 48 minutes  (4) 4 hours 50 minutes  
 
18. Value of 
1 1 1
1 1 1 1
12
x
x x x
?? ? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ??
??
? ? ? ? ? ? ??
 is  
 (1) 3 (2) 2x (3) 5x (4) 1 
 
19. If 2tan x = 1, then value of 
2 cosx sinx
cosx sinx
?
?
 is. 
 (1) 1 (2) 0 (3) 4 (4) 2 
 
20. In the figure given below, equilateral triangle EDC surmounts 
square ABCD.  Find the angle DEB represented by x 
 (1) 60° (2) 15° 
 (3) 30° (4) 45° 
 
 
C 
B 
D 
E 
x 
A 
 
 
21. Simplify the value of 
3 75 3 75 1 25 1 25 2 3 75 1 25
3 75 3 75 1 25 1 25
. . . . . .
. . . .
? ? ? ? ? ?
? ? ?
 
 (1) 5.0 (2) 0.5 (3) 2.5 (4) 1.5 
 
22. When my father was 31, I was 8.  Now he is twice  as old as I am.  How old am I? 
 (1) 23 years (2) 46 years (3) 22 years (4) 24 years 
 
23. Raj wanted to type the first 200 natural numbers, how many times does he have to press the 
keys 
 (1) 489 (2) 492 (3) 400 (4) 365 
 
 
     
 
24. The mean of x and 
1
x
 is N.  Then the mean of x
2
 and 
2
1
x
 is 
 (1) N
2
 (2) N
2
?2 (3) 2N
2
?1 (4) 4N
2
?2 
 
25. Which is the greatest among 
6
100 , 
3
12, and 3 
 (1) 3 (2) 
6
100 (3) 
3
12 (4) cannot be determined 
 
26. In a code language ‘TIGER’ is written as ‘RIGET’.  How ‘CROWN’ will be written in the same 
code? 
 (1) NRWCO (2) NROWC (3) ROWRC (4) NOWCR 
 
27. Find the next term in the following series  
 APZLT,  CQYNR,  ERXPP,  GSWRN,  ITVTL.   
 (1) KUUVJ (2) KVUUJ (3) JUVUR (4) KVUVJ 
 
28. In the following series of numbers, find out how many times 1, 3 and 7 have appeared 
together, 7 being in the middle and 1 and 3 either side of 7 
 2973173771331738571377173906 
 (1) 3 times (2) 4 times (3) 2 times (4) 5 times 
 
29. If 25
th
 December of 2008 was Thursday, what will be the day on 1
st
 January of 2010? 
 (1) Friday (2) Monday (3) Wednesday (4) Sunday 
 
30. Six faces of a cube are coloured black, brown, green, red, white and blue, such that Red is at 
the bottom, Brown is adjacent to Black, Black is adjacent to white, Red is opposite to Blue, 
Green is between Red & Blue.  Which colour is opposite to Brown? 
 (1) Blue (2) Black (3) White (4) Green 
 
Direction (Q. No. 31-32) 
 Observe the die given below and answer: 
 
 
3 
4 
5 
5 
1 
3 
4 
3 
2 
2 
3 
1 
 
31. Which number is opposite to 4 
 (1) 1 (2) 2 (3) 3 (4) 5 
 
32. What is the sum of numbers on two faces when one number is 5 & the other is on its opposite 
face? 
 (1) 5 (2) 9 (3) 7 (4) 6 
 
33. Five persons namely P, Q, R, S & T are enjoying picnic sitting in the park.  P is mother of R 
who is wife of T. S is brother of P and Q is the husband of P.  How is R related to Q? 
 (1) Daughter (2) Daughter in Law (3) Son (4) Sister 
 
34. What is the number of triangles in the figure given below: 
 (1) 22 (2) 24  
 (3) 16 (4) 18 
 
 
 
 
35. Read the following information carefully and answer the questions given below it:    
 Six students A, B, C, D, E & F are sitting in a closed circle facing the teacher standing at the 
centre.  E is to the left of the D, C is between A & B.  F is between E and A.  Who is to the 
right of C? 
 (1) A (2) B (3) C (4) D 
Page 5


 
     
 
  
 
            
MENTAL ABILITY TEST (MAT) 
(QUESTION No. 01 – 50) 
 
MAT 
Time : 45 Minutes    Max. Marks : 50 
 
INSTRUCTIONS TO CANDIDATES 
Read the following instructions carefully before you open the questions booklet. 
1. Use blue/black ball point pen only. There is no negative marking. 
2. This test booklet contains 50 questions of one mark each. All the questions are compulsory. 
3. Answer each questions by darkening the one correct alternative among the four choices on the 
OMR SHEET with black/blue ball point pen. 
        
 
Q.No. Alternatives 
Q.No. Alternatives 
1 1 2  4 
1 1 2 3 4 
? 
Example : 
Correct way : 
Wrong way : 
  
 Student must darken the right oval only after ensuring correct answer on OMR sheet. 
4. Students must darken the right oval only after ensuring correct answer on the OMR sheet. 
5. Students can not scratch/alter/change out an incorrect answer once marked on OMR sheet, by 
using white fluid/eraser/blade/tearing/wearing or in any other form. 
6. Separate sheet has been provided for rough work in this test booklet. 
7. * Please handover the OMR sheet to the invigilator before leaving the Examination hall. 
 * Take all your question booklets with you. 
8. Darken completely the ovals of your answers on OMR sheet in the time limit allotted for that 
particular paper. 
9. Your OMR sheet will be evaluated through electronic scanning process. Incomplete and 
incorrect entries may render your OMR sheet invalid. 
10. Use of electronic gadgets, calculator, mobile etc. is strictly prohibited. 
 
  
 
     
 
MENTAL ABILITY TEST (MAT) 
 
1. If 2
pq
qp
?? , what is the value of 
23 7
pq
qp
? ? ? ?
?
? ? ? ?
? ? ? ?
 
 (1) 0 (2) 2 (3) ?2 (4) none of these 
 
 
2. Parth misses a train by 1 hour, if he travels at a speed of 4 km/h.  If  he increases his speed to 
5km/h, he still misses the train by 24 minutes. At what speed he should travel so that he 
reaches the station exactly on time. 
 (1) 15 km/h (2) 8 km/h (3) 10 km/h (4) 6 km/h 
 
3. If 3A=4B, 2C=3B, Find A : B : C 
 (1) 6:8:9 (2) 8:6:9 (3) 9:8:6 (4) 8:9:6 
 
4. Find HCF of 
642
5 15 5
,, 
 (1) 
6
15
 (2) 
2
15
 (3) 
2
5
 (4) 
4
15
 
 
5. The present price of car is Rs.7290/-.  If its value decreased every year by 10%, then its value 
three years back was 
 (1) Rs.11,500/- (2) Rs.10,500/- (3) Rs.10,000/- (4) Rs.8,000/- 
 
6. The simplified value of 
11
2 3 5 2 3 5
?
? ? ? ?
 is 
 (1) 1 (2) 0 (3) 2 (4) 
1
2
 
 
7. 
2
3 3 27
x y x y
,
??
?? then what will be the value of  3
x ?y 
? 
 (1) 
1
27
 (2) 3 (3) 
1
3
 (4) 3 
 
8. In a 100m race, A beats B by 20m or 5 seconds, Find the speed of A 
 (1) 5 m/sec (2) 4 m/sec (3) 6m/sec (4) 8 m/sec 
 
9. 11 11 11 11...... ? = ? 
 (1) 
16 14
11 (2) 
16 4
11 (3) 11 (4) 
16 15
11 
 
10. The unit’s digit in the product of first 60 odd natural numbers is 
 (1) 7 (2) 0 (3) 5 (4) none of these 
 
11. The salary of a worker is first increased by 12% and thereafter it was reduced by 12%, what 
was the change in the salary 
 (1) 1.44% decrease (2) 1% increase (3) no change (4) 1.44% increase 
 
12. If x
47
+1 is divided by x
2
?1
,
, the remainder will be 
 (1) x ?1 (2) x+1 (3) x (4) ?x 
 
 
     
 
13. In the figure given below, DE||AC, find the value of x. 
 (1) 2 (2) 3  
 (3) 1 (4) 4 
 
 
 
B 
C 
2x 
A 
2x+10 
x+7 
E 
D 
3x 
 
 
14. In the certain examination, 77% candidates passed in English and 34% failed in Mathematics.  
If 13% failed in both the subjects  and 784 candidates passed in both the subjects, then the 
total number of candidates was 
 (1) 1200 (2) 1400 (3) 1600 (4) 1800 
 
15. What is the value of 
160 160 160 160 160 160
2 7 7 12 12 17 17 22 22 27 27 32
? ? ? ? ?
? ? ? ? ? ?
 
 (1) 17 (2) 15 (3) 13 (4) 11 
 
16. 4 boys and 3 girls spent Rs.120 on the average, of which boys spend Rs.150 on the average, 
then the average amount spent by girls is   
 (1) Rs.80 (2) Rs.60 (3) Rs.90 (4) Rs.100 
 
17. An empty pool being filled with water at a constant rate takes 8 hours to fill 
3
5
th of its capacity.  
How much more time will it take to finish filling the pool? 
 (1) 5 hours 30 minutes  (2) 5 hours 20 minutes 
 (3) 4 hours 48 minutes  (4) 4 hours 50 minutes  
 
18. Value of 
1 1 1
1 1 1 1
12
x
x x x
?? ? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ??
??
? ? ? ? ? ? ??
 is  
 (1) 3 (2) 2x (3) 5x (4) 1 
 
19. If 2tan x = 1, then value of 
2 cosx sinx
cosx sinx
?
?
 is. 
 (1) 1 (2) 0 (3) 4 (4) 2 
 
20. In the figure given below, equilateral triangle EDC surmounts 
square ABCD.  Find the angle DEB represented by x 
 (1) 60° (2) 15° 
 (3) 30° (4) 45° 
 
 
C 
B 
D 
E 
x 
A 
 
 
21. Simplify the value of 
3 75 3 75 1 25 1 25 2 3 75 1 25
3 75 3 75 1 25 1 25
. . . . . .
. . . .
? ? ? ? ? ?
? ? ?
 
 (1) 5.0 (2) 0.5 (3) 2.5 (4) 1.5 
 
22. When my father was 31, I was 8.  Now he is twice  as old as I am.  How old am I? 
 (1) 23 years (2) 46 years (3) 22 years (4) 24 years 
 
23. Raj wanted to type the first 200 natural numbers, how many times does he have to press the 
keys 
 (1) 489 (2) 492 (3) 400 (4) 365 
 
 
     
 
24. The mean of x and 
1
x
 is N.  Then the mean of x
2
 and 
2
1
x
 is 
 (1) N
2
 (2) N
2
?2 (3) 2N
2
?1 (4) 4N
2
?2 
 
25. Which is the greatest among 
6
100 , 
3
12, and 3 
 (1) 3 (2) 
6
100 (3) 
3
12 (4) cannot be determined 
 
26. In a code language ‘TIGER’ is written as ‘RIGET’.  How ‘CROWN’ will be written in the same 
code? 
 (1) NRWCO (2) NROWC (3) ROWRC (4) NOWCR 
 
27. Find the next term in the following series  
 APZLT,  CQYNR,  ERXPP,  GSWRN,  ITVTL.   
 (1) KUUVJ (2) KVUUJ (3) JUVUR (4) KVUVJ 
 
28. In the following series of numbers, find out how many times 1, 3 and 7 have appeared 
together, 7 being in the middle and 1 and 3 either side of 7 
 2973173771331738571377173906 
 (1) 3 times (2) 4 times (3) 2 times (4) 5 times 
 
29. If 25
th
 December of 2008 was Thursday, what will be the day on 1
st
 January of 2010? 
 (1) Friday (2) Monday (3) Wednesday (4) Sunday 
 
30. Six faces of a cube are coloured black, brown, green, red, white and blue, such that Red is at 
the bottom, Brown is adjacent to Black, Black is adjacent to white, Red is opposite to Blue, 
Green is between Red & Blue.  Which colour is opposite to Brown? 
 (1) Blue (2) Black (3) White (4) Green 
 
Direction (Q. No. 31-32) 
 Observe the die given below and answer: 
 
 
3 
4 
5 
5 
1 
3 
4 
3 
2 
2 
3 
1 
 
31. Which number is opposite to 4 
 (1) 1 (2) 2 (3) 3 (4) 5 
 
32. What is the sum of numbers on two faces when one number is 5 & the other is on its opposite 
face? 
 (1) 5 (2) 9 (3) 7 (4) 6 
 
33. Five persons namely P, Q, R, S & T are enjoying picnic sitting in the park.  P is mother of R 
who is wife of T. S is brother of P and Q is the husband of P.  How is R related to Q? 
 (1) Daughter (2) Daughter in Law (3) Son (4) Sister 
 
34. What is the number of triangles in the figure given below: 
 (1) 22 (2) 24  
 (3) 16 (4) 18 
 
 
 
 
35. Read the following information carefully and answer the questions given below it:    
 Six students A, B, C, D, E & F are sitting in a closed circle facing the teacher standing at the 
centre.  E is to the left of the D, C is between A & B.  F is between E and A.  Who is to the 
right of C? 
 (1) A (2) B (3) C (4) D 
 
     
 
 
36. During a military training Ashu is seventh from the left and Puru is twelfth from the right in a 
row.  If they interchange their positions, Ashu becomes twenty second from the left.  How 
many candidates are there in the row? 
 (1) 31 (2) 32 (3) 33 (4) 49 
 
37. A man walked 30m towards south.  Then, turned to his right and walked 30m.  He again 
turned to his left and walked 20m.  At last he turned to his left and walked 30m.  How far is he 
from his starting point? 
 (1) 20m (2) 80m (3) 50m (4) 60m 
 
38. Dinesh entered the conference room ten minutes before 12:30 hours for meeting.  He came 
20 minutes before Naresh who was 30 minutes late.  At what time, the meeting was 
scheduled? 
 (1) 12:10 (2) 12:20 (3) 12:40 (4) 12:50 
 
Direction for Question Number 39, 40 
Choose the correct mirror image of the given figures from the alternatives when the mirror is at MN 
39. Problem Figure 
 
 
 
M N 
 
  
 Answer Figure 
 
(a)                           (b)                        (c)                        (d) 
 
 
 
 (1) a (2) b (3) d (4) c 
 
40. Problem figure  
 
6
M
N
 
  
 Answer figure  
 
 
(a) (b) (c) (d) 
 
 (1) d (2) b (3) c (4) a 
 
41. If 1 ?2 = 32, 4 ?3 = 712, 4 ?7 = 1128 then 5 ?1 will be equal to  
 (1) 63 (2) 64 (3) 65 (4) 66 
 
42. If ‘+’ means ‘ ?’, ‘ ?’ means ‘x’, ‘x’ means ‘ ?’ and ‘ ?’ means ‘+’ then 15 ?3 ?5+5 ?2 equals  
 (1) 2 (2) 0 (3) 1 (4) 5